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- W1973852034 abstract "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." @default.
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- W1973852034 date "2012-01-01" @default.
- W1973852034 modified "2023-09-23" @default.
- W1973852034 title "GRADIENT-DEPENDENT CONSTITUTIVE LAWS FOR A MODEL OF MICROCRACKED BODIES" @default.
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- W1973852034 doi "https://doi.org/10.1615/intjmultcompeng.2012002781" @default.
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