APPENDIX D

Representations and Hyperelastic Bodies

D.a. Hyperelastic Bodies

In (A.13) we have shown that the rate at which energy is stored in a body during a given deformation from reference body *B*(0), assuming no heat loss, is given by

(D.1) |

where *S* is the second Piola-Kirchhoff stress tensor, *E* is the Lagrange deformation tensor (2.69), and the integral is over the fixed reference body *B* (0). The entire integrand is not necessarily the time derivative of a function. The stress tensor *S* is generally a complicated function of the ...

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