[1] Ahmad, S., Irons, B. M. and Zienkiewicz, O. C.. "Analysis of Thick and Thin Shell Structures by Curved Finite Elements". International Journal for Numerical Methods in Engineering. Vol. 2, No. 3. 419-451. 1970.

[2] K. J. Bathe. Finite Element Procedures. Prentice-Hall. Englewood Cliffs. 1996.

[3] M. A. Biot. Mechanics of Incremental Deformation. John Wiley and Sons. New York, 1965.

[4] L. H. Chen. "Piping Flexibility Analysis by Stiffness Matrix". ASME, Journal of Applied Mechanics. December 1959.

[5] R. D. Cook. Concepts and Applications of Finite Element Analysis, Second Edition. John Wiley and Sons. New York. 1981.

[6] R. D. Cook. "Two Hybrid Elements for Analysis of Thick, Thin and Sandwich Plates". International Journal for Numerical Methods in Engineering. Vol. 5, No. 2. 277-288. 1972.

[7] D. F. Cuniff and G. J. O'Hara. "Normal Mode Theory for Three-Directional Motion". NRL Report. 6170. U. S. Naval Research Laboratory. Washington D. C.. 1965.

[8] M. M. Denn. Optimization by Variational Methods. McGraw-Hill. New York. 1969.

[9] K. D. Henshell. "Automatic Masters for Eigenvalue Economization". Earthquake Engineering and Structural Dynamics. Vol. 3. 375-383. 1975.

[10] M. C. Imgrund. ANSYS® Verification Manual. Swanson Analysis Systems, Inc.. 1992.

[11] W. Flugge. Stresses in Shells. Springer Verla. Berlin. 1967.

[12] R. J. Fritz. "The Effect of Liquids on the Dynamic Motions of Immersed Solids". ASME Journal of Engineering for Industry. February, 1972.

[13] T. V. Galambos. Structural Members and Frames. Prentice-Hall. Englewood Cliffs. 1968.

[14] R. J. Guyan. "Reduction of Stiffness and Mass Matrices". AIAA Journal. Vol. 3, No. 2. February, 1965.

[15] A. S. Hall and R. W. Woodhead. Frame Analysis. John Wiley and Sons. New York. 1961.

[16] C. Rajakumar and C. R. Rogers. "The Lanczos Algorithm Applied to Unsymmetric Generalized Eigenvalue Problem". International Journal for Numerical Methods in Engineering. Vol. 32. 1009-1026. 1992.

[17] B. M. Irons. "A Frontal Solution Program for Finite Element Analysis". International Journal for Numerical Methods in Engineering. Vol. 2, No. 1. January, 1970, 5-23 Discussion May, 1970, p. 149.

[18] J. H. Wilkinson. The Algebraic Eigenvalue Problem. Clarendon Press. Oxford. 515-569. 1988.

[19] P. C. Kohnke and J. A. Swanson. "Thermo-Electric Finite Elements". Proceedings, International Conference on Numerical Methods in Electrical and Magnetic Field Problems. Santa Margherita Liqure Italy. June 1-4, 1976.

[20] P. C. Kohnke. "Large Deflection Analysis of Frame Structures by Fictitious Forces". International Journal of Numerical Methods in Engineering. Vol. 12, No. 8. 1278-1294. 1978.

[21] C. F. Kollbrunner and K. Basler. Torsion in Structures. Springer-Verlag. Berlin. 1969.

[22] E. J. Konopinski. Classical Descriptions of Motion. Freeman and Company. San Francisco. 1969.

[23] E. Kreyszig. Advanced Engineering Mathematics. John Wiley and Sons, Inc.. New York. 1962.

[24] S. G. Lekhnitskii. Theory of Elasticity of an Anisotropic Elastic Body. Holden-Day. San Francisco. 1963.

[25] R. J. Melosh and R. M. Bamford. "Efficient Solution of Load-Deflection Equations". ASCE Journal of the Structural Division. Vol. 95, No. ST4, Proc. Paper 6510, Apr., 1969. 661-676 Discussions Dec., 1969, Jan., Feb., May, 1970, Closure, Feb., 1971.

[26] Kanok-Nukulchai. "A Simple and Efficient Finite Element for General Shell Analysis". International Journal for Numerical Methods in Engineering. Vol. 14. 179-200 . 1979.

[27] J. T. Oden. Mechanics of Elastic Structures. McGraw-Hill. New York . 1968.

[28] J. S. Przemieniecki. Theory of Matrix Structural Analysis. McGraw-Hill. New York. 1968.

[29] W. C. Schnobrich and M. Suidan. "Finite Element Analysis of Reinforced Concrete". ASCE Journal of the Structural Division. ST10. 2109-2122 . October, 1973.

[30] P. Seide. "Large Deflection of Rectangular Membranes Under Uniform Pressure". International Journal of Non-Linear Mechanics. Vol. 12. 397-406.

[31] L. Skjelbreia and J. A. Hendrickson. "Fifth Order Gravity Wave Theory". Proceedings, Seventh Conference on Coastal Engineering. Ch. 10, 184-196. 1961.

[32] S. Timoshenko and S. Woinowskey-Kreiger. Theory of Plates and Shells. McGraw-Hill. New York . 1959.

[33] D. M. Tracey. "Finite Elements for Three Dimensional Elastic Crack Analysis". Nuclear Engineering and Design. Vol. 26. 1973.

[34] E. H. Vanmarcke. "Structural Response to Earthquakes". Seismic Risk and Engineering Decisions. Elsvier Scientific Publishing Co.. Amsterdam-Oxford, New York. edited by C. Lomnitz and E. Rosemblueth. 287-337. 1976.

[35] J. D. Wheeler. "Method of Calculating Forces Produced by Irregular Waves". Journal of Petroleum Technology. Vol. 22. 359-367. 1970.

[36] K. J. Willam. University of Colorado, Boulder. , Private Communication. 1982.

[37] K. J. Willam and E. D. Warnke. "Constitutive Model for the Triaxial Behavior of Concrete". Proceedings, International Association for Bridge and Structural Engineering. Vol. 19. ISMES. Bergamo, Italy. p. 174. 1975.

[38] E. L. Wilson, R. L. Taylor, W. P., Doherty, and J. Ghaboussi. "Incompatible Displacement Models". Numerical and Computer Methods in Structural Mechanics. edited by S. J. Fenves, et al. Academic Press, Inc.. N. Y. and London. 43-57. 1973.

[39] O. C. Zienkiewicz. The Finite Element Method. McGraw-Hill Company. London. 1977.

[40] ASME Boiler and Pressure Vessel Code, Section III, Division 1, Subsection NC, Class 2 Components. 1974.

[41] "Regulatory Guide". Published by the U. S. Nuclear Regulatory Commission, Regulatory Guide 1.92, Revision 1. February 1976.

[42] Kumar K. Tamma and Raju R. Namburu. "Recent Advances, Trends and New Perspectives Via Enthalpy-Based Finite Element Formulations for Applications to Solidification Problems". International Journal for Numerical Methods in Engineering. Vol. 30. 803-820. 1990.

[43] Shore Protection Manual, Published by the U. S. Army Coastal Engineering Research Center. Vol. I, Third Edition. 1977.

[44] F. P. Beer and R. E. Johnston. Vector Mechanics for Engineers, Statics and Dynamics. McGraw-Hill. New York. 1962.

[45] E. Hinton, A. Rock, and O. Zienkiewicz. "A Note on Mass Lumping and Related Processes in the Finite Element Method". International Journal of Earthquake Engineering and Structural Dynamics. Vol. 4. 245-249 . 1976.

[46] R. D. Krieg and D. B. Krieg. "Accuracies of Numerical Solution Methods for the Elastic-Perfectly Plastic Model". Journal of Pressure Vessel Technology. Transactions of the ASME. Vol. 99 No. 4, Series J. 510-515. November, 1977.

[47] William T. Thomson. Theory of Vibrations with Applications. Prentice Hall. 343-352. 1971.

[48] R. J. Roark and W. C. Young. Formulas for Stress and Strain. McGraw-Hill. New York. 1975.

[49] R. L. Taylor, P. J. Beresford, and E. L. Wilson. "A Non-Conforming Element for Stress Analysis". International Journal for Numerical Methods in Engineering. Vol. 10. 1211-1219. 1976.

[50] R. Hill. The Mathematical Theory of Plasticity. Oxford University Press. New York. 1983.

[51] C. F. Shih. D. Lee. "Further Developments in Anisotropic Plasticity". Journal of Engineering Materials and Technology. Vol. 100. 294-302. July 1978.

[52] S. Valliappan. "Nonlinear Analysis for Anistropic Materials". International Journal for Numerical Methods in Engineering. Vol. 10. 597-606. 1976.

[53] J. F. Besseling. "A Theory of Elastic, Plastic, and Creep Deformations of an Initially Isotropic Material Showing Aisotropic Strain-Hardening Creep Recovery and Secondary Creep". Journal of Applied Mechanics. 529-536. December 1958.

[54] R. J. Owen, A. Prakash, and O. C. Zienkiewicz. "Finite Element Analysis of Non-Linear Composite Materials by Use of Overlay Sytems". Computers and Structures, Pergamon Press. Vol. 4. 1251-1267.

[55] J. P. Holman. Heat Transfer. Fourth Edition. McGraw-Hill. New York. 1976.

[56] J. L. Batoz, K. J. Bathe, and L. W. Ho. "A Study of Three-Node Triangular Plate Bending Elements". International Journal of Numerical Methods in Engineering. Vol. 15. 1771-1812. 1980.

[57] A. Razzaque. "On the Four Noded Discrete Kirchhoff Shell Elements". Accuracy Reliability Training in FEM Technology. edited by Robinson, J.. 473-483. 1984.

[58] P. M. Gresho and R. L. Lee. "Don't Suppress the Wiggles - They're Telling You Something". Finite Element Methods for Convection Dominated Flows. Vol. 34. ASME Publication AMD. 37-61. 1979.

[59] R. G. Dean. Evaluation and Development of Water Wave Theories for Engineering Application. prepared for U. S. Army Corp of Engineers, Coastal Engineering Research Center. November 1974.

[60] ASME Boiler and Pressure Vessel Code. Section III, Division 1-1974, Subsection NB, Class 1 Components.

[61] American National Standard Code for Pressure Piping, Power Piping, ANSI B31.1-1977, Published by the American Society of Mechanical Engineers.

[62] R. M. Orris and M. Petyt. "Finite Element Study of Harmonic Wave Propagation in Periodic Structures". Journal of Sound and Vibration. 223-236. 1974.

[63] J. L. Gordon. "OUTCUR: An Automated Evaluation of Two-Dimensional Finite Element Stresses" according to ASME. Paper No. 76-WA/PVP-16. ASME Winter Annual Meeting. December 1976.

