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Textbook:

General continuum mechanics books

  • Y. C. Fung, A First Course in Continuum Mechanics, 3rd Edition, Prentice-Hall, 1994.

  • Y. C. Fung and Pin Tong, Classical and Computational Solid Mechanics, World Scientific, 2001.

  • L. Malvern, An Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, 1969.

  • W. M. Lai, D. Rubin and E. Krempl, Introduction to Continuum Mechanics, Pergamon Press, 1978.

  • M. E. Gurtin, An Introduction to Continuum Mechanics, Academic Press, 1982.

  • P. Chadwick, Continuum Mechanics, George Allen and Unwin, 1976.

  • P. Chadwick, Continuum Mechanics: Concise Theory and Problems, Dover Reprint, 1999.

  • A. J. M. Spencer, Continuum Mechanics, Longman, 1980.

  • C. Truesdell and W. Noll, The Non-Linear Field Theories of Mechanics, in Encyclopedia of Physics, Vol. III/3, Springer, 1965.

Finite deformation elasticity books

  • S. S. Antman, Nonlinear Problems of Elasticity, Springer-Verlag, 1995.

  • R.W. Ogden, Nonlinear Elastic Deformations, John Wiley, 1984 (Dover reprint).

  • P. G. Ciarlet, Mathematical Elasticity, Vol. I, North-Holland, 1988

  • J. E. Marsden & T. J. R. Hughes, Mathematical Foundation of Elasticity, Prentice Hall, 1983 (Dover reprint).

  • C.-C. Wang & C. Truesdell, Introduction to Rational Elasticity, Noordhoff, 1973.

  • T. Valent, Boundary-Value Problems of Finite Elasticity, Springer-Verlag, 1988.

  • Y. B. Fu & R.W. Ogden, Nonlinear Elasticity, Cambridge, 2001.

  • M.E. Gurtin, Topics in Finite Elasticity, SIAM, 1981

  • A. D. Drozdov, Finite Elasticity and Viscoelasticity, World Scientific, 1996.

  • J. Bonet and R. D. Wood, Nonlinear Continuum Mechanics for Finite Element Analysis, Cambridge, 2008.

  • R. J. Atkin and N. Fox, An Introduction to the Theory of Elasticity, Longman, 1980.

Small strain linear and nonlinear elasticity

  • J. R. Barber, Elasticity, 3rd revised ed., Springer 2010. (A modern and well written introduction to linear elasticity)

  • S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, McGraw-Hill, 1970. (Well written, and contains lots of useful solutions to elastic boundary value problems, but the notation is dated and the book does not cover plasticity or finite element analysis).

  • M. E. Gurtin, The Linear Theory of Elasticity, in Encyclopedia of Physics, Vol. VIa/1, Springer, 1965.

  • W. B. Bickford, Advanced Mechanics of Materials, Addison-Wesley, 1998

  • A. E. Green and W. Zerna, Theoretical Elasticty, Dover Reprint, 1992.

Textbooks on the finite element method:

  • T. Belytschko, W. K. Liu, B. Moran and K. I. Elkhodary, Nonlinear Finite Elements for Continua and Structures, John Wiley & Sons, 2014.

  • K. J. Bathe, Finite Element Procedures. Prentice Hall, 1996.

  • T. J. R. Hughes, The Finite Element Method, Linear Static and Dynamic Finite Element Analysis, Dover, 2000.

  • O. C. Zienkiewicz and R. L. Taylor. The Finite Element Method. Mc-Graw Hill, 1989.