Inelastic analysis of granular interfaces via computational contact homogenization

International Journal for Numerical Methods in Engineering

Volumn 84, Issue 8, 2010, Pages 883-915

  Temizer, I ^a   Wriggers, P ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

Contact homogenization; Effective coefficient of friction; Granular media

Indexed keywords

BODY CONTACTS; COEFFICIENT OF FRICTIONS; COMPUTATIONAL SETTINGS; CONTACT HOMOGENIZATION; CONTACT INTERFACE; CONTACT PROBLEM; COULOMB TYPE; DEFORMABLE BODIES; DISSIPATION MECHANISM; FRICTIONAL INTERACTIONS; GRANULAR MEDIA; HETEROGENEOUS INTERFACES; INELASTIC ANALYSIS; LOCALIZED DEFORMATIONS; MACRO SCALE; MACROSCOPIC DYNAMICS; MICRO-MACRO APPROACH; MICRO-SCALES; MICROSCALE DYNAMICS; MOBILE PARTICLE; MULTISCALES; RIGID SURFACES; TEMPORAL SCALE; VISCOELASTIC BOUNDARY;

ATMOSPHERIC BOUNDARY LAYER; DEFORMATION; GRANULAR MATERIALS; SUGAR INDUSTRY; TRIBOLOGY;

FRICTION;

EID: 78049236992     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2921     Document Type: Article

References (53)