[64] M. J. D. Powell. "An Efficient Method for Finding the Minimum of a Function of Several Variables Without Calculating Derivatives". Computer Journal. Vol. 7. 155-162. 1964.

[65] E. L. Wilson, A. Der Kiereghian, and E. Bayo. "A Replacement for the SRSS Method in Seismic Analysis". Earthquake and Structural Dynamics. Vol. 9, No. 2. University of California, Berkeley. 187. March 1981.

[66] C. C. Rankin. F. A. Brogan. "An Element Independent Corotational Procedure for the Treatment of Large Rotations". Journal of Pressure Vessel Technology. Vol. 108. 165-174. May 1986.

[67] J. Argyris. "An Excursion into Large Rotations". Computer Methods in Applied Mechanics and Engineering. Vol. 32. 85-155. 1982.

[68] S. Tse, I. E. Morse, and R. T. Hinkle. Mechanical Vibrations. Allyn and Bacon. Boston. 1963.

[69] M. V. K. Chari. "Finite Element Solution of the Eddy Current Problem in Magnetic Structures”. IEEE Transactions on Power Apparatus and Systems. Vol. PAS-93. 62-72 . 1974.

[70] J. R. Brauer. "Finite Element Analysis of Electromagnetic Induction in Transformers". paper A77-122-5, IEEE Winter Power Meeting. New York City. 1977.

[71] S. C. Tandon. M. V. K. Chari. "Transient Solution of the Diffusion Equation by the Finite Element Method". Journal of Applied Physics. March 1981.

[72] P. P. Silvester, H. S. Cabayan, and B. T. Browne. "Efficient Techniques for Finite Element Analysis of Electric Machines". IEEE Transactions on Power Apparatus and Systems. Vol. PAS-92. 1274-1281. 1973.

[73] M. V. K. Chari and J. D'Angelo. "Finite Element Analysis of Magneto-Mechanical Devices". Fifth International Workshop in Rare Earth-Cobalt Permanent Magnets and Their Application. 7-10, Paper No. V1-1.. Roanoke, VA. June 1981.

[74] O. W. Anderson. "Transform Leakage Flux Program Based on the Finite Element Method". IEEE Transactions on Power Apparatus and Systems. Vol. PAS-92, No. 2. 1973.

[75] O. C. Zienkiewicz, J. Lyness, and D. R Owen. "Three-Dimensional Magnetic Field Determination Using a Scalar Potential - A Finite Element Solution". IEEE Transactions on Magnetics. Vol. MAG-13, No. 5. 1649-1656. 1977.

[76] J. L. Coulomb and G. Meunier. "Finite Element Implementation of Virtual Work Principle for Magnetic for Electric Force and Torque Calculation”. IEEE Transactions on Magnetics. Vol. Mag-2D, No. 5. 1894-1896. 1984.

[77] F. C. Moon. Magneto-Solid Mechanics. John Wiley and Sons. New York. 1984.

[78] A. J. Baker. Finite Element Computational Fluid Mechanics. McGraw-Hill Book Company. New York. 266-284. 1983.

[79] S. NW. Yuan. Foundations of Fluid Mechanics. Prentice-Hall International, Inc.. London. 71-102. 1976.

[80] Ray W. Clough and Joseph Penzien. Dynamics of Structures. McGraw-Hill. New York. p. 559. 1975.

[81] H. Allik and J. R. Hughes. "Finite Element for Piezoelectric Vibration". International Journal Numerical Methods of Engineering. No. 2. 151-157. 1970.

[82] N. P. Eer Nisse. "Variational Method for Electroelastic Vibration Analysis". IEEE Transactions on Sonics and Ultrasonics. Vol. SU-14, No. 4. 1967.

[83] J. Sato, M. Kawabuchi, and A. Fukumoto. "Dependence of the Electromechanical Coupling Coefficient on the Width-to-Thickness Ratio of Plant-Shaped Piezoelectric Transducers Used for Electronically Scanned Ultrasound Diagnostic Systems". Journal of Acoustics Society of America. No. 66 6. 1609-1611 . 1979.

[84] E. L. Kinsler. et. al.. Fundamentals of Acoustics. John Wiley and Sons. New York. 98-123. 1982.

[85] A. Craggs. "A Finite Element Model for Acoustically Lined Small Rooms". Journal of Sound and Vibration. Vol. 108, No. 2. 327-337.

[86] O. C. Zienkiewicz. R. E. Newton. "Coupled Vibrations of a Structure Submerged in a Compressible Fluid". Proceedings of the Symposium on Finite Element Techniques. University of Stuttgart. Germany. June 1969.

[87] Lawrence E. Malvern. Introduction to the Mechanics of a Continuous Medium. Prentice-Hall, Inc.. Englewood Cliffs, NJ. 1969.

[88] R. Siegal and J. R. Howell. Thermal Radiation Heat Transfer. Second Edition. Hemisphere Publishing Corporation. 1981.

[89] ANSI/IEEE Standard on Piezoelectricity IEEE Standard. 176. 1987.

[90] E. E. Antonova. D. C. Looman. “Finite elements for thermoelectric device analysis in ANSYS”. ICT 2005 24th International Conference on Thermoelectrics. 215-218. 2005.

[91] E. Onate, J. Rojek, R. L. Taylor, and O. C. Zienkiewicz. “Finite calculus formulation for incompressible solids using linear triangles and tetrahedra”. International Journal for Numerical Methods in Engineering. Vol. 59. 1473–1500. 2004.

[92] A. F. Fossum and J. T. Fredrich. Cap plasticity model and compactive and dilatant prefailure deformation. Pacific Rocks 200: Rock Around the Rim. A. A. Balkema. 1169-1176. 2000.

[93] Stephen W. Tsai. Composites Design. Third Edition, Section 11.6. Think Composites. Dayton, Ohio. 1987.

[94] J. Weiss. "Efficient Finite Element Solution of Multipath Eddy Current Problems". IEEE Transactions on Magnetics. Vol. MAG-18, No. 6. 1710-1712. 1982.

[95] V. K. Garg and J. Weiss. "Finite Element Solution of Transient Eddy-Current Problems in Multiply-Excited Magnetic Systems". IEEE Transactions on Magnetics. Vol. MAG-22, No. 5. 1257-1259 . 1986.

[96] E. N. Dvorkin. "On Nonlinear Finite Element Analysis of Shell Structures". Ph.D Thesis. Massachusetts Institute of Technology. 1984.

[97] E. N. Dvorkin and K. J. Bathe. "A Continuum Mechanics Based Four-Node Shell Element for General Nonlinear Analysis". Engineering Computations. Vol. 1. 77-88. 1984.

[98] K. J. Bathe and E. N. Dvorkin. "A Formulation of General Shell Elements - The Use of Mixed Interpolation of Tensorial Components". International Journal for Numerical Methods in Engineering. Vol. 22. 697-722. 1986.

[99] M. Hoit and E. L. Wilson. "An Equation Numbering Algorithm Based on a Minimum Front Criteria". Computers and Structures. Vol. 16. 225-239. 1983.

[100] E. Cuthill and J. McKee. "Reducing the Band Width of Sparse Symmetric Matrices". Proceedings of the ACM National Conference. New York. 1969.

[101] A. Georges and D. McIntyre. "On the Application of the Minimum Degree Algorithm to Finite Element Systems". SIAM Journal of Numerical Analysis. Vol. 15. 1978.

[102] O. C. Zienkiewicz and J. Z. Zhu. "A Simple Error Estimator and Adaptive Procedure for Practical Engineering Analysis". International Journal for Numerical Methods in Engineering. Vol. 24. 337-357. 1987.

[103] I. Babuska and W. C. Rheinboldt. "Analysis of Optimal Finite Element Meshes in R". Mathematics of Computation. Vol. 33. 431-463. 1979.

[104] W. Carnegie. "Vibrations of Rotating Cantilever Blading". Journal of Mechanical Engineering Science. Vol. 1. No. 3. 1959.

[105] P. G. Bergan and E. Mollestad. "An Automatic Time-Stepping Algorithm for Dynamic Problems". Computer Methods in Applied Mechanics and Engineering. Vol. 49. 1985.

[106] P. C. Paris and G. C. Sih. "Stress Analysis of Cracks". Fracture Toughness and Testing and its Applications. American Society for Testing and Materials. Philadelphia, STP 381. 30-83. 1965.

[107] G. J. O'Hara and R. O. Belsheim. "Interim Design Values for Shock Design of Shipboard Equipment". NRL Memorandum Report 1396. U.S. Naval Research Laboratory. Washington D.C.. 1963.

[108] A. Markovsky, T. F. Soules, and M. R. Vukcevich. "Mathematical and Computational Aspects of a General Viscoelastic Theory". G. E. Lighting and Research and Technical Services Operation. Report No. 86-LRL-2021. February 1986.

[109] G. W. Scherer and S. M. Rekhson. "Viscoelastic-Elastic Composites: I, General Theory". Journal of the American Ceramic Society. Vol. 65, No. 7. 1982.

[110] O. S. Narayanaswamy. "A Model of Structural Relaxation in Glass". Journal of the American Ceramic Society. Vol. 54, No. 10. 491-498. 1971.

[111] O. C. Zienkiewicz, M. Watson, and I. P. King. "A Numerical Method of Visco-Elastic Stress Analysis". International Journal of Mechanical Science. Vol. 10. 807-827. 1968.

[112] R. L. Taylor, K. S. Pister, and G. L. Goudreas. "Thermochemical Analysis of Viscoelastic Solids". International Journal for Numerical Methods in Engineering. Vol. 2. 45-59. 1970.

[113] D. J. Allman. "A Compatible Triangular Element Including Vertex Rotations for Plane Elasticity Analysis". Computers and Structures. Vol. 19. 1-8. 1984.

[114] R. D. Cook. "On the Allman Triangle and a Related Quadrilateral Element". Computers and Structures. Vol. 22. 1065-1067. 1986.

[115] R. H. MacNeal and R. L. Harder. "A Refined For-Noded Membrane Element with Rotational Degrees of Freedom". Computers and Structures. Vol. 28, No. 1. 75-84.

[116] S. J. Garvey. "The Quadrilateral Shear Panel". Aircraft Engineering. p. 134. May 1951.

[117] Shah M. Yunus, Timothy P. Pawlak, and R. D. Cook. "Solid Elements with Rotational Degrees of Freedom Part 1 and Part 2". International Journal for Numerical Methods in Engineering. Vol. 31. 573-610. 1991.

[118] O. A. Mohammed. "Magnetic Vector Potential Based Formulation and Computation of Nonlinear Magnetostatic Fields and Forces in Electrical Devices by Finite Elements". Ph.D. Dissertation. Virginia Polytechnic Institute and State University. Blacksburg, VA . May 1983.

[119] I. D. Mayergoyz. "A New Scalar Potential Formulation for Three-Dimensional Magnetostatic Problems". IEEE Transactions on Magnetics. Vol. MAG-23, No. 6. 3889-3894. 1987.

