Quasistatic elastic contact with adhesion
type: Item
instance of: scholarly article
title: Quasistatic elastic contact with adhesion
zbMATH Open document ID: 1233.74022
DOI: 10.1155/2011/686139
author: Boudjemaa Teniou
author: Sabrina Benferdi
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2012-03-08T00:00:00Z
review text: Summary: The aim of this paper is the variational study of the contact with adhesion between an elastic material and a rigid foundation in the quasistatic process where the deformations are supposed to be small. The behavior of this material is modelled by a nonlinear elastic law and the contact is modelled with Signorini's conditions and adhesion. The evolution of bonding field is described by a nonlinear differential equation. We derive a variational formulation of the mechanical problem, and we prove the existence and uniqueness of the weak solution using a theorem on variational inequalities, the theorem of Cauchy-Lipschitz, a lemma of Gronwall, as well as the fixed point of Banach.
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 6013258
Wikidata QID: Q58687899
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/686139
OpenAlex ID: W1998737191
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description: scientific article; zbMATH DE number 6013258