A Numerical Elastic–Plastic Contact Model for Rough Surfaces

REFERENCES

• Greenwood , J. A. and Williamson , J. B. 1966 . “Contact of Nominally Flat Surfaces,” . Proc. Roy. Soc. (London) A , 295 : 300 – 319 .
   Web of Science ®Google Scholar
• Onions , R. A. and Archard , J. F. 1973 . “The Contact of Surfaces Having a Random Surface Structure,” . Jour. of Phys. D, Appl. Phys. , 6 : 289 – 304 .
   Web of Science ®Google Scholar
• Chang , W. R. , Etsion , I. and Bogy , D. B. 1987 . “An Elastic-Plastic Model for the Contact of Rough Surfaces,” . ASME J. Tribol. , 109 : 257 – 263 .
   Web of Science ®Google Scholar
• Zhao , Y. , Maietta , D. M. and Chang , L. 2000 . “An Asperity Microcontact Model Incorporating the Transition from Elastic Deformation to Fully Plastic Flow,” . ASME J. Tribol. , 122 ( 1 ) : 86 – 93 .
   Web of Science ®Google Scholar
• Majumdar , A. and Bhushan , B. 1991 . “Fractal Model of Elastic–Plastic Contact Between Rough Surfaces,” . ASME J. Tribol. , 113 ( 1 ) : 1 – 11 .
   Web of Science ®Google Scholar
• Persson , B. N. J. 2001 . “Elastoplastic Contact Between Randomly Rough Surfaces,” . Phys. Rev. Lett. , 87 ( 11 ) : 1 – 4 .
   Web of Science ®Google Scholar
• Liu , G. , Zhu , J. , Yu , L. and Wang , Q. 2001 . “Elasto-Plastic Contact of Rough Surfaces,” . Tribol. Trans. , 44 ( 3 ) : 437 – 443 .
   Web of Science ®Google Scholar
• Sabelkin , V. and Mall , S. 2007 . “Elastic–Plastic Multi-Asperity Contact Analysis of Cylinder-on-Flat Configuration,” . ASME J. Tribol. , 129 ( 2 ) : 292 – 304 .
   Web of Science ®Google Scholar
• Pei , L. , Hyun , S. , Molinari , J. F. and Robbins , M. O. 2005 . “Finite Element Modeling of Elasto-Plastic Contact Between Rough Surfaces,” . J. Mech. Phys. Solids. , 53 ( 11 ) : 2385 – 2409 .
   Web of Science ®Google Scholar
• Kalker , J. J. 1977 . “Variational Principles in Contact Elastostatics,” . J. Inst. Math. Appl. , 20 ( 2 ) : 199 – 219 .
   Google Scholar
• Nogi , T. and Kato , T. 1997 . “Influence of a Hard Surface Layer on the Limit of Elastic Contact, Part I: Analysis Using a Real Surface Model,” . ASME J. Tribol. , 119 ( 3 ) : 493 – 500 .
   Web of Science ®Google Scholar
• Hu , Y. Z. , Barber , G. C. and Zhu , D. 1999 . “Numerical Analysis for the Elastic Contact of Real Rough Surfaces,” . Tribol. Trans. , 42 ( 3 ) : 443 – 452 .
   Web of Science ®Google Scholar
• Polonsky , I. A. and Keer , L. M. 1999 . “A Numerical Method for Solving Rough Contact Problems Based on the Multi-Level Multi-Summation and Conjugate Gradient Techniques,” . Wear , 231 ( 2 ) : 206 – 219 .
   Web of Science ®Google Scholar
• Tabor , D. 1951 . The Hardness of Metals , Oxford, , UK : Clarendon Press .
   Google Scholar
• Johnson , K. L. 1985 . Contact Mechanics , Cambridge, , UK : Cambridge University Press .
   Google Scholar
• Peng , W. and Bhushan , B. 2001 . “A Numerical Three-Dimensional Model for the Contact of Layered Elastic/Plastic Solids with Rough Surfaces by a Variational Principle,” . ASME J. Tribol. , 123 ( 2 ) : 330 – 342 .
