Planar multiple-contact problems subject to unilateral and bilateral kinetic constraints with static Coulomb friction

2018 ◽  
Vol 94 (1) ◽  
pp. 99-121 ◽  
Author(s):  
Shuguang Ma ◽  
Tianshu Wang
Keyword(s):  
Coulomb Friction ◽  
Contact Problems

Modeling Abrasion Resistant Materials by Modeling Large Sliding Frictional Contact

2011 ◽  
Vol 110-116 ◽  
pp. 2888-2895
Author(s):  
Seyed Mohammad Jafar Taheri Mousavi ◽  
Seyedeh Mohadeseh Taheri Mousavi
Keyword(s):  
Penalty Method ◽  
Coulomb Friction ◽  
Extended Finite Element Method ◽  
Frictional Contact ◽  
Contact Problems ◽  
Shape Functions ◽  
Extended Finite Element ◽  
Coulomb Friction Law ◽  
Heaviside Enrichment ◽  
Enrichment Function

— In this paper, our goal is to simulate abrasion resistance material. We therefore need a robust algorithm to model this phenomenon which is a kind of large frictional contact problem. In order to reach to our aim, we have proposed a new method to impose contact constraints in eXtended Finite Element Method (XFEM) framework. In this algorithm, we have modeled large sliding contact problems by using the Node To Segment (NTS) concept. Furthermore, friction between two sliding interface has been modeled based on the Coulomb friction law. In addition, the penalty method which is the most convenient way of imposing non-penetration constraints has been employed. In our algorithm, new Lagrangian shape functions have been used to solve the problems of the conventional Heaviside enrichment function. Finally, a numerical simulation has been delivered to prove the accuracy and capability of our new algorithm.

scholarly journals A simple weak form for contact problems with Coulomb friction

2011 ◽  
Vol 33 (4) ◽  
pp. 259-282
Author(s):  
Nguyen Huynh Tan Tai ◽  
Le Van Anh
Keyword(s):  
Contact Problem ◽  
Coulomb Friction ◽  
Virtual Work ◽  
Contact Problems ◽  
Initial Boundary ◽  
Weak Form ◽  
The Finite Element Method ◽  
Virtual Work Principle ◽  
Statics And Dynamics ◽  
Initial Boundary Value

This paper proposes a weak form for the contact problem with Coulomb friction, written as extension of the standard virtual work principle and involving both the displacements and the multipliers defined on the reference contact surface. The mixed relationship is shown to be equivalent to the strong form of the initial/boundary value contact problem, and it can be discretized by means of the finite element method in a simple way. Typical numerical examples are given to assess the efficiency of the formulation in statics and dynamics.

scholarly journals An algorithm for the numerical realization of 3D contact problems with Coulomb friction

2004 ◽  
Vol 164-165 ◽  
pp. 387-408 ◽  
Author(s):  
Jaroslav Haslinger ◽  
Radek Kučera ◽  
Zdeněk Dostál
Keyword(s):  
Coulomb Friction ◽  
Contact Problems ◽  
Numerical Realization

Bifurcations in Contact Problems with Local Coulomb Friction

2008 ◽  
pp. 811-818 ◽  
Author(s):  
J. Haslinger ◽  
R. Kučera ◽  
O. Vlach
Keyword(s):  
Coulomb Friction ◽  
Contact Problems

3-D Contact problems for elastic wedges with Coulomb friction

2003 ◽  
Vol 27 (2) ◽  
pp. 193-220 ◽  
Author(s):  
Michael Bach ◽  
Dmitri Pozharskii
Keyword(s):  
Coulomb Friction ◽  
Contact Problems

Shape Optimization in Contact Problems with Coulomb Friction and a Solution-Dependent Friction Coefficient

2014 ◽  
Vol 52 (5) ◽  
pp. 3371-3400 ◽  
Author(s):  
P. Beremlijski ◽  
J. Haslinger ◽  
J. V. Outrata ◽  
R. Pathó
Keyword(s):  
Friction Coefficient ◽  
Shape Optimization ◽  
Coulomb Friction ◽  
Contact Problems
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