scholarly journals On dynamic contact problem with generalized Coulomb friction, normal compliance and damage

2020 ◽  
Vol 9 (4) ◽  
pp. 1009-1026
Author(s):  
Leszek Gasiński ◽  
◽  
Piotr Kalita ◽  
Keyword(s):  
Contact Problem ◽  
Coulomb Friction ◽  
Dynamic Contact ◽  
Normal Compliance ◽  
Dynamic Contact Problem

Analysis of a dynamic frictional contact problem for hyperviscoelastic material with non-convex energy density

2017 ◽  
Vol 23 (3) ◽  
pp. 359-391 ◽  
Author(s):  
Mikaël Barboteu ◽  
Leszek Gasiński ◽  
Piotr Kalita
Keyword(s):  
Contact Problem ◽  
Coulomb Friction ◽  
Frictional Contact ◽  
Tangential Velocity ◽  
Dynamic Contact ◽  
Contact Boundary ◽  
Dynamic Contact Problem ◽  
Monotone Dependence ◽  
Coulomb Friction Law ◽  
Stored Elastic Energy

Using the time approximation method we obtain the existence of a weak solution for the dynamic contact problem with damping and a non-convex stored elastic energy function. On the contact boundary we assume the normal compliance law and the generalization of the Coulomb friction law which allows for non-monotone dependence of the friction force on the tangential velocity. The existence result is accompanied by two numerical examples, one of them showing lack of uniqueness for the numerical solution.

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.

scholarly journals Numerical solution of the dynamic contact problem of elasto-plastic bodies

2018 ◽  
pp. 1-31
Author(s):  
Mikhail Pavlovich Galanin ◽  
Nikolay Nikolaevich Proshunin ◽  
Aleksandr Sergeevich Rodin
Keyword(s):  
Contact Problem ◽  
Numerical Solution ◽  
Dynamic Contact ◽  
Dynamic Contact Problem

A TRANSIENT DYNAMIC CONTACT PROBLEM IN THREE DIMENSIONS

1994 ◽  
Vol 05 (02) ◽  
pp. 215-217
Author(s):  
T.Y. Fan ◽  
H.G. Hahn ◽  
A. Voigt
Keyword(s):  
Contact Problem ◽  
Contact Stress ◽  
Dynamic Stress ◽  
Three Dimensional ◽  
Dynamic Contact ◽  
Three Dimensions ◽  
Dynamic Contact Problem ◽  
Transient Dynamic ◽  
Elliptic Region ◽  
Contact Displacement

In this study a three-dimensional transient dynamic contact problem is solved, and a theorem relating the contact stress and displacement over an elliptic region is proved. Numerical results for the contact displacement-time variation clearly demonstrate the effect of inertia induced by the dynamic stress.

Sign in / Sign up

Export Citation Format

Share Document