This section lists texts and papers that should provide a starting point for obtaining additional information on topics of interest.

  1. Agah-Tehrani A.EHLeeRLMallett, and ETOnat, The Theory of Elastic-Plastic Deformation at Finite Strain with Induced Anisotropy Modeled as Combined Isotropic-Kinematic Hardening,” Metal Forming Report, Rensselaer Polytechnic Institute, Troy, New York, 1986.
  2. Al-Ani A. M. and JWHancock, J-Dominance of Short Cracks in Tension and Bending,” Journal of the Mechanics and Physics of Solids, vol. 39, pp. 2343, 1991.
  3. Allik H.The Application of Finite and Infinite Elements to Problems in Structural Acoustics, Computational Mechanics '91: Proceedings of the International Conference on Computational Engineering Science, ICES Publications, Atlanta, Georgia, 1991.
  4. Anagnastopoulos S. A.Response Spectrum Techniques for Three Component Earthquake Design,” Earthquake Engineering and Structural Dynamics, vol. 9, pp. 459476, 1981.
  5. Aoki S.KKishimoto, and MSakjata, Crack Tip Stress and Strain Singularity in Thermally Loaded Elastic-Plastic Material,” Transactions of the ASME, Journal of Applied Mechanics, vol. 48, no. 2, pp. 428429, 1981.
  6. Aravas N.On the Numerical Integration of a Class of Pressure-Dependent Plasticity Models,” International Journal for Numerical Methods in Engineering, vol. 24, pp. 13951416, 1987.
  7. Aravas N. and ECAifantis, On the Geometry of Slip and Spin in Finite Plastic Deformation,” International Journal of Plasticity, vol. 7, pp. 141160, 1991.
  8. Arruda E. M. and MCBoyce, A Three-Dimensional Constitutive Model for the Large Stretch Behavior of Rubber Elastic Materials,” Journal of the Mechanics and Physics of Solids, vol. 41, no. 2, pp. 389412, 1993.
  9. ASCE 4-98, Seismic Analysis of Safety-Related Nuclear Structures and Commentary, American Society of Civil Engineers, 2000.
  10. Ashwell D. G. and RHGallagher, Finite Elements for Thin Shells and Curved Members, John Wiley and Sons, London, 1976.
  11. Astley R. J.GJMacaulay, and JPCoyette, Mapped Wave Envelope Elements for Acoustical Radiation and Scattering,” Journal of Sound and Vibration, vol. 170, pp. 97118, 1994.
  12. Atomic Energy Commission Regulatory Guide 1.60, Design Response Spectra for Seismic Design of Nuclear Power Plants.
  13. Atomic Energy Commission Regulatory Guide 1.92, Combining Modal Responses.
  14. Barlow J.Optimal Stress Locations in Finite Element Models,” International Journal for Numerical Methods in Engineering, vol. 10, pp. 243251, 1976.
  15. Barnett D. M. and RJAsaro, The Fracture Mechanics of Slit-Like Cracks in Anisotropic Elastic Media,” Journal of the Mechanics and Physics of Solids, vol. 20, pp. 353366, 1972.
  16. Bathe K. J. and CAAlmeida, A Simple and Effective Pipe Elbow Element—Linear Analysis,” Transactions of the ASME, Journal of Applied Mechanics, vol. 47, no. 1, 1980.
  17. Bathe K. J. and ENDvorkin, A Continuum Mechanics-Based Four-Node Shell Element for General Non-Linear Analysis,” International Journal of Computer Aided Engineering Software, vol. 1, 1984.
  18. Bathe K. J. and ELWilson, Large Eigenvalue Problems in Dynamic Analysis,” Proceedings of the ASCE, EM6, 98, pp. 14711485, 1972.
  19. Batoz J. L.KJBathe, and LWHo, A Study of Three-Node Triangular Plate Bending Elements,” International Journal for Numerical Methods in Engineering, vol. 15, pp. 17711821, 1980.
  20. Bayliss A.MGunzberger, and ETurkel, Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions,” SIAM Journal of Applied Mathematics., vol. 42, no. 2, pp. 430451, 1982.
