Balance Laws in Micromorphic Elasticity
Markus Lazar, Charalampos Anastassiadis
TL;DR
This paper derives fundamental balance laws and tensors in micromorphic elasticity, providing a theoretical framework for understanding energy and momentum distribution in complex elastic materials.
Contribution
It introduces new derivations of the Eshelby stress tensor, angular momentum tensor, and dilatational flux specific to micromorphic elasticity, along with their associated balance laws.
Findings
Derivation of the Eshelby stress tensor for micromorphic materials
Formulation of the angular momentum tensor and dilatational flux
Conditions under which balance laws become conservation laws
Abstract
We derive the Eshelby stress tensor, the angular momentum tensor and the dilatational vector flux for micromorphic elasticity. We give the corresponding balance laws and the J, L, and M integrals. Also we discuss when the balance laws become conservation laws.
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Taxonomy
TopicsThermoelastic and Magnetoelastic Phenomena · Nonlocal and gradient elasticity in micro/nano structures · Elasticity and Material Modeling