年間 6 号発行
ISSN 印刷: 1543-1649
ISSN オンライン: 1940-4352
Indexed in
GRADIENT-DEPENDENT CONSTITUTIVE LAWS FOR A MODEL OF MICROCRACKED BODIES
要約
The aim of this paper is to propose nonlocal constitutive laws for a model of microcracked bodies. To do so, we use a multiscale approach: we call macroscopic the description in which the body is considered as a continuum and we refer to the microscopic scale when a crack is studied at a closer view. We first propose an approximation of the stress and strain fields in the vicinity of a crack, considering the neighboring discontinuities. We then use equivalence principles between micro- and macroscopic scales in order to determine the expression of the macroscopic constitutive assignments of the body. The latter are written not only in terms of the local values of the deformation and the local values of the geometrical variables representative of the crack field, but also in terms of their gradients. Numerical implementations are performed; we compare constitutive laws obtained from local and nonlocal approaches.
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