  21. Bear J.Dynamics of Fluids in Porous Media, American Elsevier Publishing Company, Dover, New York, 1972.
  22. Belytschko T.Survey of Numerical Methods and Computer Programs for Dynamic Structural Analysis,” Nuclear Engineering and Design, vol. 37, pp. 2334, 1976.
  23. Belytschko T. and LPBindeman, Assumed Strain Stabilization of the Eight Node Hexahedral Element,” Computer Methods in Applied Mechanics and Engineering, vol. 105, pp. 225260, 1993.
  24. Belytschko T.JILin, and CSTsay, Explicit Algorithms for the Nonlinear Dynamics of Shells,” Computer Methods in Applied Mechanics and Engineering, vol. 43, pp. 251276, 1984.
  25. Belytschko T.BLWong, and HYChiang, Advances in One-Point Quadrature Shell Elements,” Computer Methods in Applied Mechanics and Engineering, vol. 96, pp. 93107, 1992.
  26. Bergan P. B.GHorrigmoeBKrakeland, and THSoreide, Solution Techniques for Non-Linear Finite Element Problems,” International Journal for Numerical Methods in Engineering, vol. 12, pp. 16771696, 1978.
  27. Bergström J. S. and MCBoyce, Constitutive Modeling of the Large Strain Time-Dependent Behavior of Elastomers,” Journal of the Mechanics and Physics of Solids, vol. 46, pp. 931954, 1998.
  28. Betegón C. and JWHancock, Two-Parameter Characterization of Elastic-Plastic Crack-Tip Fields,” Journal of Applied Mechanics, vol. 58, pp. 104110, 1991.
  29. Bettess P.CEmson, and TCChaim, A New Mapped Infinite Element for Exterior Wave Problems, Numerical Methods in Coupled Systems, Edited by R. W. Lewis et al, John WIley & Sons, 1984.
  30. Bilby B. A.GEGoldthorpe, and ICHoward, A Finite Element Investigation of the Effect of Specimen Geometry on the Fields of Stress and Strain at the Tip of Stationary Cracks, Size Effects in Fracture, Institution of Mechanical Engineers, London, pp. 37–46, 1986.
  31. Bilkhu S. Private communication, 1987.
  32. Budiansky B. and JLSanders, On the `Best' First-Order Linear Shell Theory, Progress in Applied Mechanics, The Prager Anniversary Volume, Macmillan, London, pp. 129–140, 1963.
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  34. Calladine C. R.A Microstructural View of the Mechanical Properties of Saturated Clay,” Geotechnique, vol. 21, no. 4, pp. 391415.
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  36. Chu C. C. and ANeedleman, Void Nucleation Effects in Biaxially Stretched Sheets,” Journal of Engineering Materials and Technology, vol. 102, pp. 249256, 1980.
  37. Clough R. W. and JPenzien, Dynamics of Structures, McGraw-Hill, New York, 1975.
  38. Coffin L. F., Jr.The Flow and Fracture of a Brittle Material,” Journal of Applied Mechanics, vol. 72, pp. 233248, 1950.
  39. Cohen M. and PCJennings, Silent Boundary Methods for Transient Analysis (in Computational Methods for Transient Analysis), Ed. T. Belytschko and T. R. J. Hughes, Elsevier, 1983.
  40. Cormeau I.Numerical Stability in Quasi-Static Elasto-Visco Plasticity,” International Journal for Numerical Methods in Engineering, vol. 9, pp. 109127, 1975.
  41. Cotterell B. and JRRice, Slightly Curved or Kinked Cracks,” International Journal of Fracture, vol. 16, pp. 155169, 1980.
  42. Cowper G. R.Gaussian Quadrature for Triangles,” International Journal for Numerical Methods in Engineering, vol. 7, pp. 405408, 1973.
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  45. Crisfield M. A.Snap-Through and Snap-Back Response in Concrete Structures and the Dangers of Under-Integration,” International Journal for Numerical Methods in Engineering, vol. 22, pp. 751767, 1986.
