Material forces in micromorphic thermoelastic solids

Autor: James D. Lee, Youping Chen
Rok vydání: 2005
Předmět:
Zdroj: Philosophical Magazine. 85:3897-3910
ISSN: 1478-6443
1478-6435
Popis: The physical foundation, balance laws and constitutive relations of microcontinuum field theories are briefly reviewed. The concept of material forces, which may also be referred as Eshelbian mechanics, is extended to micromorphic theory. The balance law of pseudo-momentum is formulated. The detailed expressions of Eshelby stress tensor, pseudo-momentum and material forces are derived. It is found that, for micromorphic thermoelastic solids, the material forces are due to (1) body force and body moment, (2) temperature gradient and (3) the material inhomogeneities in density, microinertia and elastic coefficients. Finite element analysis is performed for a polycrystalline, which is composed of randomly distributed and oriented grains and in between the grain boundaries in its amorphous phase. Each grain is modeled as a single crystal by specialized micromorphic theory. The grain boundaries are modeled with a thin and finite width by classical continuum mechanics. A thin film of silicon, cooling down from ...
Databáze: OpenAIRE