Micromechanics of composites/Proof 5
Surface-volume integral relation 2
editLet be a body and let be its surface. Let be the normal to the surface. Let be a vector field on . Show that
Proof:
Recall that
where is any second-order tensor field on . Let us assume that . Then we have
Now,
where is any second-order tensor. Therefore,
Rearranging,