[120] Oszkar Biro and Kurt Preis. "On the Use of the Magnetic Vector Potential in the Finite Element Analysis of Three-Dimensional Eddy Currents". IEEE Transactions on Magnetics. Vol. 25, No. 4. 3145-3159 . July 1989.

[121] J. Robinson. Basic and Shape Sensivity Tests for Membrane and Plate Bending Finite Elements. Robinson and Associates. January 1985.

[122] Y. Kagawa, T. Yamabuchi, and S. Kitagami. "Infinite Boundary Element and its Application to a Combined Finite-Boundary Element Technique for Unbounded Field Problems". Boundary Elements VIII. ed. C. A. Brebbia. Springer-Verlag,. New York, NY. 1986.

[123] J. T. Oden and N. Kikuchi. "Finite Element Methods for Constrained Problems in Elasticity". International Journal for Numerical Methods in Engineering. Vol. 18, No. 5. 701-725. 1982.

[124] T. Sussman and K. J. Bathe. "A Finite Element Formulation for Nonlinear Incompressible Elastic and Inelastic Analysis". Computers and Structures. Vol. 26, No. 1/2. 357-409. 1987.

[125] O. C. Zienkiewicz, Y. C. Liu, and G. C. Huang. "Error Estimates and Convergence Rates for Various Incompressible Elements". International Journal for Numerical Methods in Engineering. Vol. 28, No. 9. 2191-2202. 1989.

[126] H. C. Huang and R. W. Lewis. "Adaptive Analysis for Heat Flow Problems Using Error Estimation Techniques". Paper presented at the 6th International Conference on Numerical Methods in Thermal Problems. Also University of Wales, University College of Swansea Internal Report CR/635/89 April 1989.

[127] G. G. Weber, A. M. Lush, A. Zavaliangos, and L. Anand. "An Objective Time-Integration Procedure for Isotropic Rate-Independent Elastic-Plastic Constitutive Equations". International Journal of Plasticity. Vol. 6. 701-749. 1990.

[128] G. M. Eggert and P. R. Dawson. "A Viscoplastic Formulation with Plasticity for Transient Metal Forming". Computer Methods in Applied Mechanics and Engineering. Vol. 70. 165-190. 1988.

[129] R. Narayanaswami and H. M. Adelman. "Inclusion of Transverse Shear Deformation in Finite Element Displacement Formulations". American Institute of Aeronautics and Astronautics Journal. Vol. 12, No. 11. 1613-1614. 1974.

[130] I. Kaljevic, S. Saigal, and A. Ali. "An Infinite Boundary Element Formulation for Three-Dimensional Potential Problems". International Journal for Numerical Methods in Engineering. Vol. 35, No. 10. 2079-2100. 1992.

[131] Simo .. "Finite Deformation Post-Buckling Analysis Involving Inelasticity and Contact Constraints". International Journal for Numerical Methods in Engineering. Vol. 23. 779-800. 1986.

[132] H. Parisch. "A Consistent Tangent Stiffness Matrix for Three-Dimensional Non-Linear Contact Analysis". International Journal for Numerical Methods in Engineering. Vol.28. 1803-1812. 1989.

[133] Bayo. "A Modified Lagrangian Formulation for the Dynamic Analysis of Constrained Mechanical Systems". Computer Methods in Applied Mechanics and Engineering. Vol. 71. 183-195. 1988.

[134] Jiang and Rodgers. "Combined Lagrangian Multiplier and Penalty Function Finite Element Technique for Elastic Impact Analysis". Computers and Structures. Vol. 30. 1219-1229. 1988.

[135] Giannakopoulos. "The Return Mapping Method for the Integration of Friction Constitutive Relations". Computers and Structures. Vol. 32. 157-167. 1989.

[136] Ridic and Owen. "A Plasticity Theory of Friction and Joint Elements". Computational Plasticity: Models, Software, and Applications. Part II. Proceedings of the Second International Conference, Barcelona, Spain, Pineridge Press, Swanse. 1043-1062. Editors Owen, Hinton, Ornate. 1989.

[137] Wriggers, VuVan, and Stein. "Finite Element Formulation of Large Deformation Impact-Contact Problems with Friction". Computers and Structures. Vol. 37. 319-331. 1990.

[138] Stein, Wriggers and VuVan. "Models of Friction, Finite-Element Implementation and Application to Large Deformation Impact-Contact Problems". Computational Plasticity: Models, Software, and Applications. Part II. Proceedings of the Second International Conference, Barcelona, Spain, Pineridge Press, Swansea. 1015-1041. Editors Owen, Hinton, Ornate. 1989.

[139] S. M. Yunus, P. C. Kohnke, and S. Saigal. "An Efficient Through-Thickness Integration Scheme in an Unlimited Layer Doubly Curved Isoparametric Composite Shell Element". International Journal for Numerical Methods in Engineering. Vol. 28. 2777-2793. 1989.

[140] E. R. Geddes. "An Analysis of the Low Frequency Sound Field in Non-Rectangular Enclosures Using the Finite Element Method". Ph.D Thesis, Pennsylvania State University. 1982.

[141] M. Gyimesi, D. Lavers, T. Pawlak, and D. Ostergaard. "Application of the General Potential Formulation in the ANSYS®Program". IEEE Transactions on Magnetics. Vol. 29. 1345-1347. 1993.

[142] C. Rajakumar and A. Ali. "A Solution Method for Acoustic Boundary Element Eigenproblem With Sound Absorption Using Lanczos Algorithm". Proceedings of 2nd International Congress on Recent Developments in Air- and Structure-Borne Sound and Vibration. Auburn University, AL. 1001-1010 . March 4-6, 1992.

[143] H. Nishimura, M. Isobe, and K. Horikawa. "Higher Order Solutions of the Stokes and the Cnoidal Waves". Journal of the Faculty of Engineering. Vol. XXXIV, No. 2. The University of Tokyo. Footnote on page 268. 1977.

[144] G. Mahinthakumar and S.R.H. Hoole. "A Parallelized Element by Element Jacobi Conjugate Gradients Algorithm for Field Problems and a Comparison with Other Schemes". Applied Electromagnetics in Materials. Vol. 1. 15-28. 1990.

[145] T.J.R. Hughes. “Analysis of Transient Algorithms with Particular Reference to Stability Behavior”. Computation Methods for Transient Analysis. Vol. 1. edited by T. Belytschko and K. J. Bathe. North-Holland, Amsterdam. 67-155. 1983.

[146] L. Anand. "Constitutive Equations for the Rate-Dependent Deformation of Metals at Elevated Temperatures". Journal of Engineering Materials and Technology. Vol. 104. 12-17. 1982.

[147] S. B. Brown, K. H. Kim, and L. Anand. "An Internal Variable Constitutive Model for Hot Working of Metals". International Journal of Plasticity. Vol. 5. 95-130. 1989.

[148] John M. Dickens. “Numerical Methods for Dynamic Substructure Analysis”. PH.D. Thesis from University of California, Berkeley. 1980.

[149] M. Gyimesi and J. D. Lavers. "Generalized Potential Formulation for 3-D Magnetostatic Problems". IEEE Transactions on Magnetics. Vol. 28, No. 4. 1992.

[150] W. R. Smythe. Static and Dynamic Electricity. McGraw-Hill Book Co.. New York, NY. 1950.

[151] N. A. Demerdash, T. W. Nehl, F. A. Fouad, and O. A. Mohammed. "Three Dimensional Finite Element Vector Potential Formulation of Magnetic Fields in Electrical Apparatus". IEEE Transactions on Power Apparatus and Systems. Vol. PAS-100, No. 8. 4104-4111. 1981.

[152] G. M. Eggert, P. R. Dawson, and K. K. Mathur. "An Adaptive Descent Method for Nonlinear Viscoplasticity. International Journal for Numerical Methods in Engineering. Vol. 31. 1031-1054. 1991.

[153] K. H. Schweizerhof and P. Wriggers. "Consistent Linearization for Path Following Methods in Nonlinear FE Analysis". Computer Methods in Applied Mechanics and Engineering. Vol. 59. 261-279. 1986.

[154] O. C. Zienkiewicz and I. C. Cormeau. "Visco-plasticity - Plasticity and Creep in Elastic Solids - A Unified Numerical Solution Approach". International Journal for Numerical Methods in Engineering. Vol. 8. 821-845. 1974.

[155] J. C. Simo and R. L. Taylor. "Consistent Tangent Operators for Rate-Independent Elastoplasticity". Computer Methods in Applied Mechanics and Engineering. Vol. 48. 101-118. 1985.

[156] T. J. R. Hughes. "Numerical Implementation of Constitutive Models: Rate-Independent Deviatoric Plasticity". Theoretical Foundation for Large-Scale Computations for Nonlinear Material Behavior. edited by S. Nemat-Nasser, R. J. Asaro, and G. A. Hegemier. Martinus Nijhoff Publishers. Dordrecht, The Netherlands . 1984.

[157] T. J. R. Hughes and E. Carnoy. "Nonlinear Finite Element Shell Formulation Accounting for Large Membrane Strains". Computer Methods in Applied Mechanics and Engineering. Vol. 39. 69-82 . 1983.

[158] J. Nedelec. "Mixed finite elements in R3". Numer. Math., Vol.35. 315-341. 1980.

[159] L. Anand. "Constitutive Equations for Hot-Working of Metals". International Journal of Plasticity. Vol. 1. 213-231. 1985.

[160] M. Abramowitz and I. A. Stegun. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. National Bureau of Standards Applied Mathematics Series 55. p. 966. 1972.

[161] C. G. Swain and M. S. Swain. "A Uniform Random Number Generator That is Reproducible, Hardware-Independent, and Fast". Journal of Chemical Information and Computer Sciences. 56-58. 1980.

[162] Edwin Kreyszig. Advanced Engineering Mathematics. 3rd Edition. John Wiley & Sons, Inc.. 1972.

[163] Paul G. Hoel. Introduction to Mathematical Statistics. 3rd Edition. Johnn Wiley & Sons, Inc.. p. 196. 1962.

[164] Neter, et al. Applied Statistics. Allyn and Bacon, Inc.. Boston, MA. 1978.

[165] T. J. R. Hughes. The Finite Element Method Linear Static and Dynamic Finite Element Analysis. Prentice-Hall, Inc.. Englewood Cliffs, NJ . 1987.

[166] E. L. Wilson and Tetsuji Itoh. "An Eigensolution Strategy for Large Systems". Computers and Structures. Vol. 16, No. 1-4. 259-265. 1983.

[167] T. Yokoyama. "Vibrations of a Hanging Timoshenko Beam Under Gravity". Journal of Sound and Vibration. Vol. 141, No. 2. 245-258. 1990.

