Non-local and numerical formulations for dry sliding friction and wear at high velocities

International Journal of Plasticity

Volumn 27, Issue 7, 2011, Pages 1004-1024

  Lodygowski, A ^a   Voyiadjis, G Z ^b   Deliktas, B ^c   Palazotto, A ^d  

^a POZNAN UNIVERSITY OF TECHNOLOGY   (Poland)

^b LOUISIANA STATE UNIVERSITY   (United States)

^c MUSTAFA KEMAL UNIVERSITY   (Turkey)

^d Air Force Institute of Technology   (United States)

Author keywords

Friction; Gradient; Non local; Plasticity

Indexed keywords

BULK MATERIALS; CONSTITUTIVE BEHAVIORS; CONTACT INTERFACE; CONTACT STRESS; CONTINUUM PLASTICITY; DESIGN COMPONENT; DISSIPATION POTENTIAL; DRY SLIDING FRICTION; ENGINEERING APPLICATIONS; EXPERIMENTAL APPROACHES; EXPLICIT FINITE ELEMENT CODES; FRICTION AND WEAR; FRICTIONAL CONTACT; GRADIENT; HIGH TEMPERATURE; HIGH VELOCITY; HYDRO CODES; INTERNAL FAILURE; INTERNAL STATE VARIABLES; MATERIAL MODELS; MICRO MOTION; MULTISCALES; NON-LOCAL; NUMERICAL FORMULATION; NUMERICAL PROCEDURES; PHYSICAL BEHAVIORS; POTENTIAL FEATURES; RESEARCH EFFORTS; STATE LAWS; STRUCTURAL RESPONSE; THEORETICAL MODELS; THERMO-MECHANICAL; TWO STAGE; TWO-COMPONENT; TWO-MATERIALS; ULTRA HIGH SPEED; VIRTUAL POWER;

ABAQUS; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); PLASTICITY; TRIBOLOGY;

FRICTION;

EID: 79955821760     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2010.10.008     Document Type: Article

References (106)

