4.2 Cauchy's theorem for microstructural contact actions

We assume that τ is a function of the point x and the normal n to bsi524_e at all points where the normal itself is uniquely defined and at every instant. In other words, we presume the validity of Cauchy's postulate for the microstructural contact actions. A question is then whether we can prove the Cauchy theorem for τ.

A proof is given in Capriz and Virga (1990), but there the microstructure is represented in a manifold embedded into a linear space, with undoubted advantages. Here we want to maintain the representation of the microstructure in a manifold as abstract as possible, avoiding ...

Get Advances in Applied Mechanics now with the O’Reilly learning platform.

O’Reilly members experience live online training, plus books, videos, and digital content from nearly 200 publishers.