Page 170 - Introduction to Continuum Mechanics
P. 170
Kinematics of a Continuum 155
gives the two point components of F with respect to the two sets of bases, one at the reference
configuration, the other at the current configuration.
The components of the left Cauchy-Green deformation tensor B with respect to the basis
at the current configuration are given by [see Prob.3.77]
l
l
Again, the components of B can be obtained by using the equation dX = F dx and the
inverse of Eq. (xii). We list here two of the six components. The other four components can
be easily written down following the patterns of these two equations.
The components of the right Cauchy-Green deformation tensor C with respect to the basis
at the reference configuration are given by: [see Prob. 3.78]