1. ABAQUS, 2009. ABAQUS (2009) Users Manual. Providence, RI, Version 6.8.3 Edition.
2. F.H. Abed, and G.Z. Voyiadjis A consistent modified Zerilli-Armstrong flow stress model for bcc and fcc metals for elevated temperatures Acta Mechanica 175 2005 1 18 (Pubitemid 40536617)
3. R.K. Abu Al-Rub, and G. Voyiadjis Analytical and experimental determination of the material intrinsic length scale of strain gradient plasticity theory from micro- and nano-indentation experiments International Journal of Plasticity 20 6 2004 1139 1182
4. R. Abu Al-Rub, and G. Voyiadjis A direct finite element implementation of the gradient-dependent theory International Journal for Numerical Methods in Engineering 63 4 2005 603 629 (Pubitemid 40757785)
5. R.K. Abu Al-Rub, and G.Z. Voyiadjis A finite strain plastic-damage model for high velocity impact using combined viscosity and gradient localization limiters: Part I - Theoretical formulation International Journal of Damage Mechanics 15 2006 293 334 (Pubitemid 44446413)
6. R. Abu Al-Rub, G. Voyiadjis, and D. Bammann A thermodynamic based higher-order gradient theory for size dependent plasticity International Journal of Solids and Structures 44 9 2007 2888 2923 (Pubitemid 46386009)
7. E.C. Aifantis On the microstructural origin of certain inelastic models Journal of Engineering Materials and Technology 106 1984 326 330 (Pubitemid 15440165)
8. E.C. Aifantis On the role of gradient in the localization of deformation and fracture International Journal of Engineering Science 30 1992 1279 1299
9. K. Aifantis, and J.R. Willis The role of interface in enhancing the yield strength of composite and polycrystal Journal of the Mechanics and Physics of Solids 53 2005 1047 1070 (Pubitemid 40303111)
10. K. Aifantis, and J. Willis Scale effects induced by strain gradient plasticity and interfacial resistance in periodic and randomly heterogeneous media Mechanics of Materials 38 2006 702 716 (Pubitemid 43668342)
11. A. Almasri, and G. Voyiadjis Nanoindentation in fcc metals: experimental study Acta Mechanica 12 2010 1 10
12. L. Anand, M. Gurtin, S. Lele, and C. Gething A one-dimensional theory of strain-gradient plasticity: formulation, analysis, numerical results Journal of the Mechanics and Physics of Solids 53 8 2005 1789 1826 (Pubitemid 40822337)
13. K. Andrews, M. Shillor, and S. Wright A dynamic thermoviscoelastic contact problem with friction and wear International Journal of Engineering Science 35 14 1997 1291 1309 (Pubitemid 127402494)
14. Banerjee, B.; 2007. An Evaluation of Plastic Flow Stress Models for the Simulation of High-Temperature and High-Strain-Rate Deformation of Metals. Report.
15. S. Bari, and B. Hassan An advancement on the on cyclic plasticity modeling for multiaxial ratcheting simulation International Journal of Plasticity 18 2002 873 894 (Pubitemid 34524276)
16. J.L. Bassani Incompatibility and a simple gradient theory of plasticity Journal of Mechanics and Physics of Solids 49 2001 1983 1996 (Pubitemid 32768099)
17. Z.P. Bazant, and G. Pijaudier-Cobot Nonlocal continuum damage, localization instability and convergence Journal of Applied Mechanics 55 1988 287 293
18. L. Bian, F. Taheri, and Y. Lu Analytical and experimental evaluations of the influence of fracture surface roughness, its sliding actions and the associated plasticity on fatigue crack propagation International Journal of Plasticity 24 2 2008 302 326 (Pubitemid 350051697)
19. E. Bittencourt, A. Needleman, M. Gurtin, and E. Van der Giessen A comparison of nonlocal continuum and discrete dislocation plasticity predictions Journal of the Mechanics and Physics of Solids 51 2003 281 310 (Pubitemid 35412415)
20. F.P. Bowden, and T.P. Hughes The friction of clean metals and the influence of absorbed gasses. The temperature coefficient of friction The Scholarly Journal Archive A172 1939 263 279
21. F.P. Bowden, and P.A. Persson Deformation heating and melting of solids in high speed friction Proceedings of Royal Society of London A 260 1960 433 458
22. P. Cermelli, E. Fried, and M. Gurtin Sharp-interface nematic-isotropic phase transitions without flow Archive for Rational Mechanics and Analysis 174 2 2004 151 178 (Pubitemid 39519496)
23. B. Coleman, and M. Gurtin Thermodynamics with internal state variables Journal of Chemical Physics 47 1967 597 613
24. B. Coleman, and W. Noll The thermodynamics of elastic materials with heat conduction and viscosity Archive for Rational Mechanics and Analysis 13 1963 167 178
25. R. De Borst, and L.J. Sluys Localization in a cosserat continuum under static and dynamic loading condition Computer Methods in Applied Mechanics and Engineering 90 1991 805 827
26. L. Deters, and M. Proksch Friction and wear testing of rail and wheel material Wear 258 2005 981 991 (Pubitemid 40252596)
