scholarly journals Quasistatic normal-compliance contact problem of visco-elastic bodies with Coulomb friction implemented by QP and SGBEM

2017 ◽  
Vol 315 ◽  
pp. 249-272 ◽  
Author(s):  
Roman Vodička ◽  
Vladislav Mantič ◽  
Tomáš Roubíček
Keyword(s):  
Contact Problem ◽  
Coulomb Friction ◽  
Normal Compliance ◽  
Elastic Bodies

On quasi-static contact problem with generalized Coulomb friction, normal compliance and damage

2015 ◽  
Vol 27 (4) ◽  
pp. 625-646 ◽  
Author(s):  
LESZEK GASIŃSKI ◽  
PIOTR KALITA
Keyword(s):  
Contact Problem ◽  
Coulomb Friction ◽  
Fixed Point Theory ◽  
Viscoelastic Body ◽  
The Body ◽  
Damage Effect ◽  
Contact Boundary ◽  
Normal Compliance ◽  
Friction Law ◽  
Static Contact

In this paper, we study a quasi-static frictional contact problem for a viscoelastic body with damage effect inside the body as well as normal compliance condition and multi-valued friction law on the contact boundary. The considered friction law generalizes Coulomb friction condition into multi-valued setting. The variational–hemi-variational formulation of the problem is derived and arguments of fixed point theory and surjectivity results for pseudo-monotone operators are applied, in order to prove the existence and uniqueness of solution.

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.

scholarly journals On the contact problem of layered elastic bodies

1967 ◽  
Vol 25 (3) ◽  
pp. 233-242 ◽  
Author(s):  
Ting-Shu Wu ◽  
Y. P. Chiu
Keyword(s):  
Contact Problem ◽  
Elastic Bodies
Sign in / Sign up

Export Citation Format

Share Document