Modeling Abrasion Resistant Materials by Modeling Large Sliding Frictional Contact

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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.

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2888-2895

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October 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] H. Ji, J.E. Dolbow, On strategies for enforcing interfacial constraints and evaluating jump conditions with the extended finite element method, J Numerical Methods in Engineering, vol. 61, pp.2508-2535, (2004).

DOI: 10.1002/nme.1167

Google Scholar

[2] Nistor, M.L.E. Guiton., P. Massin, N. Moes and S. G´eniaut, An X-FEM approach for large sliding contact along discontinuities, J Numerical Methods in Engineering, vol. 78, pp.1407-1435, (2009).

DOI: 10.1002/nme.2532

Google Scholar

[3] N. Moes, E. Bechet, and M. Tourbier, Imposing Dirichlet boundary conditions in the extended finite element method,. J Numerical Methods in Engineering, vol. 67, p.641–1669, (2006).

DOI: 10.1002/nme.1675

Google Scholar

[4] Eric Bechet, N. Moes and B. Wohlmuth, A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method, J Numerical Methods in Engineering, vol 78, p.931–954, (2009).

DOI: 10.1002/nme.2515

Google Scholar

[5] J. Dolbow, N. Moes, T. Belytschko, An extended finite element method for modeling crack growth with frictional contact, Comput. Methods Appl. Mech. Eng., vol 190, p.6825–6846, (2001).

DOI: 10.1016/s0045-7825(01)00260-2

Google Scholar

[6] A.R. Khoei, S. Keshavarz, A.R. Khaloo, Modeling of large deformation frictional contact in powder compaction processes, Applied Mathematical modeling, vol 32, pp.775-801, (2008).

DOI: 10.1016/j.apm.2007.02.017

Google Scholar

[7] A.R. Khoei , S.O.R. Biabanaki, M. Anahid, A Lagrangian-extended finite-element method in modeling large-plasticity deformations and contact problems, Mechanical Sciences, vol 51, pp.384-401, (2009).

DOI: 10.1016/j.ijmecsci.2009.03.012

Google Scholar

[8] C. Daux, N. Moes, J. Dolbow, N. Sukumar, T. Belytschko, Arbitrary branched and interesting cracks with the extended finite element methods, Numerical Methods in Engineering, vol 48, pp.1741-1760, (2000).

DOI: 10.1002/1097-0207(20000830)48:12<1741::aid-nme956>3.0.co;2-l

Google Scholar

[9] A.R. Khoei , S.M. Taheri Mousavi, Modeling of large deformation – Large sliding contact via the penalty X-FEM technique, Computational Materials Science, vol 48, pp.471-480, (2010).

DOI: 10.1016/j.commatsci.2010.02.008

Google Scholar