Page 168 - Introduction to Continuum Mechanics
P. 168

Kinematics of a Continuum 153





























           The components of the right Cauchy-Green tensor C, with respect to the basis at the
                                                                          T
         reference position X can be obtained as follows. From the definition C = F F , and by using
         Eqs. (3.30.4) and (3.30.5 ) we obtain











         Similarly,








         Other components can be obtained in the same way [see Prob. 3.75], We list all the com-
         ponents below:
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