A multiscale contact homogenization technique for the modeling of third bodies in the contact interface

Computer Methods in Applied Mechanics and Engineering

Volumn 198, Issue 3-4, 2008, Pages 377-396

  Temizer, I ^a   Wriggers, P ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

Contact; Homogenization; Micromechanics; Multiscale analysis

Indexed keywords

BOUNDARY VALUE PROBLEMS; FRICTION; HOMOGENIZATION METHOD; THEOREM PROVING;

ADAPTIVE DYNAMICS; COEFFICIENT OF FRICTIONS; CONTACT; CONTACT ELEMENTS; CONTACT INTERFACES; DYNAMIC EFFECTS; DYNAMIC NATURES; ELASTIC SOLIDS; FINITE ELEMENTS; HOMOGENIZATION; HOMOGENIZATION TECHNIQUES; MULTISCALE; MULTISCALE ANALYSES; MULTISCALE ANALYSIS; NORMAL FORCES; RANDOM ARRANGEMENTS; RIGID PARTICLES; RIGID SURFACES; TANGENTIAL FORCES; THIRD BODIES; TIME AVERAGING;

MACROS;

EID: 55649101176     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.08.008     Document Type: Article

References (38)

1. Bakhvalov N., and Panasenko G. Homogenisation: Averaging Processes in Periodic Media (1989), Kluwer, Dordrecht
2. Bandeira A.A., Wriggers P., and Pimenta P. Numerical derivation of contact mechanics interface laws using a finite element approach for large 3D deformation. Int. J. Numer. Meth. Engrg. 59 (2004) 173-195
3. Berthier Y., Descartes S., Busquet M., Niccolini E., Desrayaud C., Baillet L., and Baietto-Dubourg M. The role and effects of the third body in the wheel-rail interaction. Fatigue Fract. Engrg. Mater. Struct. 27 (2004) 423-436
4. Bucher F., Dmitriev A.I., Ertz M., Knothe K., Popov V.L., Psakhie S.G., and Shilko E.V. Multiscale simulation of dry friction in wheel/rail contact. Wear 261 (2006) 874-884
5. 2 multiscale approach for modelling the elastoviscoplastic behavior of long fibre SiC/Ti composite materials. Computer Meth. Appl. Mech. Engrg. 183 (2000) 309-330
6. Hager C., Hüeber S., and Wohlmuth B.I. A stable energy-conserving approach for frictional contact problems based on quadrature formulas. Int. J. Numer. Meth. Engrg. 73 (2008) 205-225
7. Haraldsson A., and Wriggers P. A strategy for numerical testing of friction laws with application to contact between soil and concrete. Computer Meth. Appl. Mech. Engrg. 190 (2000) 963-977
8. Hofstetter K., Grohs C., Eberhardsteiner J., and Mang H.A. Sliding behavior of simplified tire tread patterns investigated by means of FEM. Comput. Struct. 84 (2006) 1151-1163
9. Holzapfel G.A. Nonlinear Solid Mechanics: A Continuum Approach for Engineering (2001), Wiley, Chichester
10. Horner D.A., Peters J.J., and Carrillo A. Large scale discrete element modeling of vehicle-solid interaction. J. Engrg. Mech. 127 (2001) 1027-1032
11. Huemer T., Liu W.N., Eberhardstenier J., and Mang H.A. A 3D finite element formulation describing the frictional behavior of rubber on ice and concrete surfaces. Engrg. Comput. 18 3/4 (2001) 417-436
12. Iordanoff I., Berthier Y., Descartes S., and Heshmat H. A review of recent approaches for modeling solid third bodies. J. Tribol. 124 (2002) 725-735
13. Iordanoff I., Seve B., and Berthier Y. Solid third body analysis using a discrete approach: influence of adhesion and particle size on macroscopic properties. Trans. ASME 124 (2002) 530-538
14. Khenous H.B., Laborde P., and Renard Y. Comparison of two approaches for the discretization of elastodynamic contact problems. Comptes Rendus de l'Académie des Sciences Paris 342 (2006) 791-796
15. Klüppel M., and Heinrich G. Rubber friction on self-affine road tracks. Rubber Chem. Technol. 73 (2000) 578-606
