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Problems
for Appendix E
Miscellaneous
Derivations
A.
E.1 Let  be a time varying tensor. Show that
E.2 Consider a deformable solid. Let denote a closed region within the undeformed
solid, and let be the same region of the solid in the
deformed configuration. Let denote the area of the surface surrounding ,
and let denote the area of the same surface after
deformation. Let denote the position of a material particle
in the solid before deformation and let be the position of the same point after
deformation. Define
Show that
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