Author:
Letoufa Yassine,Benseridi Hamid,Boulaaras Salah,Dilmi Mourad
Abstract
AbstractThe quasistatic problem of a viscoelastic body in a three-dimensional thin domain with Tresca’s friction law is considered. The viscoelasticity coefficients and data for this system are assumed to vary with respect to the thickness ε. The asymptotic behavior of weak solution, when ε tends to zero, is proved, and the limit solution is identified in a new data system. We show that when the thin layer disappears, its traces form a new contact law between the rigid plane and the viscoelastic body. In which case, a generalized weak form equation is formulated, the uniqueness result for the limit problem is also proved.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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