Hyperelastic bodies under homogeneous Cauchy stress induced by three-dimensional non-homogeneous deformations
Mathematical Physics
2019-04-04 v2 math.MP
Abstract
In isotropic finite elasticity, unlike in the linear elastic theory, a homogeneous Cauchy stress may be induced by non-homogeneous strains. To illustrate this, we identify compatible non-homogeneous three-dimensional deformations producing a homogeneous Cauchy stress on a cuboid geometry, and provide an example of an isotropic hyperelastic material, which is not rank-one convex, and for which the homogeneous stress and the associated non-homogeneous strains on a domain similar to those analysed are given explicitly.
Keywords
Cite
@article{arxiv.1611.01772,
title = {Hyperelastic bodies under homogeneous Cauchy stress induced by three-dimensional non-homogeneous deformations},
author = {L. Angela Mihai and Patrizio Neff},
journal= {arXiv preprint arXiv:1611.01772},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1608.05040