[168] J. L. Coulomb. "A Methodology for the Determination of Global Electromechanical Quantities from a Finite Element Analysis and its Application to the Evaluation of Magnetic Forces, Torques and Stiffness". IEEE Transactions on Magnetics. Vol. MAG-19, No. 6. 1983. 2514-2519.

[169] O. C. Zienkiewicz, C. Emson, and P. Bettess. "A Novel Boundary Infinite Element". International Journal for Numerical Methods in Engineering. Vol. 19. 393-404. 1983.

[170] F. Damjanic and D. R. J. Owen. "Mapped Infinite Elements in Transient Thermal Analysis". Computers and Structures. Vol. 19, No. 4. 673-687. 1984.

[171] J. M. M. C. Marques and D. R. J. Owen. "Infinite Elements in Quasi-Static Materially Nonlinear Problems". Computers and Structures. Vol. 18, No. 4. 739-751. 1984.

[172] John Lysmer and R. L. Kuhlemeyer. "Finite Dynamic Model for Infinite Media". Journal of the Engineering Mechanics Division, Proc. ASCE. Vol. 95, No. EM4. 859-877. 1969.

[173] Hui Li, Sunil Saigal, Ashraf Ali, and Timothy P. Pawlak. "Mapped Infinite Elements for 3-D Vector Potential Magnetic Problems". International Journal for Numerical Methods in Engineering. Vol. 37. 343-356. 1994.

[174] M. Gyimesi, J. Lavers, T. Pawlak, and D. Ostergaard. "Biot-Savart Integration for Bars and Arcs". IEEE Transactions on Magnetics. Vol. 29, No. 6. 2389-2391. 1993.

[175] M.A. Crisfield. “A fast and incremental/iterative solution procedure that handles snap-through”. Computers & Structures. Vol. 13. 55–62. 1981.

[176] B. Nour-Omid and C. C. Rankin. "Finite Rotation Analysis and Consistent Linearization Using Projectors". Computer Methods in Applied Mechanics and Engineering. Vol. 93. 353-384 . 1991.

[177] C.R.I. Emson and J. Simkin. "An Optimal Method for 3-D Eddy Currents". IEEE Transactions on Magnetics. Vol. MAG-19, No. 6. 2450-2452. 1983.

[178] P.L. Viollet. "The Modelling of Turbulent Recirculating Flows for the Purpose of Reactor Thermal-Hydraulic Analysis". Nuclear Engineering and Design. 99. 365-377. 1987.

[179] B.E. Launder and D.B. Spalding. "The Numerical Computation of Turbulent Flows". Computer Methods In Applied Mechanics and Engineering. Vol. 3. pp 269-289. 1974.

[180] J.G. Rice and R.J. Schnipke. "A Monotone Streamline Upwind Finite Element Method for Convection-Dominated Flows". Computer Methods in Applied Mechanics and Engineering. Vol. 48. pp.313-327. 1985.

[181] F.H. Harlow and A.A. Amsden. "A Numerical Fluid Dynamics Calculation Method for All Flow Speeds". Journal of Computational Physics. Vol 8. 1971.

[182] F.M. White. Viscous Fluid Flow. Second Edition. McGraw-Hill. New York. 1991.

[183] S.V. Patankar. Numerical Heat Transfer and Fluid Flow. Hemisphere, New York. 1980.

[184] Magnus R. Hestenes and Eduard Stiefel. "Methods of Conjugate Gradients for Solving Linear System". Journal of Research of the National Bureau of Standards. Vol. 49, No.6. 1952.

[185] J.K. Reid. "On the Method of Conjugate Gradients for the Solution of Large Sparse Sets of linear Euqations". Proceedings of the Conference on Large Sparse Sets of Linear Equations. edited by J.K. Reid. Academic Press. 231-254. 1971.

[186] H.C. Elman. "Preconditioned Conjugate-Gradient Methods for Nonsymmetric Systems of Linear Equations". Advances In Computer Methods For Partial Differential Equations IV. edited by Vichnevetsky, R., Stepleman. IMACS. 409-413. 1981.

[187] J.J. More and S.J. Wright. Optimization Software Guide. SIAM. Philadelphia. p. 13. 1993.

[188] R.W. Bilger. "A Note on Favre Averaging in Variable Density Flows". Combustion Science and Technology. Vol. 11. 215-217. 1975.

[189] M. C. McCalla. Fundamentals of Computer-Aided Circuit Simulation. Kluwer Academic. 1988.

[190] P.A. Vermeer and A. Verrujit. "An Accuracy Condition for Consolidation by Finite Elements". International Journal for Numerical and Analytical Methods in Geomechanics. Vol. 5. 1-14. 1981.

[191] Stephen W. Tsai and H. Thomas Hahn. Introduction to Composite Materials. Section 7.2. Technomic Publishing Company. 1980.

[192] G.E.P. Box, W.G. Hunter, and J.S. Hunter. Statistics for Experimenters. Chapter 10. John Wiley & Sons. 1978.

[193] Barna Szabo and Ivo Babuska. Finite Element Analysis. John Wiley & Sons. 1991.

[194] M.T. Chen. A. Ali. “An Efficient and Robust Integration Technique for Applied Random Vibration Analysis”. Computers and Structures. Vol. 66 No. 6. 785–798. 1998.

[195] R.S. Harichandran. Random Vibration Under Propagating Excitation: Closed-Form Solutions. Journal of Engineering Mechanics ASCE. Vol. 118, No. 3. 575-586. 1992.

[196] R.G. Grimes, J.G. Lewis, and H.D. Simon. “A Shifted Block Lanczos Algorithm for Solving Sparse Symmetric Generalized Eigenproblems”. SIAM Journal Matrix Analysis Applications. Vol. 15 No. 1. 228-272 . 1996.

[197] C. Rajakumar and C.R. Rogers. “The Lanczos Algorithm Applied to Unsymmetric Generalized Eigenvalue Problems”. International Journal for Numercial Method in Engineering. Vol. 32. 1009-1026. 1991.

[198] D.K. Gartling. "Finite Element Methods for Non-Newtonian Flows". report SAND92-0886, CFD Dept.,. Sandia National Laboratories. Albuquerque, NM. 1992.

[199] M.J. Crochet, A.R. Davies, and K. Walters. Numerical Simulation of Non-Newtonian Flow. Elsevier Science Publishers B.V.. 1984.

[200] John O. Hallquist. LS-DYNA Theoretical Manual. Livermore Software Technology Corporation. 1998.

[201] O. Biro, K. Preis, C. Magele, W. Renhart, K.R. Richter, and G. Vrist. "Numerical Analysis of 3D Magnetostatic Fields". IEEE Transaction on Magnetics. Vol. 27, No. 5. 3798-3803. 1991.

[202] M. Gyimesi and D Ostergaard. "Non-Conforming Hexahedral Edge Elements for Magnetic Analysis". ANSYS, Inc. internal development, submitted to COMPUMAG. Rio. 1997.

[203] Gyimesi, M. and Lavers, D., "Application of General Potential Formulation to Finite Elements", Second Japan Hungarian Joint Seminar on Electromagnetics, Sapporo, Japan 1992. Applied Electromagnetics in Materials and Computational Technology, ed. T. Honma, I. Sebestyen, T. Shibata. Hokkaido University Press. 1992.

[204] K. Preis, I. Bardi, O. Biro, C. Magele, Vrisk G., and K. R. Richter. "Different Finite Element Formulations of 3-D Magnetostatic Fields". IEEE Transactions on Magnetics. Vol. 28, No. 2. 1056-1059. 1992.

[205] J.C. Nedelec. "Mixed Finite Elements in R3". Numerical Methods. Vol. 35. 315-341. 1980.

[206] J.S. Van Welij. "Calculation of Eddy Currents in Terms of H on Hexahedra". IEEE Transactions on Magnetics. Vol. 18. 431-435. 1982.

[207] A. Kameari. "Calculation of Transient 3D Eddy Current Using Edge Elements". IEEE Transactions on Magnetics. Vol. 26. 466-469. 1990.

[208] J. Jin. The Finite Element Method in Electromagnetics. John Wiley and Sons, Inc.. New York. 1993.

[209] H. Whitney. Geometric Integration Theory. Princeton U. P.. Princeton. 1957.

[210] J.A. Stratton. Electromagnetic Theory. Section 1.14. McGraw-Hill. New York. 1941.

[211] K.M. Mitzner. "An Integral Equation Approach to Scattering From a Body of Finite Conductivity". Radio Science. Vol. 2. 1459-1470. 1967.

[212] R. Mittra and O. Ramahi. "Absorbing Boundary Conditions for the Direct Solution of Partial Differential Equations Arising in Electromagnetic Scattering Problems". Finite Element Finite Difference Methods in Electromagnetic Scattering. Vol. II. 133-173. 1989.

[213] D. Peric and D.R.J. Owen. "Computational Model for 3-D Contact Problems with Friction Based on the Penalty Method". International Journal for Numercial Method in Engineering. Vol. 35. 1289-1309. 1992.

[214] S. Cescotto and R. Charilier. "Frictional Contact Finite Elements Based on Mixed Variational Principles". International Journal for Numercial Method in Engineering. Vol. 36. 1681-1701. 1992.

[215] S. Cescotto and Y.Y. Zhu. "Large Strain Dynamic Analysis Using Solid and Contact Finite Elements Based on a Mixed Formulation - Application to Metalforming". Journal of Metals Processing Technology. Vol. 45. 657-663. 1994.

[216] J.C. Simo and T.A. Laursen. "An Augmented Lagrangian Treatment of Contact Problems Involving Friction". Computers and Structures. Vol. 42, No. 1. 97-116. 1992.

[217] T.A. Laursen and J.C. Simo. "Algorithmic Symmetrization of Coulomb Frictional Problems Using Augmented Lagrangians". Computers Methods in Applied Mechanics and Engineering. Vol. 108, No. 1 & 2. 133-146. 1993.

[218] A. Barry, J. Bielak, and R.C. MacCamy. "On absorbing boundary conditions for wave propagations". Journal of Computational Physics. Vol. 792. 449-468 . 1988.

[219] L.F. Kallivokas, J. Bielak, and R.C. MacCamy. "Symmetric Local Absorbing Boundaries in Time and Space". Journal of Engineering Mechanics. Vol. 1179. 2027-2048. 1991.

[220] T.J.R. Hughes. "Generalization of Selective Integration Procedures to Anisotropic and Nonlinear Media". International Journal for Numerical Methods in Engineering. Vol. 15, No. 9. 1413-1418. 1980.

[221] J.C. Nagtegaal, D.M. Parks, and J.R. Rice. "On Numerically Accurate Finite Element Solutions in the Fully Plastic Range". Computer Methods in Applied Mechanics and Engineering. Vol. 4. 153-178. 1974.

[222] Miklos Gyimesi and Dale Ostergaard. "Mixed Shape Non-Conforming Edge Elements". CEFC '98. Tucson, AZ. 1998.

