Euler-Lagrange Elasticity with Dynamics

H. H. Hardy^{*}

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References

[1] Maugin, G.A. (2013) Continuum Mechanics through the Twentieth Century. Springer, London.

http://dx.doi.org/10.1007/978-94-007-6353-1

[2] Truesdell, C. and Noll, W. (2009) The Non-Linear Field Theories of Mechanics. Springer, London.

[3] Srinivasa, A.R. and Srinivasan, S.M. (2004) Inelasticity of Materials. World Springer, New York.

[4] Pedregal, P. (2000) Variational Methods in Nonlinear Elasticity. Siam, Philadelphia.

[5] Hardy, H.H. (2013) Euler-Lagrange Elasticity: Differential Equations for Elasticity without Stress or Strain. Journal of Applied Mathematics and Physics, 1, 26-30.

[6] Todhunter, I. (1886) A History of the Theory of Elasticity and of the Strength of Materials from Galileo to the Present Time. Vol. 1, Cambridge University Press, New York.

[7] Shabana, A.A. (2008) Computational Continuum Mechanics. Cambridge University Press, New York, 131.

http://dx.doi.org/10.1017/CBO9780511611469.005

[8] Spencer, A.J. (1980) Continuum Mechanics. Dover, Mineola, New York.

[9] Ogden, R.W. (1984) Non-Linear Elastic Deformations. Dover, Mineola, New York.

[10] Hardy, H.H. and Shmidheiser, H. (2011) A Discrete Region Model of Isotropic Elasticity. Mathematics and Mechanics of Solids, 16, 317-333.

http://dx.doi.org/10.1177/1081286510391666