scholarly journals A dynamic viscoelastic contact problem with normal compliance

2015 ◽  
Vol 276 ◽  
pp. 30-46 ◽  
Author(s):  
J.R. Fernández ◽  
D. Santamarina
Keyword(s):  
Contact Problem ◽  
Normal Compliance ◽  
Viscoelastic Contact

A dynamic viscoelastic contact problem with normal compliance and damage

2005 ◽  
Vol 42 (1) ◽  
pp. 1-24 ◽  
Author(s):  
M. Campo ◽  
J.R. Fernández ◽  
W. Han ◽  
M. Sofonea
Keyword(s):  
Contact Problem ◽  
Normal Compliance ◽  
Viscoelastic Contact

A regularization method for a viscoelastic contact problem

2016 ◽  
Vol 23 (2) ◽  
pp. 181-194
Author(s):  
Flavius Pătrulescu
Keyword(s):  
Mathematical Model ◽  
Contact Problem ◽  
Variational Inequalities ◽  
Long Memory ◽  
Regularization Method ◽  
Viscoelastic Body ◽  
Constitutive Law ◽  
Normal Compliance ◽  
Viscoelastic Contact

We consider a mathematical model which describes the quasistatic contact between a viscoelastic body and a deformable obstacle, the so-called foundation. The material’s behaviour is modelled with a viscoelastic constitutive law with long memory. The contact is frictionless and is defined using a multivalued normal compliance condition. We present a regularization method in the study of a class of variational inequalities involving history-dependent operators. Finally, we apply the abstract results to analyse the contact problem.

A piezoelectric contact problem with slip dependent friction and damage

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Abderrezak Kasri
Keyword(s):  
Weak Solution ◽  
Contact Problem ◽  
Dry Friction ◽  
Existence And Uniqueness ◽  
Variational Formulation ◽  
Normal Compliance ◽  
Electrically Conductive ◽  
Coulomb’S Law ◽  
Electrical Condition ◽  
Coulomb's Law

Abstract The aim of this paper is to study a quasistatic contact problem between an electro-elastic viscoplastic body with damage and an electrically conductive foundation. The contact is modelled with an electrical condition, normal compliance and the associated version of Coulomb’s law of dry friction in which slip dependent friction is included. We derive a variational formulation for the model and, under a smallness assumption, we prove the existence and uniqueness of a weak solution.

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