On mixed variational formulations in finite elasticity

Abstract

In extension of a recent variational formulation of the problem of infinitesimal elasticity, with arbitrary variations of displacements andsome stresses [6], we use a recent consideration of variational formulations of finite elasticity, with arbitrary variations of translational and rotational displacements and of all stresses, or with arbitrary variations of these displacements and of three reactive stress measures [5], for the purpose of obtaining generalizations of the results in [6] which are valid for the equations of finite elasticity in terms of what we have called [5] “distinguished generalized” Piola stress components.