Textbook:

• Allan Bower, Applied Mechanics of Solids, CRC Press, 2010. (available on http://solidmechanics.org/ for free)

General continuum mechanics books

• Y. C. Fung, A First Course in Continuum Mechanics, 3^rd 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, 3^rd 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.