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.

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.

scholarly journals Discussion: “A Paradox in Sliding Contact Problems With Friction” (Adams, G. G., Barber, J. R., Ciavarella, M., and Rice, J. R., 2005, ASME J. Appl. Mech., 72, pp. 450–452)

2006 ◽  
Vol 73 (5) ◽  
pp. 884-886 ◽  
Author(s):  
D. A. Hills ◽  
A. Sackfield ◽  
C. M. Churchman
Keyword(s):  
Coulomb Friction ◽  
Contact Problems ◽  
Real Problem ◽  
Sliding Velocity ◽  
Slip Direction ◽  
Relative Slip ◽  
Yield Zone ◽  
Linear Elastic ◽  
Interesting Paper ◽  
Coulomb Friction Law

In this interesting paper, the authors address an anomaly which arises when a rigid, square-ended block is pressed against a linear elastic half plane and slid along. The authors note that, within the framework of linear elasticity, the singularity in the contact pressure, and hence shearing traction, produces, adjacent to the edges, regimes in which the implied local relative slip direction dominates the rigid-body sliding velocity, and hence produces a violation of the Coulomb friction law. They seek to resolve the paradox by appealing to a more sophisticated strain definition. All of this is within the context of a quasistatic formulation. The authors recognize, of course, that in any real problem the paradox is unlikely to arise because of (a) the finite strength of the contact giving rise to a yield zone, and (b) the absence of an atomically sharp corner at the contact edge where there is, in all probability, a finite edge radius. Here, we wish to address these issues quantitatively, and so demonstrate that it is unlikely that the paradox described, though interesting, will have any bearing in a real contact.

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