[223] Dale Ostergaard and Miklos Gyimesi. "Analysis of Benchmark Problem TEAM20 with Various Formulations". Proceedings of the TEAM Workshop, COMPUMAG Rio. 18-20 . 1997.

[224] Dale Ostergaard and Miklos Gyimesi. "Magnetic Corner: Accurate Force Computations". Analysis Solutions. Vol 1, Issue 2. 10-11. 1997-98.

[225] A.N. Brooks and T.J.R. Hughes. "Streamline Upwind/Petro-Galkerin Formulation for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equations". Computer Methods in Applied Mechanics and Engineering. Vol. 32. 199-259 . 1982.

[226] N.A. Demerdash and A.A. Arkadan. "Notes on FEM Modeling of Permanent Magnets in Electrical Devices". FEM for Electromagnetic Applications. Section 3. p.26-7, 17, 19. 1981.

[227] N.A. Demerdash and T.W. Nehl. "Determination of Inductances in Ferrite Type Magnet Electric Machinery by FEM". IEEE Trans. on MAG. Vol.18. pp.1052-54. 1982.

[228] T.W. Nehl, F.A. Faud, and N.A. Demerdash. "Determination of Saturated Values of Rotation Machinery Incremental and Apparent Inductances by an Energy Perturbation Method". IEEE Trans. on PAS. Vol.101. pp.4441-51 . 1982.

[229] Miklos Gyimesi, Vladimir Zhulin, and Dale Ostergaard. "Particle Trajectory Tracing in ANSYS". Fifth International Conference on Charged Particle Optics, Delft University, Netherlands. To be Published in Nuclear Instruments and Methods in Physics Research, Section A. 1998.

[230] Miklos Gyimesi and Ostergaard. Dale. "Inductance Computation by Incremental Finite Element Analysis". CEFC 98. Tucson, Arizona. 1998.

[231] “Computer-Aided Generation of Nonlinear Reduced-Order Dynamic Macromodels - I: Non-Stress-Stiffened Case”. Journal of Microelectromechanical Systems. S. 262–269. June 2000.

[232] N.A. Demerdash and D.H. Gillott. "A New Approach for Determination of Eddy Currents and Flux Penetration in Nonlinear Ferromagnetic Materials". IEEE Trans. on Magnetics. Vol. 10. 682-685. 1974.

[233] D.P. Flanagan and T. Belytschko. "A Uniform Strain Hexahedron and Quadrilateral with Orthogonal Hourglass Control". International Journal for Numerical Methods in Engineering. Vol. 17. 679-706. 1981.

[234] F. Vogel. "Topological Optimization of Linear-Elastic Structures with ANSYS 5.4.". NAFEMS Conference on Topological Optimization. 1997.

[235] H.P. Mlejnek and R. Schirrmacher. "An Engineer's Approach to Optimal Material Distribution and Shape Finding". Computer Methods in Applied Mechanics and Engineering. Vol. 106. 1-26. 1993.

[236] M.P. Bendsoe and N. Kikucki. "Generating Optimal Topologies in Structural Design Using a Homogenization Method". Computer Methods in Applied Mechanics and Engineering. Vol. 71. 197-224. 1988.

[237] Javier Bonet and Richard D. Wood. Nonlinear Continuum Mechanics for Finite Element Analysis. Cambridge University Press. 1997..

[238] J.C. Simo and L. Vu-Quoc. "A Three Dimensional Finite Strain Rod Model. Part II: Computational Aspects". Computer Methods in Applied Mechanics and Engineering. Vol. 58. 79-116. 1986.

[239] Adnan Ibrahimbegovic. "On Finite Element Implementation of Geometrically Nonlinear Reissner's Beam Theory: Three-dimensional Curved Beam Elements". Computer Methods in Applied Mechanics and Engineering. Vol. 122. 11-26. 1995.

[240] Istvan Vago and Miklos Gyimesi. Electromagnetic Fields. Published by Akademiiai Kiado. Budapest, Hungary. 1998.

[241] S. Flugge. "Electric Fields and Waves". Encyclopedia of Physics. Vol. 16. Springer, Berlin . 1958.

[242] M. Lagally. Vorlesungen uber Vektorrechnung. Geest u. Portig, Peipzip. 1964.

[243] D.P. Flanagan and T. Belytschko. "A Uniform Strain Hexahedron and Quadrilateral with Orthogonal Hourglass Control". International Journal for Numerical Methods in Engineering. Vol. 17. 679-706. 1981.

[244] H.B. Calllen. Thermodynamics and Introduction to Thermostatistics. 2nd Edition. p. 84. Wiley & Sons. New York, NY. 1985.

[245] J.L. Chaboche. "Constitutive Equations for Cyclic Plasticity and Cyclic Viscoplasticity". International Journal of Plasticity. Vol. 5. 247-302. 1989.

[246] J.L. Chaboche. "On Some Modifications of Kinematic Hardening to Improve the Description of Ratcheting Effects". International Journal of Plasticity. Vol. 7. 661-678. 1991.

[247] Timoshenko. Theory of Elastic Stability. McGraw Hill Book Company. 1961.

[248] M. Schulz and F. C. Fillippou. "Generalized Warping Torsion Formulation". Journal of Engineering Mechanics. 339-347. 1998.

[249] M. Gyimesi and D. Ostergaard. "Electro-Mechanical Capacitor Element for MEMS Analysis in ANSYS". Proceedings of Modelling and Simulation of Microsystems Conference. 270 . Puerto Rico. 1999.

[250] M. Schulz and F. C. Fillippou. "Capacitance Computation with Ammeter Element". University of Toronto, Department of Electrical Engineering, Unpublished Report available upon request from ANSYS, Inc.. , 1993.

[251] J. Mehner and S.D. Senturia. “Computer-Aided Generation of Nonlinear Reduced-Order Dynamic Macromodels - II: Stress-Stiffened Case”. Journal of Microelectromechanical Systems,. S. 270–279. June 2000.

[252] Hieke, A., Siemens and IBM. "ANSYS APDL for Capacitance". Proceedings from `Second International Conference on Modeling and Simulation of Microsystems, Semiconductors, Sensors and Actuators'. 172. San Juan, Puerto Rico. 1999.

[253] J.C. Simo and T.J.R. Hughes. Computational Inelasticity. Springer-Verlag. 1997.

[254] E. Voce. Metallurgica. Col. 51, 219 . 1955.

[255] W.H. Press. Numerical Recipes in C: The Art of Scienfitic Computing. Cambridge University Press. 1993.

[256] M. Gyimesi, D. Lavers, D Ostergaard, and T. Pawlak. "Hybrid Finite Element - Trefftz Method for Open Boundary Anslysis". COMPUMAG, Berlin 1995, IEEE Transactions on Magnetics, Vol. 32, No. 3, 671-674 1996.

[257] M. Gyimesi and D. Lavers. "Application of the Trefftz Method to Exterior Problems". University of Toronto, Department of Electrical Engineering, unpublished report. Available upon request from ANSYS, Inc.. 1992.

[258] M. Gyimesi and D. Lavers. "Application of the Trefftz Method to Exterior Problems". University of Toronto, Department of Electrical Engineering, unpublished report. Available upon request from ANSYS, Inc.. 1993.

[259] M. Gyimesi and D. Lavers. "Implementation to the Exterior Trefftz Element". University of Toronto, Department of Electrical Engineering, unpublished report. Available upon request from ANSYS, Inc.. , 1993.

[260] E. Trefftz. "Ein Gegenstuck zum Ritz'schen Verfahren". Proceedings of the Second International Congress on Applied Mechanics. Zurich. 1926.

[261] E. Trefftz. "Mechanik det elastischen Korper". In Vol. VI of Handbuch der Physik, Berlin 1928. Translated from Matematicheskais teoriia Uprognosti, L. GTTI 1934.

[262] I. Herrera. "Trefftz Method". in progress, Boundary Element Methods, Vol. 3. Wiley, New York . 1983.

[263] O.C. Zienkiewicz. "The Generalized Finite Element Method and Electromagnetic Problems". COMPUMAG Conference. 1978.

[264] A.P. Zielinski and O.C. Zienkiewicz. "Generalized Finite Element Analysis with T-Complete Boundary Solution Function". International Journal for Numerical Methods in Engineering. Vol. 21. 509-528. 1985.

[265] O.C. Zienkiewicz, D.W. Kelly, and P Bettess. "The Coupling of the Finite Element Method and Boundary Solution Procedures". International Journal for Numerical Methods in Engineering. Vol. 11. 355-375. 1977.

[266] O.C. Zienkiewicz, D.W. Kelly, and P. Bettess. "Marriage a la mode - The Best of Both Worlds Finite Element and Boundary Integrals". Energy Methods in Finite Element Analysis. John Wiley. New York. 1979.

[267] J. Jirousek and L. Guex. "The Hybrid-Trefftz Finite Element Model and its Application to Plate Bending". International Journal for Numerical Methods in Engineering. Vol. 23. 651-693. 1986.

[268] I.D. Mayergoyz, M.V.C. Chari, and A. Konrad. "Boundary Galerkin's Method for Three-Dimensional Finite Element Electromagnetic Field Computation". IEEE Transactions on Magnetics. Vol. 19, No. 6. 2333-2336. 1983.

[269] M.V.K. Chari. "Electromagnetic Field Computation of Open Boundary Problems by Semi-Analytic Approach". IEEE Transactions on Magnetics. Vol. 23, No. 5. 3566-3568. 1987.

[270] M.V.K. Chari and G. Bedrosian. "Hybrid Harmonic/Finite element Method for Two-Dimensional Open Boundary Problems". IEEE Transactions on Magnetics. Vol. 23, No. 5. 3572-3574. 1987.

[271] E.M. Arruda and M.C. Boyce. "A Three-dimensional Constitutive Model for the Large STretch Behavior of Rubber Elastic Materials”. Journal of the Mechanics and Physics of Solids. Vol. 41 2. 389-412. 1993.

[272] J.S. Bergstrom. "Constitutive Modeling of the Large Strain Time-dependent Behavior of Elastomers". Journal of the Mechanics and Physics of Solids. Vol. 45 5. 931-954. 1998.

[273] M.W. Glass. "Chaparral - A library package for solving large enclosure radiation heat transfer problems". Sandia National Laboratories. Albuquerque, NM. 1995.

[274] A.R. Diaz and N. Kikucki. "Solutions to Shape and Topology Eigenvalue Optimization Problems using a Homogenization Method". International Journal for Numerical Methods in Engineering. Vol. 35. pp 1487-1502. 1992.

[275] P. Ladeveze and D. Leguillon. "Error estimation procedure in the finite element method and applications". SIAM Journal of Numerical Analysis. Vol. 20 3. 483-509. 1983.

[276] J.L. Synge. The Hypercircle in Mathematical Physics. Cambridge University Press. 1957.