27. R. Dorgan, and G. Voyiadjis Nonlocal dislocation based plasticity incorporating gradients of hardening Mechanics of Materials 35 8 2003 721 732
28. R. Dorgan, and G. Voyiadjis A mixed finite element implementation of a gradient-enhanced coupled damage-plasticity model International Journal of Damage Mechanics 15 3 2006 201 235 (Pubitemid 43933714)
29. J. Eftis, C. Carrasco, and R. Osegueda A constitutive-microdamage model to simulate hypervelocity projectile-target impact, material damage and fracture International Journal of Plasticity 19 2003 1321 1354
30. N.A. Fleck, and J.W. Hutchinson Strain gradient plasticity Advanced Applied Mechanics 33 1997 295 361
31. N. Fleck, and J. Willis A mathematical basis for strain gradient plasticity theory - Part I: Scalar plastic multiplier Journal of the Mechanics and Physics of Solids 57 1 2009 161 177
32. N. Fleck, and J. Willis A mathematical basis for strain gradient plasticity theory - Part II: Tensorial plastic multiplier Journal of the Mechanics and Physics of Solids 57 7 2009 1045 1057
33. N. Fleck, G. Muller, M. Ashby, and J. Hutchinson Strain gradient plasticity - theory and experiment Acta Metallurgica et Materialia 42 2 1994 475 487
34. P. Fredriksson, and P. Gudmundson Size-dependent yield strength and surface energies of thin films Materials Science and Engineering A - Structural Materials Properties Microstructure and Processing 400 2005 448 450 (Pubitemid 40935930)
35. P. Fredriksson, and P. Gudmundson Competition between interface and bulk dominated plastic deformation in strain gradient plasticity Modelling and Simulation in Materials Science and Engineering 15 1 2007 61 69
36. M. Fremond, and B. Nedjar Damage, gradient of damage and principle of virtual power International Journal of Solids and Structures 33 8 1996 1103
37. A. Glema, T. Lodygowski, and P. Perzyna Interaction of deformation waves and localization phenomena in inelastic solids Computer Methods in Applied Mechanics and Engineering 183 2000 123 140 (Pubitemid 30567978)
38. P. Gudmundson A unified treatment of strain gradient plasticity Journal of the Mechanics and Physics of Solids 52 6 2004 1379 1406
39. M. Gurtin On the plasticity of single crystals: free energy, microforces, plastic-strain gradients Journal of the Mechanics and Physics of Solids 48 5 2000 989 1036 (Pubitemid 32132880)
40. M. Gurtin A gradient theory of small-deformation isotropic plasticity that accounts for the burgers vector and for dissipation due to plastic spin Journal of the Mechanics and Physics of Solids 52 11 2004 2545 2568
41. M. Gurtin, and L. Anand Thermodynamics applied to gradient theories involving the accumulated plastic strain: The theories of aifantis and fleck and hutchinson and their generalization Journal of the Mechanics and Physics of Solids 57 2009 405 421
42. M. Gurtin, and A. Needleman Boundary conditions in small-deformation, single-crystal plasticity that account for the burgers vector Journal of the Mechanics and Physics of Solids 53 1 2005 1 31
43. Hale, C.S.; 2010. Consideration of Wear Rates at High Velocity. Ph.D. Thesis, Air Force Institute of Tchnology, Wright-Patterson Air Force Base, Ohio.
44. J. Hardell, and B. Prakash High-temperature friction and wear behaviour of different tool steels during sliding against al-si-coated high-strength steel Tribology International 41 2008 663 671 (Pubitemid 351469969)
45. K. Hashiguchi, and S. Ozaki Constitutive equation for friction with transition from static to kinetic friction and recovery of static friction International Journal of Plasticity 24 11 2008 2102 2124
46. R. Hill A theory of the yielding and plastic flow of anisotropic metals Proceedings of Royal Society of London Series A 193 1948 281 297
47. I. Hutchings G.W. Stochowiak, The Challenge of Wear in Wear-Mechanisms, Material and Practice 2006 Jhon Willey and Sons Ltd
48. Y. Hwang, and W. Chen Analysis of tube hydroforming in a square cross-sectional die International Journal of Plasticity 21 9 2005 1815 1833 (Pubitemid 40643266)
49. P. Ireman Algorithms for gradient damage models based on a semi-smooth newton method Computer Methods in Applied Mechanics and Engineering 194 2005 727 741 (Pubitemid 39660443)
50. P. Ireman, and Q. Nguyen Using the gradients of temperature and internal parameters in continuum thermodynamics Comptes Rendus Mecanique 332 2004 249 255 (Pubitemid 38407312)
51. P. Ireman, A. Klarbring, and N. Stroemberg Finite element algorithms for thermoelastic wear problems European Journal of Mechanics and Solids 21 2002 423 440
52. P. Ireman, A. Klarbring, and B. Stromberg A model of damage coupled to wear International Journal of Solids and Structures 40 2003 2957 2974 (Pubitemid 36632326)
53. Johnson, G.R.; Cook, W.H.; 1983. A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. In: Seventh International Symposium on Ballistics, vol. 1, p. 541.
