On axially symmetric deformations of perfectly elastic compressible materials

Dynamic Deformation of Axially Symmetric Elastic Membranes

On the non-uniqueness of elastic rotations for deformations of materials with elastic range

ON THE NON-UNIQUENESS OF ELASTIC ROTATIONS FOR DEFORMATIONS OF MATERIALS WITH ELASTIC RANGE by David R. Owen In this note precise definitions of the concepts of permanent deformation, annealed state, and non-softening material are used to establish non-uniqueness of elastic rotations for deformations of certain materials with elastic range. ON THE NON-UNIQUENESS OF ELASTIC ROTATIONS FOR DEFORMA...

Quasistatic Evolution Problems for Linearly Elastic - Perfectly Plastic Materials

The problem of quasistatic evolution in small strain associative elastoplasticity is studied in the framework of the variational theory for rate-independent processes. Existence of solutions is proved through the use of incremental variational problems in spaces of functions with bounded deformation. This provides a new approximation result for the solutions of the quasistatic evolution problem...

A Theory of Volumetric Growth for Compressible Elastic Biological Materials

��������� A general theory of volumetric growth for compressible elastic materials is presented. The authors derive a complete set of governing equations in the present configuration for an elastic material undergo­ ing a continuous growth process. In particular, they obtain two constitutive restrictions from a work-energy principle. First, the authors show that a growing elastic material behav...

Incompressible limit behaviour of slightly compressible nonlinear elastic materials

This paper deals with the convergence of the déformations and stresses of slightly compressible elastic bodies to the incompressible ones as the compressibility goes to zero. The result concerning déformations is a very gênerai convergence result stated in the context of J. BaWs polyconvex stored energy functions. The convergence of the stresses in obtained fïrst formally through an assumption ...