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

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.

DYNAMIC CONTACT PROBLEMS WITH SMALL COULOMB FRICTION FOR VISCOELASTIC BODIES: EXISTENCE OF SOLUTIONS

1999 ◽  
Vol 09 (01) ◽  
pp. 11-34 ◽  
Author(s):  
J. JARUŠEK ◽  
C. ECK
Keyword(s):  
Contact Problem ◽  
Coulomb Friction ◽  
Existence Of Solutions ◽  
Contact Problems ◽  
Dynamic Contact ◽  
Contact Condition ◽  
Regularization Methods ◽  
Dynamic Contact Problem ◽  
The Coefficient Of Friction ◽  
Viscoelastic Bodies

The existence of solutions to the dynamic contact problem with Coulomb friction for viscoelastic bodies is proved with the use of penalization and regularization methods. The contact condition, which describes the nonpenetrability of mass, is formulated in velocities. The coefficient of friction may depend on the solution but is assumed to be bounded by a certain constant.

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