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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