16. V. Kouznetsova, Computational homogenization for the multi-scale analysis of multi-phase materials, PhD thesis, Technische Universiteit Eindhoven, Eindhoven, Netherlands, 2002.
17. Kouznetsova V., Brekelmans W.A.M., and Baaijens F.P.T. An approach to micro-macro modeling of heterogeneous materials. Comput. Mech. 27 (2001) 37-48
18. Kuster M.S., Podsiadlo P., and Stachowiak G.W. Shape of wear particles found in human knee joints and their relationship to osteoarthritis. Brit. J. Rheumatol. 37 (1998) 978-984
19. Laursen T.A. Computational Contact and Impact Mechanics (2006), Springer, Berlin Heidelberg, New York
20. Mack C., and Rubenstein C. The effective coefficient of friction for strings traversing cylinders transversely and slantwise. Brit. J. Appl. Phys. 9 (1958) 247-249
21. Miehe C. Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy. Comput. Meth. Appl. Mech. Eng. 192 (2003) 559-591
22. Munjiza A. Combined Finite-Discrete Element Method (2004), Wiley, Chichester
23. Nakashima H., and Oida A. Algorithm and implementation of soil-tire contact analysis code based on dynamic FE-DE method. J. Terramech. 41 (2004) 127-137
24. S. Nemat-Nasser, M. Hori, Micromechanics: Overall Properties of Heterogeneous Materials, second ed., North-Holland, Amsterdam, 1999.
25. J. Nettingsmeier, P. Wriggers, Frictional contact of rubber on rough surfaces. In: GAMM Annual Meeting (March 27th-March 31st, 2006), Technische Universität Berlin, 2006.
26. J. Orlik, Homogenization for contact problems with periodically rough surfaces, Technical Report, Fraunhofer Institut Techno-und Wirtschaftsmathematik (available online via the institute website), 2004.
27. Orlik J., Zhurov A., and Middleton J. On the secondary stability of coated cementless hip replacement: parameters that affect interface strength. Med. Engrg. Phys. 10 (2003) 825-831
28. Peng Z. Osteoarthritis diagnosis using wear particle analysis technique: Investigation of correlation between particle and cartilage surface in walking process. Wear 262 (2007) 630-640
29. Persson B.N.J. Theory of rubber friction and contact mechanics. J. Chem. Phys. 115 8 (2001) 3840-3861
30. Pöschel T., and Schwager T. Computational Granular Dynamics: Models and Algorithms (2005), Springer, Berlin Heidelberg, New York
31. Smit R.J.M., Brekelmans W.A.M., and Meijer H.E.H. Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling. Computer Meth. Appl. Mech. Engrg. 155 (1998) 181-192
32. Stupkiewicz S. Micromechanics of Contact and Interface Layers (2007), Springer, Berlin Heidelberg, New York
33. I. Temizer, P. Wriggers, On the computation of the macroscopic tangent for multiscale volumetric homogenization problems, Comput. Meth. Appl. Eng. (2008), in press, doi:10.1016/j.cma.2008.08.018.
34. Temizer I., and Zohdi T.I. A numerical method for homogenization in non-linear elasticity. Computat. Mech. 40 (2007) 281-298
35. Torquato S. Random Heterogeneous Materials: Microstructure and Macroscopic Properties (2002), Springer, Berlin Heidelberg, New York
36. Tworzydlo W.W., Cecot W., Oden J.T., and Yew C.H. Computational micro- and macroscopic models of contact and friction: Formulation, approach, applications. Wear 220 (1998) 113-140
37. Wriggers P. Computational Contact Mechanics. second ed. (2006), Springer, Berlin Heidelberg, New York
38. Zohdi T.I., and Wriggers P. Introduction to Computational Micromechanics (2005), Springer, Berlin Heidelberg, New York