[277] M.F. Cohen and D.P. Greenberg. "The Hemi-Cube: A Radiosity Solution for Complex Environments". Computer Graphics. Vol. 19, No. 3. 31-40. 1985.

[278] M.L. Williams, R.F. Landel, and J.D. Ferry. "The Temperature Dependence of Relaxation Mechanisms in Amorphous Polymers and Other Glass-forming Liquids". Journal of the American Chemical Society. Vol. 77. 3701-3706. 1955.

[279] A. Huerta and W.K. Liu. "Viscous Flow with Large Free Surface Motion". Computer Methods in Applied Mechanics and Engineering. Vol. 69. 277-324. 1988.

[280] W. Weaver and P.R. Johnston. Structural Dynamics by Finite Elements. 413-415. Prentice-Hall. 1987.

[281] Y.Y. Zhu and S. Cescotto. "Transient Thermal and Thermomechanical Analysis by Mixed FEM". Computers and Structures. Vol. 53. 275-304. 1994.

[282] J.U. Brackbill, D.B. Kothe, and C. Zemach. "A Continuum Method for Modeling Surface Tension". Journal of Computational Physics. Vol. 100. 335-354 . 1992.

[283] D.B. Kothe and R.C. Mjolsness. "RIPPLE: A New Model for Incompressible Flows with Free Surfaces". AIAA Journal. Vol. 30. 2694-2700. 1992.

[284] J.R. Richards, A.M. Lenhoff, and A.N. Beris. "Dynamic Breakup of Liquid-Liquid Jets". Physics of Fluids. Vol. 8. 2640-2655. 1994.

[285] G.P. Sasmal and J.I. Hochstein. "Marangoni Convection with a Curved and Deforming Free Surface in a Cavity". Transaction of ASME, Journal of Fluid Engineering. Vol. 116. 577-582. 1994.

[286] G. Wang. "Finite Element Simulations of Gas-Liquid Flows with Surface Tension". Presented at the 2000 International Mechanical Engineering Congress and Exposition. Orlando, FL. 11/2000.

[287] M. Gyimesi and D. Ostergaard. "Finite Element Based Reduced Order Modeling of Micro Electro Mechanical Sytems MEMS". Presented at MSM 2000. San Diego, CA . 3/2000.

[288] D. Ostergaard, M. Gyimesi, Bachar Affour, Philippe Nachtergaele, and Stevan Stirkovich. "Efficient Reduced Order Modeling for System Simulation of Micro Electro Mechanical Systems MEMS from FEM Models". Symposium on Design Test Integration and Packaging of MEMS/MOEMS. Paris, France. 5/2000.

[289] M. Gyimesi, Jian-She, Wang, and D. Ostergaard. "Capacitance Computation by Hybrid P-Element and Trefftz Method". Presented at CEFC 2000, Milwaukee, WI 6/2000 and published in IEEE Trans. MAG, Vol. 37, 3680–83 9/2001.

[290] M. Gyimesi and D. Ostergaard. "Capacitance Computation by Hybrid P-Element and Trefftz Method". Presented at MSM 2000. San Diego, CA . 3/2000.

[291] M. Gyimesi and D. Ostergaard. "Incremental Magnetic Inductance Computation". ANSYS Conference and Exhibition. Pittsburgh, PA. 1998.

[292] Andreas Hieke. "Tiny Devices, Big Problems: Computation of Capacitance in Microelectronic Structures". ANSYS Solutions. Vol. 2, No. 3. 11-15. 2000.

[293] M.S. Gadala and J. Wang. "Simulation of Metal Forming Processes with Finite Element Methods". International Journal for Numerical Methods in Engineering. Vol. 44. 1397-1428. 1999.

[294] R.M. McMeeking and J.R. Rice. "Finite Element Formulations for Problems of Large Elastic-Plastic Deformation". International Journal of Solids and Structures. Vol. 121. 601-616. 1975.

[295] M.A. Crisfield. Non-linear Finite Element Analysis of Solids and Structures. Vol. 2, Advanced Topics. John Wiley & Sons. 1997.

[296] R. W. Ogden. Nonlinear Elastic Deformations. Dover Publications, Inc.. 1984.

[297] P. Perzyna. Fundamental problems in viscoplasticity. Advances in Applied Mechanics. Vol. 9. 313-377. Academic Press. New York. 1968.

[298] D. Peirce, C.F. Shih, and A. Needleman. “A tangent modulus method for rate dependent solids”. Computers & Structures. Vol. 18. 975–888. 1984.

[299] D. Peirce and D.R.J. Owen. A model for large deformations of elasto-viscoplastic solids at finite strains: computational issues, Finite Inelastic Deformations: Theory and applications, Springer-Verlag, Berlin 1992.

[300] J.L. Volakis, A. Chatterjee, and C. Kempel L.. Finite Element Method for Electromagnetics: Antennas, Microwave Circuits and Scattering Applications. IEEE Press. 1998.

[301] T. Itoh, G. Pelosi, and P.P. Silvester. Finite Element Software for Microwave Engineering. John Wiley & Sons, Inc. 1996.

[302] L. Zhao and A.C. Cangellaris. "GT-PML: Generalized Theory of Perfectly Matched Layers and Its Application to the Reflectionless Truncation of Finite-Difference Time-Domain Grids". IEEE Trans. on Microwave Theory and Techniques. Vol. 44. 2555-2563.

[303] Alan George and Joseph W-H Liu. Computer Solution of Large Sparse Positive Definite Systems. Prentice-Hall, Inc.. 1981.

[304] M. Abramowitz and I. A. Stegun. Pocketbook of Mathematical Functions, abridged version of the Handbook of Mathematical Functions. Harry Deutsch, 1984.

[305] A. H-S Ang and W. H. Tang. Probability Concepts in Engineering Planning and Design. Volume 1 - Basic Principles. John Wiley & Sons. 1975.

[306] A. H-S Ang and W. H. Tang. Probability Concepts in Engineering Planning and Design, D.. Volume 2 - Decision, Risk, and Reliability. John Wiley & Sons. 1990.

[307] G. E. P. Box. D. W. Behnken. Some New Three Level Designs for the Study of Quantitative Variables. Vol. 2, No. 4. 455-476. Technometrics. 1960.

[308] G. E. P. Box and D. R. Cox. “An Analysis of Transformations”. Journal of the Royal Statistical Society. Series B, Vol. 26. 211-252. 1964.

[309] J. M. Hammersley and D. C. Handscomb. Monte Carlo Methods,. John Wiley & Sons. New York. 1964.

[310] R.L. Iman and W. J. Conover. “Small Sample Sensitivity Analysis Techniques for Computer Models, with an Application to Risk Assessment”. Communications in Statistics, Part A - Theory and Methods. Vol A9, No. 17. 1749-1842. 1980.

[311] D. Kececioglu. Reliability Engineering Handbook. Vol. 1. Prentice-Hall Inc.. Englewood Cliffs, New Jersey. 1991.

[312] P.-L. Liu and A. Der Kiureghian. “Multivariate Distribution Models with Prescribed Marginals and Covariances”. Probabilistic Engineering Mechanics. Vol. 1, No. 2. 105-112. 1986.

[313] D. C. Montgomery. Design and Analysis of Experiments. John Wiley & Sons. New York. 1991.

[314] R. C. Myers. Response Surface Methodology. Allyn and Bacon, Inc.. Boston. 1971.

[315] J. Neter, M. H. Kutner, C. J. Nachtsheim, and W. Wasserman. Applied Linear Statistical Models. 4th edition. McGraw-Hill. 1996.

[316] D. J. Sheskin. Handbook of Parametric and Nonparametric Statistical Procedures. CRC Press Inc.. Florida. 1997.

[317] D.A. Hancq, A.J. Walter, and J.L. Beuth. “Development of an Object-Oriented Fatigue Tool”. Engineering with Computers. Vol. 16. 131-144. 2000.

[318] David J. Benson and John O. Hallquist. “A Single Surface Contact Algorithm for the Post-Buckling Analysis of Shell Structures”. Computer Methods in Applied Mechanics and Engineering. Vol. 78, No. 2. 1990.

[319] J.C. Simo and M.S. Rifai. “A Class of Mixed Assumed Strain Methods and the Method of Incompatible Modes”. International Journal for Numerical Methods in Engineering. Vol. 29. 1595–1638 . 1990.

[320] J.C. Simo and F. Armero. “Gometrically Non-linear Enhanced Strain Mixed Methods and the Method of Incompatible Modes”. International Journal for Numerical Methods in Engineering. Vol. 33. 1413–1449. 1992.

[321] J.C. Simo, F. Armero, and R.L. Taylor. “Improved Versions of Assumed Enhanced Strain Tri-Linear Elements for 3D Finite Deformation Problems”. Computer Methods in Applied Mechanics and Engieering. Vol. 10. 359–386. 1993.

[322] U. Andelfinger and E Ramm. “EAS-Elements for Two-Dimensional, Three-Dimensional, Plate and Shell Structures and Their Equivalence to HR-Elements”. International Journal for Numerical Methods in Engineering. Vol. 36. 1311–1337. 1993.

[323] J.C. Nagtegaal and D.D. Fox. “Using Assumed Enhanced Strain Elements for Large Compressive Deformation”. International Journal for Solids and Structures. Vol. 33. 3151–3159. 1996.

[324] Jian S. Wang and Dale F. Ostergaard. “Finite Element-Electric Circuit Coupled Simulation Method for Piezoelectric Transducer”. Proceedings of the IEEE Ultrasonics Symposium. Vol. 2. 1105–1108. 1999.

[325] A.C. Pipkin. "Lectures in Viscoelasticity Theory". Springer, New York. 1986.

[326] D.A. Drozdov. Finite elasticity and viscoelasticity: A course in the nonlinear mechanics of solids. World Pub. Co.. Singapore. 1996.

[327] G.W. Scherer. Relaxation in glass and composites. John-Wiley & Sons. New York. 1986.

[328] J.C. Simo. "On fully three-dimensional finite strain viscoelastic damage model: Formulation and computational aspects". Comput. Meth. In Appl. Mech. Eng.. Vol. 60. 153-173. 1987.

[329] G.A. Holzapfel. "On large strain viscoelasticity: continuum formulation and finite element applications to elastomeric structures". Int. J. Numer. Meth. Eng.. Vol. 39. 3903-3926. 1996.

[330] M. Gyimesi, D. Ostergaard, and I. Avdeev. "Triangle Transducer for Micro Electro Mechanical Systems MEMS Simulation in ANSYS Finite Element Program". MSM. Puerto Rico. 2002.

[331] M. Gyimesi and D. Ostergaard. "A Transducer Finite Element for Dynamic Coupled Electrostatic-Structural Coupling Simulation of MEMS Devices". MIT Conference. Cambridge, MA. 2001.

