On microcontinuum field theories: the Eshelby stress tensor and incompatibility conditions
Materials Science
2015-11-10 v1 Classical Physics
Abstract
We investigate linear theories of incompatible micromorphic elasticity, incompatible microstretch elasticity, incompatible micropolar elasticity and the incompatible dilatation theory of elasticity (elasticity with voids). The incompatibility conditions and Bianchi identities are derived and discussed. The Eshelby stress tensor (static energy momentum) is calculated for such inhomogeneous media with microstructure. Its divergence gives the driving forces for dislocations, disclinations, point defects and inhomogeneities which are called configurational forces.
Keywords
Cite
@article{arxiv.1511.02701,
title = {On microcontinuum field theories: the Eshelby stress tensor and incompatibility conditions},
author = {Markus Lazar and Gerard A. Maugin},
journal= {arXiv preprint arXiv:1511.02701},
year = {2015}
}