1. Berthier Y, Descartes S, Busquet M, Niccolini E, Desrayaud C, Baillet L, Baietto-Dubourg M. The role and effects of the third body in the wheel-rail interaction. Fatigue and Fracture of Engineering Materials and Structures 2004; 27:423-436.
2. Rabinowicz E. Friction and Wear of Materials (2nd edn). Wiley: New York, 1995.
3. Hwang DH, Kim DE, Lee SJ. Influence of wear particle interaction in the sliding interface on friction of metals. Wear 1999; 225-229:427-439.
4. Khonsari MM, Booser ER. Applied Tribology: Bearing Design and Lubrication. Wiley: New York, 2001.
5. Kasai T, Bhushan B. Physics and tribology of chemical mechanical planarization. Journal of Physics: Condensed Matter 2008; 29:225011-1-225011-13.
6. Yi J. On the wafer/pad friction of chemical-mechanical planarization (CMP) processes-part I: modeling and analysis. IEEE Transactions on Semiconductor Manufacturing 2005; 18(3):359-370.
7. Yi J. On the wafer/pad friction of chemical-mechanical planarization (CMP) processes-part II: experiments and applications. IEEE Transactions on Semiconductor Manufacturing 2005; 18(3):371-383.
8. Iordanoff I, Berthier Y, Descartes S, Heshmat H. A review of recent approaches for modeling solid third bodies. Journal of Tribology 2002; 124:725-735.
9. Iordanoff I, Khonsari MM. Granular lubrication: towards an understanding of the transition between kinetic and quasi-fluid regime. Journal of Tribology 2004; 126:137-145.
10. Flannery M, McGloughlin T, Jones E, Birkinshaw C. Analysis of wear and friction of total knee replacements-part I: wear assessment on a three station wear simulator. Wear 2008; 265:999-1008.
11. Ash HE, Scholes SC, Unsworth A, Jones E. The effect of bone cement particles on the friction of polyethylene and polyurethane knee bearings. Physics in Medicine and Biology 2004; 49:3413-3425.
12. Bucher F, Dmitriev AI, Ertz M, Knothe K, Popov VL, Psakhie SG, Shilko EV. Multiscale simulation of dry friction in wheel/rail contact. Wear 2006; 261:874-884.
13. Klein-Paste A. Runway operability under cold weather conditions. Ph.D. Thesis, Norwegian University of Science and Technology, Trondheim, Norway, 2007.
14. Loo-Morrey M. Dry contaminants scoping study (report no. hsl/2006/23). Technical Report, Tribology Research Lab, University of Sheffield (available online via the institute website), 2006.
15. Pöschel T, Schwager T. Computational Granular Dynamics: Models and Algorithms. Springer: Berlin, Heidelberg, New York, 2005.
16. Fervers CW. Improved FEM simulation model for tire-soil interaction. Journal of Terramechanics 2004; 41:87-100.
17. Horner DA, Peters JJ, Carrillo A. Large scale discrete element modeling of vehicle-solid interaction. Journal of Engineering Mechanics 2001; 127:1027-1032.
18. Iordanoff I, Seve B, Berthier Y. Solid third body analysis using a discrete approach: influence of adhesion and particle size on macroscopic properties. Transactions of the ASME 2002; 124:530-538.
19. Iordanoff I, Fillot N, Berthier Y. Numerical study of a thin layer of cohesive particles under plane shearing. Powder Technology 2005; 159:46-54.
20. Fillot N, Iordanoff I, Berthier Y. A granular dynamic model for the degradation of material. Tribology, Transactions of the ASME 2004; 126:606-614.
21. Fillot N, Iordanoff I, Berthier Y. Simulation of wear through mass balance in a dry contact. Tribology, Transactions of the ASME 2005; 127:230-237.
22. Schargott M, Popov VL, Dimitriev AI, Psakhie SG. Development of surface topography for the rail-wheel contact. Wear 2008; 265:1542-1548.
23. Nakashima H, Oida A. Algorithm and implementation of soil-tire contact analysis code based on dynamic FE-DE method. Journal of Terramechanics 2004; 41:127-137.
24. Coveney VA, Menger C. Behavior of model abrasive particles between a sliding elastomer surface and a steel counterface. Wear 2000; 240:72-79.
25. Temizer I., Wriggers P. A multiscale contact homogenization technique for the modeling of third bodies in the contact interface. Computer Methods in Applied Mechanics and Engineering 2008; 198:377-396.
26. Klüppel M, Heinrich G. Rubber friction on self-affine road tracks. Rubber Chemistry and Technology 2000; 73:578-606.
27. Persson BNJ. Theory of rubber friction and contact mechanics. Journal of Chemical Physics 2001; 115(8):3840-3861.
28. Wriggers P, Reinelt J. Multi-scale approach for frictional contact of elastomers on rough rigid surfaces. Computer Methods in Applied Mechanics and Engineering 2009; 198:1996-2008.
29. Heinrich G, Klüppel M. Rubber friction, tread deformation and tire traction. Wear 2008; 256:1052-1060.
30. Maugin GA. The Thermomechanics of Nonlinear Irreversible Behaviors. World Scientific: Singapore, 1999.
31. Wriggers P. Computational Contact Mechanics (2nd edn). Springer: Berlin, Heidelberg, New York, 2006.
32. Laursen TA. Computational Contact and Impact Mechanics. Springer: Berlin, Heidelberg, New York, 2006.
33. Göktepe S. Micro-macro approaches to rubbery and glassy polymers: predictive micromechanically-based models and simulations. Ph.D. Thesis, Universität Stuttgart, Stuttgart, Germany, 2007.
34. Sidoroff F. Un modèle viscoélastique non linéaire avec configuration intermédiaire. Journal de Mécanique 1974; 13(4):679-713.
35. Simo JC. On a fully three-dimensional finite-strain viscoelastic damage model formulation and computational aspects. Computer Methods in Applied Mechanics and Engineering 1987; 60:153-173.
36. Govindjee S, Simo JC. Mullins' effect and the strain amplitude dependence of the storage modulus. International Journal of Solids and Structures 1992; 29(14/15):1737-1751.
37. Reese S, Govindjee S. A theory of finite viscoelasticity and numerical aspects. International Journal of Solids and Structures 1998; 35(26-27):3455-3482.
38. Lion A. A constitutive model for carbon black filled rubber: experimental investigations and mathematical representation. Continuum Mechanics and Thermodynamics 1996; 8:153-169.
39. Miehe C, Keck J. Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers: experiments, modelling and algorithmic implementation. Journal of the Mechanics and Physics of Solids 2000; 48:323-365.
40. Lin RC, Schomburg U. A finite elastic-viscoelastic-elastoplastic material law with damage: theoretical and numerical aspects. Computer Methods in Applied Mechanics and Engineering 2003; 192:1591-1627.
41. Miehe C, Göktepe S. A micro-macro approach to rubber-like materials. Part II: the micro-sphere model of finite rubber viscoelasticity. Journal of the Mechanics and Physics of Solids 2005; 53:2231-2258.
42. Govindjee S, Reese S. A presentation and comparison of two large deformation viscoelasticity models. Journal of Engineering Materials and Technology 1997; 119:251-255.
43. Reese S, Govindjee S. Theoretical sand numerical aspects in the thermo-viscoelastic material behavior of rubber-like polymers. Mechanics of Time-dependent Materials 1998; 1:357-396.
44. Kröner E. Allgemeine kontinuumstheorie der versetzungen und eigenspannungen. Archive for Rational Mechanics and Analysis 1960; 4:273-334.
45. Christensen RM. Theory of Viscoelasticity (2nd edn). Dover: Berlin, 2003.
46. Göktepe S, Miehe C. A micro-macro approach to rubber-like materials. Part III: the micro-sphere model of anisotropic Mullins-type damage. Journal of the Mechanics and Physics of Solids 2005; 53:2259-2283.
47. Huet C. Application of variational concepts to size effects in elastic heterogeneous bodies. Journal of the Mechanics and Physics of Solids 1990; 38(6):813-841.
48. Simo JC. Numerical analysis and simulation of plasticity. In Handbook of Numerical Analysis, Ciarlet PG, Lions JL (eds), vol. VI. Elsevier: Amsterdam, 1998.
49. Marckmann G, Verron E. Comparison of hyperelastic models for rubber-like materials. Rubber Chemistry and Technology 2006; 79(5):835-858.
50. Miehe C, Göktepe S, Lulei F. A micro-macro approach to rubber-like materials. Part I: the non-affine micro-sphere model of rubber elasticity. Journal of the Mechanics and Physics of Solids 2004; 52:2617-2660.
51. Hairer E, Nørsett SP, Wanner G. Solving Ordinary Differential Equations I: Nonstiff Problems (2nd edn). Springer: Berlin, Heidelberg, New York, 2000.
52. Hughes TJR. The Finite Element Method. Dover: New York, 2000.
53. Simo JC, Miehe C. Associative coupled thermoplasticity at finite strains: formulation, numerical analysis and implementation. Computer Methods in Applied Mechanics and Engineering 1992; 98:41-104.