54. P.I. Kattan, and G. Voyiadjis Micromechanical modeling of damage in uniaxially loaded unidirectional fiber-reinforced composite laminae International Journal of Solids and Structures 30 1 1993 19 36
55. P. Ko, G. Knowles, and M. Taponat Friction characteristics and the wear process of metal pairs in sliding contacts with applications to modelling wear of power plant component Wear 213 1997 148 158 (Pubitemid 127406089)
56. V. Kolmogorov Friction and wear model for a heavily loaded sliding pair, Part I. Metal damage and fracture model Wear 194 1996 71 79 (Pubitemid 126378520)
57. T. Laursen Computational Contact and Impact Mechanics: Fundamentals of Modeling Interfacial Phenomena 2002 Springer-Verlag Heidelberg
58. W. Lee, K.-H. Chung, D. Kim, J. Kim, C. Kim, K. Okamoto, R. Wagoner, and K. Chung Experimental and numerical study on formability of friction stir welded twb sheets based on hemispherical dome stretch tests International Journal of Plasticity 25 9 2009 1626 1654
59. J. Le Monds, and A. Needleman An analysis of shear band development incorporating heat conduction Mechanics of Materials 5 1986 363
60. S.C. Lim, M.F. Ashby, and J.H. Brunton The effects of sliding conditions on the dry friction of metals Acta Mechanica 37 3 1989 767 772
61. Lodygowski, A.; 2010. Friction and Wear at Elevated Velocities. Ph.D. Thesis, Department of Civil Engineering at Louisiana State University, Baton Rouge, LA 70803.
62. Lodygowski, A.; Faure, L.; Voyiadjis, G.; Philippon, S.; submitted for publication. Dry sliding friction experiments at elevated velocities. Journal of Experimental Mechanics.
63. M.D.J.B. Meyers, O. Vohringer, B. Kad, Q. Xue, and H. Fu Constitutive description of dynamic deformation: physically-based mechanisms Material Science Engineering A322 2002 194 216 (Pubitemid 34135043)
64. H. Mishina Surface deformation and formation of original element of wear panicles in sliding friction Wear 215 1998 10 17 (Pubitemid 128396532)
65. A. Needleman Material rate dependent and mesh sensitivity in localization problems Computer Methods in Applied Mechanics and Engineering 67 1988 68 85
66. S. Nemat-Nasser, and J.B. Isaacs Direct measurement of isothermal flow stress of metals at elevated temperatures and high strain rates with application to ta and ta-w alloys Acta Materialia 45 3 1997 907 919 (Pubitemid 127368309)
67. M. Nygards, and P. Gudmundson Numerical investigation of the effect of non-local plasticity on surface roughening in metals European Journal of Mechanics A - Solids 23 5 2004 753 762 (Pubitemid 40134568)
68. Oden, J.T.; Martins, J. (Eds.), 1984. Models and Computational Methods for Dynamic Friction Phenomena. Fenomech III, Stuttgart, Germany.
69. P. Perzyna The constitutive equations for rate-sensitive materials Quarterly of Applied Mathematics 20 1963 321 332
70. S. Philippon, G. Sutter, A. Dedourge, and A. Molinari Etude experimentale du frottement International Journal of Mechanical Production Systems Engineering, High Speed Machining 2003 57 60
71. S. Philippon, G. Sutter, and A. Molinari An experimental study of friction at high sliding velocities Wear 257 2004 777 784 (Pubitemid 40068213)
72. K. Rajagopal, and A. Srinivasa On the thermomechanics of materials that have multiple natural configurations. Part I: Viscoelasticity and classical plasticity Zeitschrift fuer angewandte Mathematik und Physik 55 2004 861 893 (Pubitemid 39305737)
73. Rusinek, A.; Rodriguez-Martinez, J.A.; Zaera, R.; Klepaczko, J.R.; Sauvelet, C.; Arias, A.; 2007. Experimental and Numerical Analysis of Failure Process of Mild Steel Sheets Subjected to Perpendicular Impact by Hemispherical Projectiles, University of Paul Verlaine in Metz.
74. 6/s Journal of Applied Physics 65 4 1989 1528 1533
75. N. Stelmashenko, M. Walls, L. Brown, and Y. Milman Microindentation on w and mo oriented single crystals: an stm study Acta Metallurgica et Materialia 41 1993 2855 2865 (Pubitemid 23715653)
76. J. Stolken, and A. Evans A microbend test method for measuring the plasticity length-scale Acta Mater 46 1998 5109 5115 (Pubitemid 128421651)
77. S. Stupkiewicz, and Z. Mroz Phenomenological model of real contact area evolution with account for bulk plastic deformation in metal forming International Journal of Plasticity 19 2003 323 344 (Pubitemid 35384419)
78. J. Tjernlund, E. Gamstedt, and P. Gudmundson Length-scale effects on damage development in tensile loading of glass-sphere filled epoxy International Journal of Solids and Structures 43 24 2006 7337 7357 (Pubitemid 44488680)
79. I. Tsagrakis, A. Konstantinidis, and E. Aifantis Strain gradient and wavelet interpretation of size effects in yield and strength Mechanics of Materials 35 2003 733 745
80. G.Z. Voyiadjis, and F.H. Abed Microstructural based models for bcc and fcc metals with temperature and strain rate dependency Mechanics of Materials 37 2005 355 378
