Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity

Lower semi-continuity and existence of minimizers in incremental finite-strain elastoplasticity

We study incremental problems in geometrically nonlinear elastoplasticity. Using the multiplicative decomposition Dφ = FelFpl we consider general energy functionals of the form

Existence of Minimizers in Incremental Elasto-Plasticity with Finite Strains

We consider elasto-plastic deformations of a body which is subjected to a time-dependent loading. The model includes fully nonlinear elasticity as well as the multiplicative split of the deformation gradient into an elastic part and a plastic part. Using the energetic formulation for this rate-independent process we derive a time-incremental problem, which is a minimization problem with respect...

The Existence of Finite Element Minimizers

We present a general theorem on the existence of nite element minimizers for the approximation of variational problems of multiple inte-grals. Our theorem applies to variational problems for which a minimum does not exist in innnite-dimensional spaces of functions. Such problems occur in models for microstructure in martensitic and ferromagnetic crystals .

A - Quasiconvexity , Lower Semicontinuity And

Lower semicontinuity of surface energies