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Asymptotic analysis and boundary homogenization in linear elasticity

✍ Scribed by M. El Jarroudi; A. Addou; A. Brillard

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 211 KB
Volume: 23
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(20000510)23:7<655::aid-mma136>3.0.co;2-1

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✦ Synopsis

We describe the asymptotic behaviour of the solution of a linear elastic problem posed in a domain of 1, with homogeneous Dirichlet boundary conditions imposed on small zones of size less than distributed on the boundary of this domain, when the parameter goes to 0. We use epi-convergence arguments in order to establish this asymptotic behaviour. We then specialize this general situation to the case of identical strips of size r C -periodically distributed on the lateral surface of an axisymmetric body. We exhibit a critical size of the strips through the limit of the non-negative quantity !1/( ln r C

) and we identify the di!erent limit problems according to the values of this limit.

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