Variational and numerical analysis of a frictionless contact problem for elastic-viscoplastic materials with internal state variables

J. R Fernández; W Han; M Sofonea; J. M Viaño

doi:10.1093/qjmam/54.4.501

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Variational and numerical analysis of a frictionless contact problem for elastic-viscoplastic materials with internal state variables

Journal article

Open access

Peer reviewed

Variational and numerical analysis of a frictionless contact problem for elastic-viscoplastic materials with internal state variables

J. R Fernández, W Han, M Sofonea and J. M Viaño

Quarterly journal of mechanics and applied mathematics, Vol.54(4), pp.501-522

2001

DOI: 10.1093/qjmam/54.4.501

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Abstract

We consider a quasistatic frictionless contact problem between a deformable body and a foundation. The material is assumed to have a nonlinear behaviour that we model with a rate‐type viscoplastic constitutive law involving internal state variables. The contact is modelled with normal compliance. We present a variational formulation of the problem and prove the existence and uniqueness of the weak...

Details

Title: Subtitle: Variational and numerical analysis of a frictionless contact problem for elastic-viscoplastic materials with internal state variables
Creators: J. R Fernández
W Han
M Sofonea
J. M Viaño
Resource Type: Journal article
Publication Details: Quarterly journal of mechanics and applied mathematics, Vol.54(4), pp.501-522
DOI: 10.1093/qjmam/54.4.501
ISSN: 0033-5614
eISSN: 1464-3855
Language: English
Date published: 2001
Academic Unit: Mathematics
Record Identifier: 9983985983002771

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