[332] I. Avdeev, M. Gyimesi, M. Lovell, and D. Onipede. "Beam Modeling for Simulation of Electro Mechanical Transducers Using Strong Coupling Approach". Sixth US. National Congress on Computational Mechanics. Dearborn, Michigan . 2001.

[333] W. F. Chen and D. J. Han. Plasticity for Structural Engineers. Springer-Verlag. New York. 1988.

[334] P. Guillaume. “Derivees d'ordre superieur en conception optimale de forme”. These de l'universite Paul Sabatier de Toulouse. 1994.

[335] H. E. Hjelm. "Yield Surface for Gray Cast iron under Biaxial Stress". Journal of Engineering Materials and Technology. Vol. 116. 148-154. 1994.

[336] J. Mehner, F. Bennini, and W. Dotzel. “Computational Methods for Reduced Order Modeling of Coupled Domain Simulations”. 260–263. 11th International Conference on Solid-State Sensors and Actutors Transducers 01. Munich, Germany. 2001.

[337] J. Mehner and F. Bennini. “A Modal Decomposition Technique for Fast Harmonic and Transient Simulations of MEMS”. 477–484. International MEMS Workshop 2001 IMEMS. Singapore. 2001.

[338] J. J. Blech. “On Isothermal Squeeze Films”. Journal of Lubrication Technology. Vol.105. 615-620. 1983.

[339] Griffin, W. S., et al. “A Study of Squeeze-film Damping”. Journal of Basic Engineering. 451-456. 1966.

[340] W. E. Langlois. “Isothermal Squeeze Films”. Quarterly Applied Mathematics. Vol. 20, No. 2. 131-150. 1962.

[341] Mehner, J. E., et al. “Simulation of Gas Film Damping on Microstructures with Nontrivial Geometries”. Proc. of the MEMS Conference. Heidelberg, Germany. 1998.

[342] not used.

[343] T. Veijola. “Equivalent Circuit Models for Micromechanical Inertial Sensors”. ircuit Theory Laboratory Report Series CT-39. Helsinki University of Technology. 1999.

[344] F. Sharipov. “Rarefied Gas Flow Through a Long Rectangular Channel”. Journal Vac. Sci. Technol.. A175. 3062-3066. 1999.

[345] R. R. Craig. “A Review of Time Domain and Frequency Domain Component Mode Synthesis Methods”. International Journal of Analytical and Experimental Modal Analysis. Vol. , No. 2. 59-72. 1987.

[346] R. R. Craig and M. D. D. Bampton. “Coupling of Substructures for Dynamic Analysis”. AIAA Journal. Vol. 12. 1313-1319. 1968.

[347] M. Gyimesi, I. Avdeev, and D. Ostergaard. “Finite Element Simulation of Micro Electro Mechanical Systems MEMS by Strongly Coupled Electro Mechanical Transducers”. IEEE Transactions on Magnetics. Vol. 40, No. 2. pg. 557–560. 2004.

[348] F., Auricchio, R. L., Taylor, and J. Lubliner. “Shape-Memory Alloys: Macromodeling and Numerical Simulations of the Superelastic Behavior”. Computational Methods in Applied Mechanical Engineering. Vol. 146. 281–312. 1997.

[349] T. Belytschko, W. K. Liu, and B. Moran. “Nonlinear Finite Elements for Continua and Structures”. Computational Methods in Applied Mechanical Engineering. John Wiley and Sons. 2000.

[350] David C. Wilcox. “Reassessment of the Scale-Determining Equation for Advanced Turbulence Models”. AIAA Journal. Vol. 26. 1299–1310. 1988.

[351] F. R. Menter. “Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications”. AIAA Journal. Vol. 32. 1598–1605. 1994.

[352] J. Chung and G. M. Hulbert. “A Time Integration Algorithm for Structural Dynamics with Improved Numerical Dissipation: The Generalized-α Method”. Journal of Applied Mechanics. Vol. 60. 371. 1993.

[353] H. M. Hilber, T. J. R. Hughes, and R. L. Taylor. “Improved Numerical Dissipation for Time Integration Algorithm in Structural Dynamics”. Earthquake Engineering and Structural Dynamics. Vol. 5. 283. 1977.

[354] W. L. Wood, M. Bossak, and O. C. Zienkiewicz. “An Alpha Modification of Newmark Method”. International Journal of Numerical Method in Engineering. Vol.15. p1562. 1981.

[355] D.J.; Segalman, C.W.G.; Fulcher, G.M.; Reese, and R.V., Jr. Field. “An Efficient Method for Calculating RMS von Mises Stress in a Random Vibration Environment”. 117-123. Proceedings of the 16th International Modal Analysis Conference. Santa Barbara, CA. 1998.

[356] G.M., Reese, R.V. Field Jr., and D.J. Segalman. “A Tutorial on Design Analysis Using von Mises Stress in Random Vibration Environments”. The Shock and Vibration Digest. Vol. 32, No. 6. 466-474 . 2000.

[357] Alan J. Chapman. Heat Transfer. 4th Edition. Macmillan Publishing Company. 1984.

[358] J.H. Wilkinson and C. Reinsch. “Linear Algebra”. Handbook for Automatic Computation. Vol. II. 418–439. Springer-Verlag. New York, NY. 1971.

[359] L.D. Landau and E.M. Lifshitz. “Electrodynamics of Continuous Media”. Course of Theoretical Physics. Vol. 8. 2nd Edition. Butterworth-Heinemann. Oxford. 1984.

[360] J. F. Nye. Physical Properties of Crystals: Their Representation by Tensors and Matrices. Clarendon Press. Oxford. 1957.

[361] J.D. Beley, C. Broudiscou, P. Guillaume, M. Masmoudi, and F. Thevenon. “Application de la methode des derivees d'ordre eleve a l'optimisation des structures”. Revue Europeenne des Elements Finis. Vol. 5, No. 5-6. 537-567. 1996.

[362] R. Michalowski. Z. Mroz. “Associated and non-associated sliding rules in contact friction problems”. Archives of Mechanics. Vol. 30, No. 3. 259-276. 1978.

[363] H.D. Nelson and J.M. McVaugh. “The Dynamics of Rotor-Bearing Systems Using Finite Elements”. Journal of Engineering for Industry. 1976.

[364] X-P Xu and A. Needleman. “Numerical simulations of fast crack growth in brittle solids”. Journal of the Mechanics and Physics of Solids. Vol. 42. 1397-1434. 1994.

[365] D. Guo, F.L. Chu, and Z.C. Zheng. “The Influence of Rotation on Vibration of a Thick Cylindrical Shell”. Journal of Sound and Vibration. Vol. 242 3. 492. 2001.

[366] G. Alfano and M.A. Crisfield. “Finite Element Interface Models for the Delamination Anaylsis of Laminated Composites: Mechanical and Computational Issues”. International Journal for Numerical Methods in Engineering. Vol. 50. 1701-1736. 2001.

[367] A.L. Gurson. “Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I-Yield Criterion and Flow Rules for Porous Ductile Media”. Journal of Engineering Materials and Technology. Vol. 1. 2-15. 1977.

[368] A. Needleman and V. Tvergaard. “An Analysis of Ductile Rupture in Notched Bars”. Journal of Mechanical Physics Solids. Vol. 32, No. 6. 461-490. 1984.

[369] M. Geradin and D. Rixen. Mechanical Vibrations: Theory and Application to Structural Dynamics. 194. John Wiley and Sons, Inc.. 1997.

[370] K.J. Bathe and C. A. Almeida. “A Simple and Effective Pipe Elbow Element – Linear Analysis”. Journal of Applied Mechanics. Vol. 47, No. 1. 93-100. 1980.

[371] A. M. Yan, R. J. Jospin, and D. H. Nguyen. “An Enhanced Pipe Elbow Element – Application in Plastic Limit Analysis of Pipe Structures”. International Journal for Numerical Methods in Engineering. Vol. 46. 409-431. 1999.

[372] J.S. Bergstrom and M.C. Boyce. “Constitutive Modeling of the Large Strain Time-Dependent Behavior of Elastomers”. Journal of the Mechanics and Physics of Solids. Vol. 46. 931-954. 1998.

[373] J.S. Bergstrom and M.C. Boyce. “Large Strain Time-Dependent Behavior of Filled Elastomers,”. Mechanics of Materials. Vol. 32. 627-644. 2000.

[374] H. Dal and M. Kaliske. “Bergstrom-Boyce Model for Nonlinear Finite Rubber Viscoelasticity: Theoretical Aspects and Algorithmic Treatment for the FE Method”. Computational Mechanics. Vol. 44. 809-823. 2009.

[375] A.K. Gupta. “Response Spectrum Method In Seismic Analysis and Design of Structures”. CRC Press. 1992.

[376] “NRC Regulatory Guide”. Published by the U.S. Nuclear Regulatory Commission, Regulatory Guide 1.92, Revision 2. July 2006.

[377] T. A. Laursen and V. Chawla. “Design of Energy Conserving Algorithms for Frictionless Dynamic Contact Problems”. International Journal for Numerical Methods in Engineering. Vol. 40. 863–886. 1997.

[378] F. Armero and E. Petőcz. “Formulation and Analysis of Conserving Algorithms for Dynamic Contact/Impact problems”. Computer Methods in Applied Mechanics and Engineering. Vol. 158. 269-300. 1998..

[379] R.W. Ogden and D. G. Roxburgh. “A Pseudo-Elastic Model for the Mullins Effect in Filled Rubber”. Proceedings of the Royal Society of London, Series A (Mathematical and Physical Sciences). Vol. 455 No. 1988. 2861-2877. 1999.

[380] K., J. Bose and A. Hurtado, et al. “Modeling of Stress Softening in Filled Elastomers”. Constitutive Models for Rubber III Proceedings of the 3rd European Conference on Constitutive Models for Rubber (ECCMR). 223-230. Edited by J. C. Busfield and A. H. Muhr. Taylor and Francis. London. 2003.

[381] M. Geradin and N. Kill. “A New Approach to Finite Element Modelling of Flexible Rotors,”. Engineering Computing. Vol. 1. March 1984.

[382] M. E. Gurtin. An Introduction to Continuum Mechanics. Academic Press. Orlando, Florida. 1981.

[383] M. A. Puso and T. A. Laursen. “A Mortar Segment-to-Segment Contact Method for Large Deformation Solid Mechanics”. Computer Methods in Applied Mechanics and Engineering. Vol. 193. 601-629. 2004.

[384] M. A. Puso and T. A. Laursen. “A Mortar Segment-to-Segment Frictional Contact Method for Large Deformations”. Computer Methods in Applied Mechanics and Engineering. Vol. 193. 4891-4913. 2004.

[385] S. Arndt, B. Svenson, and E. Klingbeil. “Modellierung der Eigenspannungen an der Rißspitze mit einem Schädigungsmodell”. Technische Mechanik. Vol. 4. 323-332. 1997.

