Page 497 - Introduction to Continuum Mechanics

Non-Newtonian Fluids 481

To obtain the components of C t , one can either invert the symmetric matrix whose
components are given by Eqs. (8.8.2), or one can obtain them from the inverse functions of
Eq. (8.8.1), i.e.,

Indeed, it can be obtained

Example 8.8.1
Find the relative right Cauchy-Green deformation tensor and its inverse for the velocity
field given in Example 8.5.1
Solution. Since

we have, with k = dv /dx^