scholarly journals BILATERAL CONTACT PROBLEM WITH FRICTION AND WEAR FOR AN ELECTRO ELASTIC-VISCOPLASTIC MATERIALS WITH DAMAGE

2015 ◽  
Vol 19 (4) ◽  
pp. 1161-1182
Author(s):  
Abdelmoumene Djabi ◽  
Abdelbaki Merouani
Keyword(s):  
Contact Problem ◽  
Friction And Wear ◽  
Bilateral Contact

scholarly journals An analytical and numerical approach to a bilateral contact problem with nonmonotone friction

2013 ◽  
Vol 23 (2) ◽  
pp. 263-276 ◽  
Author(s):  
Mikaël Barboteu ◽  
Krzysztof Bartosz ◽  
Piotr Kalita
Keyword(s):  
Contact Problem ◽  
Frictional Contact ◽  
Numerical Approach ◽  
Bundle Method ◽  
Nonconvex Problem ◽  
Proximal Bundle Method ◽  
Loss Of Contact ◽  
The Galerkin Method ◽  
Bilateral Contact ◽  
Numerical Approaches

We consider a mathematical model which describes the contact between a linearly elastic body and an obstacle, the so-called foundation. The process is static and the contact is bilateral, i.e., there is no loss of contact. The friction is modeled with a nonmotonone law. The purpose of this work is to provide an error estimate for the Galerkin method as well as to present and compare two numerical methods for solving the resulting nonsmooth and nonconvex frictional contact problem. The first approach is based on the nonconvex proximal bundle method, whereas the second one deals with the approximation of a nonconvex problem by a sequence of nonsmooth convex programming problems. Some numerical experiments are realized to compare the two numerical approaches.

Multiple Solutions in Dynamic Contact Problems With Friction

2003 ◽  
Author(s):  
Yuri Kligerman
Keyword(s):  
Contact Problem ◽  
Friction And Wear ◽  
Contact Problems ◽  
Dynamic Contact ◽  
Sliding Velocity ◽  
Dynamic Contact Problem ◽  
Static Contact ◽  
Essential Parameter ◽  
Perturbation Frequency ◽  
The Difference

A frictional force resists the relative motion of the two surfaces. An understanding of the difference between static and dynamic contact with friction can lead to methods, which reduce friction and wear. The main goal of the present work is to evaluate the various solutions for the dynamic contact problem with friction and to compare theirs with the solution of the static contact problem. Another goal of the present work is to clarify whether the perturbation of some problem parameters during sliding with time can lead to the difference between solutions of the static and dynamic contact problems with friction. The essential parameter determining friction is the number of asperities in contact. The number of asperities in contact changes as a consequence of the wear. As follows from the classical wear models the perturbation frequency of the number of asperities in contact depends on the sliding velocity. The model of dynamic contact with friction based on the perturbation of the number of asperities in contact, along with the alternative models, is discussed in the present work.

scholarly journals A bilateral contact problem with adhesion and damage between two viscoelastic bodies

2016 ◽  
Vol 09 (03) ◽  
pp. 1216-1229
Author(s):  
Ammar Derbazi ◽  
Souida Boukrioua ◽  
Mohamed Dalah ◽  
Adel Aissaoui ◽  
Allaoua Boudjedour ◽  
...  
Keyword(s):  
Contact Problem ◽  
Bilateral Contact ◽  
Viscoelastic Bodies

A dynamic thermoviscoelastic contact problem with friction and wear

1997 ◽  
Vol 35 (14) ◽  
pp. 1291-1309 ◽  
Author(s):  
Kevin T. Andrews ◽  
M. Shillor ◽  
S. Wright ◽  
A. Klarbring
Keyword(s):  
Contact Problem ◽  
Friction And Wear
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