[386] J. Besson and C. Guillemer-Neel. “An Extension of the Green and Gurson Models to Kinematic Hardening”. Mechanics of Materials. Vol. 35. 1-18. 2003.

[387] I.S. Sandler, F.L. DiMaggio, and G.Y. Baladi. “Generalized Cap Model for Geological Materials”. Journal of the Geotechnical Engineering Division. Vol. 102. 683-699. 1976.

[388] D. Pelessone. “A Modified Formulation of the Cap Model”. Gulf Atomic Report GA-C19579, prepared for the Defense Nuclear Agency under Contract DNA-001086-C-0277. January, 1989.

[389] L.E. Schwer and Y.D. Murray. “A Three-Invariant Smooth Cap Model with Mixed Hardening”. International Journal for Numerical and Analytical methods in Geomechanics. Vol. 18. 657-688. 1994.

[390] C.D. Foster, R.A. Regueiro, A.F. Fossum, and R.I. Borja. “Implicit Numerical Integration of a Three-Invariant, Isotropic/Kinematic Hardening Cap Plasticity Model for Geomaterials”. Computer Methods in Applied Mechanics and Engineering. Vol. 194. 50-52, 5109-5138. 2005.

[391] Ruijie Liu, Guoyu Lin, and Grama Bhashyam. “Transformation of the Sandler and Rubin Nonsmooth Cap Model to the Pelessone Smooth Cap Model”. ASCE Journal of Engineering Mechanics. Vol. 136. 680-685. 2010.

[392] WS Atkins PLC, . “Shell New Wave”. Engineering Software Report. No. ESR960611.

[393] L.A. O'Neill, E. Fakas, and M. Cassidy. "A Novel Application of Constrained New Wave Theory for Floatover Deck Installations". Proc. OMAE04. Canada 2004.

[394] R. Pinna and M. Cassidy. "Dynamic Analysis of a Monopod Platform Using Constrained New Wave". Proc. OMAE04. Canada 2004.

[395] W.J. Pierson and L. Moskowitz. “A Proposed Spectral Form of Fully Developed Wind Seas Based on the Similarity Theory of S. A. Kitaigorodskii”. Journal of Geophysical Research. Vol. 69. 5181-5190. 1964.

[396] D.E. Hasselmann, M. Dunckel, and J.A. Ewing. “Directional Wave Spectra Observed During JONSWAP 1973”. Journal Physical Oceanography. Vol. 10. 1264-1280. 1980.

[397] American Petroleum Institute, . “Recommended Practice for Planning, Designing and Constructing Fixed Offshore Platforms – Working Stress Design”. API RP2A-WSD. Ed. 20. 1993.

[398] A. Bajer, V. Belsky, and S.W. Kung. “The Influence of Friction-Induced Damping and Nonlinear Effects on Brake Squeal Analysis”. 22nd Annual Brake Colloquium & Exhibition. Anheim, CA. 2004. SAE International. Paper Number 2004–01–2794.

[399] A. Q. Tool. “Relation Between Inelastic Deformability and Thermal Expansion of Glass in its Annealing Range”. Journal of the American Ceramic Society. Vol. 67, No. 10. 240-253. 1946.

[400] A. Q., Markovsky, T. F. Soules, and D.C. Boyd. “An Efficient and Stable Algorithm for Calculating Fictive Temperatures". Journal of the American Ceramic Society. Vol. 67 . c56-c57. 1984.

[401] Michael R., Hatch. “Vibration Analysis using Matlab and ANSYS.. Chapman & Hall. 2001.

[402] A. Puck, J. Kopp, and M. Knop. “Guidelines for the Determination of the Parameters in Puck’s Action Plane Strength Criterion". Composites Science and Technology. Vol. 62 . 371-378. 2002.

[403] C. G. Davila, N. Jaunky, and S. Goswami. “Failure Criteria for FRP Laminates in Plane Stress". 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. AIAA Paper 2003-1991, . 2003.

[404] Pinho, et al. “Failure Models and Criteria for FRP Under In-Plane or Three-Dimensional Stress States Including Shear Non-linearity". NASA/TM-2005-213530, . 2005.

[405] E. H., Wong, Y. C. Teo, and T. B. Lim. “Moisture Diffusion and Vapour Pressure Modeling of IC Packaging”. 48th Electronics Components and Technology Conference. 1372-1378. 1998.

[406] N. M. Newmark. "Method of Computation for Structural Dynamics". ASCE Journal of Engineering Mechanics Division. Vol. 85. 67-94. 1959.

[407] L. Zhao and A. C. Cangellaris. "GT-PML: Generalized Theory of Perfectly Matched Layers and its application to the reflectionless truncation of finite-difference time-domain grids". IEEE Trans. Microwave Theory Tech. Vol. 44. 2555-2563. 1996.

[408] J. F. Allard and N. Atalla. Propagation of Sound in Porous Media: Modelling Sound Absorbing Materials. Second Edition. John Wiley & Sons. 2009.

[409] J.C. Whitaker. The Electronics Handbook. ISBN 0-8493-1889-0. CRC Press. 2005.

[410] R. M. Hintz. "Analytical methods in component modal synthesis". AIAA Journal. Vol 13. 8. 1007-1016. 1975.

[411] D. R. Martinez, T. G. Carne, D. L. Gregory, and A. K. Miller. "Combined experimental/ analytical modeling using component mode synthesis". AIAA/ASME/ASCE/AHS 25th Structures, Structural Dynamics and Materials Conference, Palm Springs, AIAA Paper 8-0941. 140-152. 1984.

[412] "Shock Design Criteria for Surface Ships". Naval Sea Systems Command. NAVSEA 0908-LP-000-3010, Rev. 1. September 1995.

[413] D. N. Herting. "A General Purpose, Multi-stage, Component Modal Synthesis Method". Finite Elements in Analysis and Design. Vol 1. 153-164. 1985.

[414] R. D. Graglia, D. R. Wilton, and A. F. Peterson. "Higher Order Interpolatory Vector Bases for Computational Electromagnetics". IEEE Transactions on Antennas and Propagation. Vol 45. 329-342. 1997.

[415] R. Bossart, N. Joly, and M. Bruneau. “Hybrid Numerical and Analytical Systems for Acoustic Boundary Problems in Thermo-Viscous Fluids”. Journal of Sound and Vibration. Vol. 263. 69-84. 2003.

[416] M. Beltman. Visco-Thermal Wave Propagating Including Acousto-Elastic Interaction. PhD Thesis. University of Twente, Mechanical Engineering Department. 1998.

[417] Y. Gao and A. F. Bower. "A Simple Technique for Avoiding Convergence Problems in Finite Element Simulations of Crack Nucleation and Growth on Cohesive Interfaces". Modelling and Simulation in Materials Science and Engineering. Vol 12. 453-463. 2004.

[418] R. A. Dalrymple and J. C. Cox. "Symmetric Finite-Amplitude Rotational Water Waves". Journal of Physical Oceanography. Vol 6. 847-852. 1976.

[419] H. C. Meng and K. C. Ludema. “Wear models and predictive equations: their form and content”. Wear. Vol 181-183. 443-457. 1995.

[420] J. F. Archard. “Contact and rubbing of flat surfaces”. Journal of Applied Physics. 24:. 1. 18-28. 1953.

[421] M. Hartzman, M. Reich, and P. Bezler. Piping Benchmark Problems - Dynamics Analysis Uniform Support Motion Response Method. Nuclear Regulatory Commission - NUREG/CR-1677. 1980.

[422] P. Paultre. Dynamics of Structures. 784. ISTE/Wiley. 2010.

[423] P. Léger, I. M. Idé, and P. Paultre. “Multiple-support seismic analysis of large structures”. Computers & Structures. 36:6 . 1153-1158. 1990.

[424] J.M. Dickens, J. M. Nakagawa, and M.J. Wittbrodt. “A critique of mode acceleration and modal truncation augmentation methods for modal response analysis”. Computers & Structures. Vol 62. 6. 985-998. 1997.

[425] J.K. Biswas and C. G. Duff. “Response Spectrum Method with Residual Terms”. Technical Paper 78-PVP-79. ASME Pressure Vessel and Piping Division Meeting. 1978.

[426] I. Politopoulos. Private Communication. 2014.

[427] B. Rafaely. “Spatial-Temporal Correlation of a Diffuse Sound Field”. Journal of the Acoustical Society of America. Vol 17. 3254-3258. 2000.

[428] B. Van den Nieuwenhof, B. Lielens, and J. P. Coyette. “Modeling Acoustic Diffuse Fields: Updated Sampling Procedure and Spatial Correlation Function Eliminating Grazing Incidences”. Proceedings of ISMA2010-UDS2010. 4723-4736. 2010.

[429] U. Nackenhorst. “The ALE-Formulation of Bodies in Rolling Contact: Theoretical Foundations and Finite Element Approach”. Computer Methods in Applied Mechanics and Engineering. 193: 39-41, . 4299-4322. 2010.

[430] S.-H. Lim, R. Bladh, M.P. Castanier, and C. Pierre. “Compact, Generalized Component Mode Mistuning Representation for Modeling Bladed Disk Vibration”. AIAA Journal. Vol 45. 9. 2285-2298. 2007.

[431] O.C. Zienkiewicz and T. Shiomi. “Dynamic Behaviour of Saturated Porous Media; The Generalized Biot Formulation and its Numerical Solution”. International Journal for Numerical and Analytical Methods in Geomechanics. Vol 8. 1. 71-96. 1984.

[432] U. Mϋhlich and W. Brocks. “On the Numerical Integration of a Class of Pressure-Dependent Plasticity Models Including Kinematic Hardening”. Computational Mechanics. Vol 31. 6. 479-488. 2003.

[433] R.G. Kirk and E.J. Gunter. Short Bearing Analysis Applied to Rotor Dynamics - Part I Theory - Part II Results of Journal Bearing Response. Transactions of ASME - Journal of Lubrication Technology. 1976.

[434] D. Bonneau, A. Fatu, and D. Souchet. Hydrodynamic Bearings. Wiley. 2014.

[435] H. Hirani, K. Athre, and S. Biswas. Dynamically Loaded Finite Length Journal Bearings: Analytical Method of Solution. Transaction of ASME - Journal of Tribology. Vol. 121. Oct., 1999.

[436] Z. He, B. Epureanu, and C. Pierre. Fluid-Structural Coupling Effects on the Dynamics of Mistuned Bladed Disks. AIAA Journal. Vol. 45. 3. 552-561. 2007.

[437] O. C. Zienkiewicz, Y. M. Xie, B. A. Schrefler, A. Ledesma, and N. Bicanic. Static and Dynamic Behaviour of Soils: A Rational Approach to Quantitative Solutions. II. Semi-Saturated Problems. Proceedings of the Royal Society of London. Vol. 429. 1877. 311-321. Jun., 1990.