Solvability of a Nonclamped Frictional Contact Problem with Adhesion

O. Chau (), D. Goeleven () and R. Oujja ()
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O. Chau: PIMENT EA4518, University of La Réunion
D. Goeleven: PIMENT EA4518, University of La Réunion
R. Oujja: PIMENT EA4518, University of La Réunion

A chapter in Essays in Mathematics and its Applications, 2016, pp 71-87 from Springer

Abstract: Abstract In this paper, we study a class of dynamic thermal problems involving a frictional normal compliance adhesive contact model and a nonclamped condition for viscoelastic materials. The variational formulation of the problem leads to a general system defined by a second-order quasi-variational evolution inequality on the displacement field coupled with two firstorder evolution equations describing the adhesion and temperature fields. Our main result establishes an existence and uniqueness result of these fields.

Keywords: Contact Problem; Viscoelastic Material; Normal Compliance; Hemivariational Inequality; Frictional Contact Problem (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31338-2_4

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DOI: 10.1007/978-3-319-31338-2_4

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