Non-convex energy functionals. Application to non-convex elastoplasticity
In this paper we show that, if the elastic energy is not fully recovered after a loading cycle, it is possible to define a non-convex plastic potential (which generally may be non-differentiable). The developed theory allows for the consideration of non-convex yield functions. The variational formulations are not variational inequalities as in convex problems but they have more general forms, which we call ''hemi- variational'' inequalities.
not fully recovered after a loading cycle
scientific article; zbMATH DE number 3848694