On microcontinuum field theories: the Eshelby stress tensor and incompatibility conditions |
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| Authors: | M. Lazar G. A. Maugin |
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| Affiliation: | 1. Emmy Noether Research Group, Department of Physics , Darmstadt University of Technology , Hochschulstr. 6, D-64289 Darmstadt, Germany lazar@fkp.tu-darmstadt.de;3. Laboratoire de Modélisation en Mécanique , UMR 7607 CNRS Université Pierre et Marie Curie , 4 Place Jussieu, Case 162, F-75252 Paris Cedex 05, France |
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| 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. |
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