81. G.Z. Voyiadjis, and R. Abu Al-Rub Thermodynamic based model for the evolution equation of the backstress in cyclic plasticity International Journal of Plasticity 19 12 2003 2121 2147
82. G.Z. Voyiadjis, and R.K. Abu Al-Rub Gradient plasticity theory with a variable length scale parameter International Journal of Solids and Structures 42 2005 3998 4029 (Pubitemid 40259613)
83. G.Z. Voyiadjis, and R.K. Abu Al-Rub Nonlocal gradient-dependent thermodynamics for modeling scale-dependent plasticity International Journal for Multiscale Computational Engineering 5 3-4 2007 295 323
84. G.Z. Voyiadjis, and A. Almasri A physically based constitutive model for fee metals with applications to dynamic hardness Mechanics of Materials 40 6 2008 549 563
85. G.Z. Voyiadjis, and B. Deliktas Damage in mmcs using the gmc: theoretical formulation Composites Part B - Engineering 28 5-6 1997 597 611 (Pubitemid 127380188)
86. G.Z. Voyiadjis, and B. Deliktas A coupled anisotropic damage model for the inelastic response of composite materials Computer Methods in Applied Mechanics and Engineering 183 2000 159 199 (Pubitemid 30567467)
87. G.Z. Voyiadjis, and B. Deliktas Multi-scale analysis of multiple damage mechanics coupled with inelastic behavior of composite materials Mechanics Research Communications 27 3 2000 295 300
88. G.Z. Voyiadjis, and B. Deliktas Formulation of strain gradient plasticity with interface energy in a consistent thermodynamic framework International Journal of Plasticity 25 10 2009 1997 2024
89. G.Z. Voyiadjis, and B. Deliktas Mechanics of strain gradient plasticity with particular reference to decomposition of the state variables into energetic and dissipative components International Journal of Engineering Science 47 11-12 2009 1405 1423
90. G.Z. Voyiadjis, and B. Deliktas Modeling strengthening and softening in inelastic nanocrytalline materials with reference to the triple junction and grain boundaries using strain gradient plasticity Acta Mechanica 213 1 2010 3 26
91. G.Z. Voyiadjis, and R.J. Dorgan Gradient formulation in coupled damage-plasticity Archives of Mechanics 53 4-5 2001 565 597
92. G.Z. Voyiadjis, and T. Park Local and iterfacial damage analysis of metal matrix composites using finite element method Engineering Fracture Mechanics 56 4 1997 483 511
93. G.Z. Voyiadjis, and R. Peters Size effects in nanoindentation: an experimental and analytical study Acta Mechanica 211 2010 131 153
94. G.Z. Voyiadjis, B. Deliktas, and E.C. Aifantis Multiscale analysis of multiple damage mechanics coupled with inelastic behaviour of composite materials Journal of Engineering Mechanics 127 7 2001 636 645 (Pubitemid 32635828)
95. G.Z. Voyiadjis, R.K. Abu Al-Rub, and A.N. Palazotto Non-local coupling of viscoplasticity and anisotropic viscodamage for impact problems using gradient theory Archives of Mechanics 55 1 2003 39 89
96. Voyiadjis, G.Z.; Deliktas, B.; Lodygowski, A.; Palazotto, A.N.; Philippon, S.; Rusinek, A.; Faure, L.; Chevrier, P.; 2009a. High rate and frictional effects in wear of metals using strain gradient plasticity. In: Proceedings of the International Workshop in Memory of J.R.R. Klepaczko.
97. Voyiadjis, G.Z.; Lodygowski, A.; Deliktas, B.; 2009b. Non-Local Coupling of Friction and Damage in High Velocity Wear. Technical Report, Airforce Institute of Technology, Wright-Patterson Air Force Base, Ohio.
98. Voyiadjis, G.Z.; Almasri, A.; Park, T.; 2010a. Experimental Nanoindentation of bcc Metals. Mechanics Research Communications, 8 p.
99. G.Z. Voyiadjis, B. Deliktas, D. Faghihi, and A. Lodygowski Friction coefficient evaluation using physically based viscoplasticity model at the contact region during high velocity sliding Acta Mechanica 213 1 2010 39 52
100. W.M. Wang, L.J. Sluys, and R. De Borst Interaction between material length scale and imperfection size for localization phenomena in viscoplastic media European Journal of Mechanics - A/Solids 15 3 1996 447 464
101. F. Yuan, N. Liou, and V. Prakash High-speed frictional slip at metal-on-metal interfaces International Journal of Plasticity 25 4 2009 612 634
102. S. Yun, and A.N. Palazotto Damage mechanics incorporating two back stress kinematic hardening constitutive models Engineering Fracture Mechanics 74 2007 2844 2863 (Pubitemid 47317145)
103. H.M. Zbib, and E.C. Aifantis On the gradient-dependent theory of plasticity and shear banding Acta Mechanica 9 1992 209 225
104. F. Zerilli, and R. Armstrong Dislocation-mechanics-based constitutive relations for material dynamics calculations Journal of Applied Physics 61 5 1987 1816 1825
105. H. Ziegler An Introduction to Thermomechanics second ed. North-Holland Series in Applied Mathematics and Mechanics 1983 North-Holland Amsterdam
106. H. Ziegler, and C. Wehrli On a principle of maximal rate of entropy production Journal of Non-Equilibrium Thermodynamics 12 3 1987 229 243 (Pubitemid 17651358)