Existence for problems of viscoplastic contact with Coulomb friction
type: Item
instance of: scholarly article
title: Existence for problems of viscoplastic contact with Coulomb friction
zbMATH Open document ID: 1028.74039
DOI: 10.1155/S0161171202110179
author: A. Amassad
author: Caroline Fabre
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-01-13T00:00:00Z
full work available at URL: https://eudml.org/doc/50492
review text: Summary: We present existence results for nonlinear problem of frictional contact between an elastic-viscoplastic body and a rigid obstacle. We model the frictional contact both by a Tresca's friction law and by a regularized Coulomb's law. We assume that the contact is bilateral and that no separation takes place. We consider Signorini unilateral contact conditions. Proofs are based on a time-discretization method, and on Banach and Schauder fixed point theorems.
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74M10
Mathematics Subject Classification ID: 74G25
zbMATH DE Number: 1852896
zbMATH Keywords: existence
zbMATH Keywords: nonlinear frictional contact
zbMATH Keywords: elastic-viscoplastic body
zbMATH Keywords: rigid obstacle
zbMATH Keywords: Tresca's friction law
zbMATH Keywords: regularized Coulomb's law
zbMATH Keywords: Signorini unilateral contact conditions
zbMATH Keywords: time-discretization method
zbMATH Keywords: Schauder fixed point theorem
zbMATH Keywords: Banach fixed point theorem
MaRDI profile type: Publication
OpenAlex ID: W2036437094
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description: scientific article; zbMATH DE number 1852896