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Asymptotic analysis of a thin-layer device with Tresca's contact law in elasticity

✍ Scribed by G. Bayada; M. Chambat; K. Lhalouani


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
198 KB
Volume
22
Category
Article
ISSN
0170-4214

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✦ Synopsis


In this paper, we consider a thin elastic layer between a rigid body and an elastic one. A Tresca law is assumed between the two elastic bodies. The LameH coe$cients of the thin layer are assumed to vary with respect to its height . This dependence is shown to be of primary importance in the asymptotic behaviour of the device, a critical case leading to a non-classical contact law when deleting the bond.


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## Communicated by B. Brosowski We study the limit behaviour of solution of Poisson's equation in a class of thin two-dimensional domains, both simply connected or single-hollowed, as its thickness becomes very small. The method is based on a transformation of the original problem into another pos