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  48. Desai C. S.Finite Element Methods for Flow in Porous Media in Finite Elements in Fluids, vol. 1, Wiley, London, pp. 157–181, 1975.
  49. Deshpande V. S. and NAFleck, Isotropic Constitutive Model for Metallic Foams,” Journal of the Mechanics and Physics of Solids, vol. 48, pp. 12531276, 2000.
  50. Dodge W. G. and SEMoore, Stress Indices and Flexibility Factors for Moment Loadings on Elbows and Curved Pipes,” Welding Research Council Bulletin, no. 179, December 1972.
  51. Drucker D. C. and WPrager, Soil Mechanics and Plastic Analysis or Limit Design,” Quarterly of Applied Mathematics, vol. 10, pp. 157165, 1952.
  52. Du Z. -Z. and JWHancock, The Effect of Non-Singular Stresses on Crack-Tip Constraint,” Journal of the Mechanics and Physics of Solids, vol. 39, pp. 555567, 1991.
  53. Dupuis G.Stabilité Elastique des Structures Unidimensionelles,” ZAMP, vol. 20, pp. 94106, 1969.
  54. Eleiche A. S. M.A Literature Survey of the Combined Effects of Strain Rate and Elevated Temperature on the Mechanical Properties of Metals,” Air Force Materials Laboratories, Report AFML–TR–72–125, 1972.
  55. Engelmann B. E. and RGWhirley, A New Explicit Shell Element Formulation for Impact Analysis (in Computational Aspects of Contact, Impact and Penetration), Ed. R. F. Kulak and L. E. Schwer, Elmepress International, 1990.
  56. Engquist B. and AMajda, Absorbing Boundary Conditions for the Numerical Simulation of Waves,” Mathematics of Computation, vol. 31, pp. 629651, 1977.
  57. Ericsson T. and ARuhe, The Spectral Transformation Lanczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems,” Mathematics of Computation, vol. 35, pp. 12511268, 1980.
  58. Erdogan F. and GCSih, On the Crack Extension in Plates under Plane Loading and Transverse Shear,” Journal of Basic Engineering, vol. 85, pp. 519527, 1963.
  59. Everstine G.A Symmetric Potential Formulation for Fluid-Structure Interaction,” Journal of Sound and Vibration, vol. 79, pp. 157160, 1981.
  60. Faltinsen O. M.Sea Loads on Ships and Offshore Structures, Cambridge University Press, 1990.
  61. Farin G.Curves and Surfaces for Computer Aided Geometric Design, Academic Press, San Diego, Second Edition, 1990.
  62. Farin G.Smooth Interpolation to Scattered 3D Data in Surfaces in Computer Aided Geometric Design, Barnhill, R. E. and Boehm, W., eds., North-Holland, pp. 43–63, 1983.
  63. Flanagan D. P. and TBelytschko, A Uniform Strain Hexahedron and Quadrilateral with Orthogonal Hourglass Control,” International Journal for Numerical Methods in Engineering, vol. 17, pp. 679706, 1981.
  64. Flugge W.Tensor Analysis and Continuum Mechanics, Springer-Verlag, New York, 1972.
  65. Fung Y. C.KFronek, and PPatitucci, Pseudoelasticity of Arteries and the Choice of its Mathematical Expressions,” American Journal of Physiology, vol. 237, pp. H620H631, 1979.
  66. Gao H.MAbbudi, and DMBarnett, Interfacial Crack-Tip Fields in Anisotropic Elastic Solids,” Journal of the Mechanics and Physics of Solids, vol. 40, pp. 393416, 1992.
  67. Gasser T. C.GAHolzapfel, and RWOgden, Hyperelastic Modelling of Arterial Layers with Distributed Collagen Fibre Orientations,” Journal of the Royal Society Interface, vol. 3, pp. 1535, 2006.
  68. Geers T. L. and KSHunter, An Integrated Wave-Effects Model for an Underwater Explosion Bubble,” Journal of the Acoustical Society of America, vol. 111(4), pp. 15841601, 2002.
