期刊
INTERNATIONAL JOURNAL OF DAMAGE MECHANICS
卷 20, 期 8, 页码 1151-1177出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/1056789511406914
关键词
two-scale method; asymptotic analysis; matched asymptotic expansions; homogenization; microcracks; microholes; damage; Ventcel's conditions
资金
- French Agence Nationale de la Recherche (ANR) [BLAN08-2_312370]
We propose a two-scale method to find the effective behavior of a three-dimensional linear elastic medium containing a series of microcracks or microholes located on a surface. The obtained effective behavior is that of a homogeneous body with, in place of the actual microdefects, a surface across which the displacements and the stresses suffer jump discontinuities. The transmission conditions are in general of Ventcel's type. The coefficients entering in these jump conditions are obtained by solving six elastic problems posed on an infinite representative cell. The theoretical analysis is illustrated by a few examples.
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