   Web of Science ®Google Scholar
• Jacq , C. , Nélias , D. , Lormand , G. and Girodin , D. 2002 . “Development of a Three-Dimensional Semi-Analytical Elastic-Plastic Contact Code,” . ASME J. Tribol. , 124 ( 4 ) : 653 – 667 .
   Web of Science ®Google Scholar
• Wang , F. and Keer , L. M. 2005 . “Numerical Simulation for Three Dimensional Elastic-Plastic Contact with Hardening Behavior,” . ASME J. Tribol. , 127 ( 3 ) : 494 – 502 .
   Web of Science ®Google Scholar
• Boucly , V. , Nélias , D. and Green , I. 2007 . “Modeling of the Rolling and Sliding Contact Between Two Asperities,” . ASME J. Tribol. , 129 ( 2 ) : 235 – 245 .
   Web of Science ®Google Scholar
• Nélias , D. , Boucly , V. and Brunet , M. 2006 . “Elastic-Plastic Contact Between Rough Surfaces: Proposal for a Wear or Running-in Model,” . ASME J. Tribol. , 128 ( 2 ) : 236 – 244 .
   Web of Science ®Google Scholar
• Chen , W. W. , Wang , Q. , Wang , F. , Keer , L. M. and Cao , J. 2008 . “Three-Dimensional Repeated Elasto-Plastic Point Contacts, Rolling, and Sliding,” . ASME J. Appl. Mech. , 75 ( 2 ) : 1 – 12 .
   Web of Science ®Google Scholar
• Chen , W. W. , Wang , Q. , Liu , Y. C. , Chen , W. , Cao , J. , Xia , C. , Talwar , R. and Lederich , R. 2007 . “Analysis and Convenient Formulas for Elasto-Plastic Contacts of Nominally Flat Surfaces: Average Gap, Contact Area Ratio, and Plastically Deformed Volume,” . Tribol. Lett. , 28 ( 1 ) : 27 – 38 .
   Web of Science ®Google Scholar
• Chiu , Y. P. 1977 . “On the Stress Field Due to Initial Strains in a Cuboid Surrounded by an Infinite Elastic Space,” . ASME J. Appl. Mech. , 44 : 587 – 590 .
   Web of Science ®Google Scholar
• Chiu , Y. P. 1978 . “On the Stress Field and Surface Deformation in a Half-Space with a Cuboidal Zone in Which Initial Strains Are Uniform,” . ASME J. Appl. Mech. , 45 : 302 – 306 .
   Web of Science ®Google Scholar
• Liu , S. B. and Wang , Q. 2002 . “Studying Contact Stress Fields Caused by Surface Tractions with a Discrete Convolution and Fast Fourier Transform Algorithm,” . ASME J. Tribol. , 124 ( 1 ) : 36 – 45 .
   Web of Science ®Google Scholar
• Mura , T. 1982 . Micromechanics of Defects in Solid , Dordrecht, , The Netherlands : Kluwer .
   Google Scholar
• Belytschko , T. , Liu , W. K. and Moran , B. 2000 . Nonlinear Finite Elements for Continua and Structures , New York : Wiley .
   Google Scholar
• Krieg , R. D. and Key , S. W. 1976 . “Implementation of a Time Dependent Plasticity Theory into Structural Computer Programs, in Constitutive Equations in Viscoplasticity,” . In Constitutive Equations in Viscoplasticity: Computational and Engineering Aspects (AMD-20) , Edited by: Stricklin , J. A. and Saczalski , K. J. 125 – 137 . New York : ASME .
   Google Scholar
• Simo , J. C. and Taylor , R. L. 1985 . “Consistent Tangent Operators for Rate Independent Elastoplasticity,” . Comput. Meth. Appl. Mech. Eng. , 48 : 101 – 118 .
   Web of Science ®Google Scholar