  69. Geers T. L. and CKPark, Optimization of the G & H Bubble Model,” Shock and Vibration, vol. 12(1), pp. 38, 2005.
  70. Gibson L. J. and MFAshby, The Mechanics of Three-Dimensional Cellular Materials,” Proceedings of the Royal Society, London, A 382, pp. 4359, 1982.
  71. Gibson L. J.MFAshbyGSSchajer, and CIRobertson, The Mechanics of Two-Dimensional Cellular Materials,” Proceedings of the Royal Society, London, A 382, pp. 2542, 1982.
  72. Gordon J. L.OUTCUR: An Automated Evaluation of Two-Dimensional Finite Element Stresses According to ASME Section III Stress Requirements,” Paper No. 76–WA/PVP-16, ASME Winter Annual Meeting, December 1976.
  73. Govindarajan S. M. JAHurtado, and WVMars, Simulation of Mullins Effect and Permanent Set in Filled Elastomers Using Multiplicative Decomposition,” Proceedings of the 5th European Conference for Constitutive Models for Rubber, Paris, September 2007.
  74. Green A. E. and PMNaghdi, A General Theory of an Elastic-Plastic Continuum,” Archives of Rational Mechanics and Analysis, vol. 17
  75. Grimes R. G.JGLewis, and HDSimon, A Shifted Block Lanczos Algorithm for Solving Sparse Symmetric Generalized Eigenproblems,” SIAM Journal on Matrix Analysis and Applications, vol. 15, pp. 228272, 1994.
  76. Grote M. and JKeller, On Nonreflecting Boundary Conditions,” Journal of Computational Physics, vol. 122, pp. 231243, 1995.
  77. Gudehus G.Finite Elements in Geomechanics, Wiley and Sons, 1977.
  78. Gupta A. K.Response Spectrum Method in Seismic Analysis and Design of Structures, Blackwell Scientific Publications, 1990.
  79. Gurson A. L.Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Materials,” Journal of Engineering Materials and Technology, vol. 99, pp. 215, 1977.
  80. Hansen H. T.Nonlinear Static and Dynamic Analysis of Slender Structures Subjected to Hydrodynamic Loading, University of Trondheim, Norway, 1988.
  81. Hayashi K. and SNemat-Nasser, Energy-Release Rate and Crack Kinking under Combined Loading,” Journal of Applied Mechanics, vol. 48, pp. 520524, 1981.
  82. He M. -Y. and JWHutchinson, Kinking of a Crack out of an Interface: Tabulated Solution Coefficients, Harvard University, Cambridge, Massachusetts, Division of Applied Mechanics, 1989.
  83. Hegemier G. A.Evaluation of Models for MX Siting, Volume II—Reinforced Concrete Models, Systems, Science and Software, Report SSS–R–80–4155, La Jolla, California, 1979.
  84. Hegemier G. A. and KJCheverton, Evaluation of Reinforced Concrete Models for Nuclear Power Plant Application, EPRI, Palo Alto, California, 1980.
  85. Hibbitt H. D.Some Follower Forces and Load Stiffness,” International Journal for Numerical Methods in Engineering, vol. 14, pp. 937941, 1979.
  86. Hibbitt H. D.Special Structural Elements of Piping Analysis, Pressure Vessels and Piping; Analysis and Computers, ASME, New York, 1974.
  87. Hibbitt H. D. and BIKarlsson, Analysis of Pipe Whip, EPRI, Report NP–1208, 1979.
  88. Hilber  H. M.TJRHughes, and RLTaylor, Improved Numerical Dissipation for Time Integration Algorithms in Structural Dynamics,” Earthquake Engineering and Structural Dynamics, vol. 5, pp. 283292, 1977.
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  91. Hillerborg A.MModeer, and PEPetersson, Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements,” Cement and Concrete Research, vol. 6, pp. 773782, 1976.
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  116. Kilian H.-G.Equation of State of Real Networks,” Polymer, vol. 22, pp. 209216, 1981.
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