A quasistatic contact problem for viscoelastic materials with slip-dependent friction and time delay
type: Item
instance of: scholarly article
title: A quasistatic contact problem for viscoelastic materials with slip-dependent friction and time delay
zbMATH Open document ID: 1264.74028
DOI: 10.1155/2012/396745
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: A mathematical model which describes an explicit time-dependent quasistatic frictional contact problem between a deformable body and a foundation is introduced and studied, in which the contact is bilateral, the friction is modeled with Tresca's friction law with the friction bound depending on the total slip, and the behavior of the material is described with a viscoelastic constitutive law with time delay. The variational formulation of the mathematical model is given as a quasistatic integro-differential variational inequality system. Based on arguments of the time-dependent variational inequality and Banach's fixed point theorem, an existence and uniqueness of the solution for the quasistatic integro-differential variational inequality system is proved under some suitable conditions. Furthermore, the behavior of the solution with respect to perturbations of time-delay term is considered and a convergence result is also given.
Mathematics Subject Classification ID: 74D10
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74M10
zbMATH DE Number: 6173250
Wikidata QID: Q58911525
author: Si-Sheng Yao
author: Nan-Jing Huang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/396745
OpenAlex ID: W2129893189
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description: scientific article; zbMATH DE number 6173250