A Comprehensive Elastic-Plastic Single-Asperity Contact Model

REFERENCES

• Greenwood , J. A. and Williamson , J. B. P. Contact of Nominally Flat Surfaces . Proceedings of the Royal Society: Series A , Vol. 295 , pp. 300 – 319 .
   Google Scholar
• Bush , A. W. , Gibson , R. D. and Thomas , T. R. 1975 . The Elastic Contact of a Rough Surface . Wear , 3 ( 5 ) : 87 – 111 .
   Web of Science ®Google Scholar
• Whitehouse , D. J. and Archard , J. F. The Properties of Random Surface of Significance in Their Contact . Proceedings of the Royal Society, Series A , Vol. 316 , pp. 97 – 121 .
   Google Scholar
• Hisakado , T. 1974 . Effects of Surface Roughness on Contact between Solid Surfaces . Wear , 28 : 217 – 234 .
   Web of Science ®Google Scholar
• Greenwood , J. A. and Tripp , J. H. 1967 . The Elastic Contact of Rough Sphere . Journal of Applied Mechanics , 34 : 53 – 159 .
   Google Scholar
• Bush , A. W. , Gibson , R. D. and Keogh , G. P. 1979 . Strongly Anisotropic Rough Surfaces . Journal of Lubrication Technology , 101 : 15 – 20 .
   Google Scholar
• Handzel-Powierza , Z. , Klimczak , T. and Polijaniuk , A. 1992 . On the Experimental Verification of the Greenwood-Williamson Model for the Contact of Rough Surfaces . Wear , 154 : 115 – 124 .
   Web of Science ®Google Scholar
• Abbott , E. J. and Firestone , F. A. 1933 . Specifying Surface Quality—A Method Based on Accurate Measurement and Comparison . Mechanical Engineering , 55 : 569 – 572 .
   Google Scholar
• Williamson , J. B. P. and Hunt , R. T. Asperity Persistence and the Real Area of Contact between Rough Surfaces . Proceedings of the Royal Society: Series A , Vol. 327 , pp. 147 – 157 .
   Google Scholar
• Pullen , J. and Williamson , J. B. P. On the Plastic Contact of Rough Surfaces . Proceedings of the Royal Society: Series A , Vol. 327 , pp. 159 – 173 .
   Google Scholar
• Chang , W. R. , Etsion , I. and Bogy , D. B. 1987 . An Elastic–Plastic Model for the Contact of Rough Surfaces . Journal of Tribology , 109 : 257 – 263 .
   Web of Science ®Google Scholar
• Kucharski , S. , Klimczak , T. , Polijaniuk , A. and Kaczmarek , J. 1994 . Finite Elements Model for the Contact of Rough Surfaces . Wear , 177 : 1 – 13 .
   Web of Science ®Google Scholar
• Zhao , Y. , Maietta , D. M. and Chang , L. 2000 . An Asperity Micro Contact Model Incorporating the Transition from Elastic Deformation to Fully Plastic Flow . Journal of Tribology , 122 : 86 – 93 .
   Web of Science ®Google Scholar
• Kogut , L. and Etsion , I. 2002 . Elastic–Plastic Contact Analysis of a Sphere and a Rigid Flat . Journal of Applied Mechanics , 69 : 657 – 662 .
   Web of Science ®Google Scholar
• Tabor , D. 1951 . The Hardness of Materials , New York : Clarendon Press .
   Google Scholar
• Kogut , L. and Etsion , I. 2003 . A Finite Element Based Elastic–Plastic Model for the Contact of Rough Surfaces . Tribology Transactions , 46 : 383 – 390 .
   Web of Science ®Google Scholar
• Quicksall , J. , Jackson , R. L. and Green , I. Elasto-Plastic Hemispherical Contact for Varying Mechanical Properties . Proceedings of Institute of Mechanical Engineers - Part J: Journal of Engineering Tribology , Vol. 218 , pp. 313 – 322 .
   Google Scholar
• Jackson , R. L. and Green , I. A Finite Element Study of Elasto-Plastic Hemispherical Contact . Proceedings of the 2003 ASME–STLE International Tribology Conference , Ponte Vedra Beach, Florida, USA, 26–29 Oct.
   Google Scholar
• Jackson , R. L. and Green , I. 2005 . A Finite Element Study of Elasto-Plastic Hemispherical Contact against a Rigid Flat . Journal of Tribology , 127 : 343 – 354 .
   Web of Science ®Google Scholar
• Jackson , R. L. and Green , I. 2006 . A Statistical Model of Elasto-Plastic Asperity Contact between Rough Surfaces . Tribology International , 39 : 906 – 914 .
   Web of Science ®Google Scholar
• Green , I. 2005 . Poisson's Ratio Effects and Critical Values in Spherical and Cylindrical Hertzian Contacts . International Journal of Applied Mechanics and Engineering , 10 ( 3 ) : 451 – 462 .
   Google Scholar
• Etsion , I. , Kligerman , Y. and Kadin , Y. 2005 . Unloading of an Elastic–Plastic Loaded Spherical Contact . International Journal of Solids and Structures , 42 : 3716 – 3729 .
   Web of Science ®Google Scholar
• Kadin , Y. , Kligerman , Y. and Etsion , I. 2006 . Unloading an Elastic Plastic Contact of Rough Surfaces . Journal of the Mechanics and Physics of Solids , 54 ( 12 ) : 2652 – 2674 .
   Web of Science ®Google Scholar
• Brizmer , V. , Kligerman , Y. and Etsion , I. 2006 . The Effect of Contact Conditions and Material Properties on the Elasticity Terminus of a Spherical Contact . International Journal of Solids and Structures , 43 : 5736 – 5749 .
   Web of Science ®Google Scholar
• Brizmer , V. , Zait , Y. , Klingerman , Y. and Etsion , I. 2006 . The Effect of Contact Conditions and Material Properties on Elastic–Plastic Spherical Contact . Journal of Mechanics of Materials and Structures , 1 ( 5 ) : 865 – 879 .
   Web of Science ®Google Scholar
• Shankar , S. and Mayuram , M. M. 2008 . A Finite Element Based Study on the Elastic–Plastic Transition Behavior in a Hemisphere in Contact with a Rigid Flat . Journal of Tribology , 130 : 1 – 6 .
   Web of Science ®Google Scholar
• Shankar , S. and Mayuram , M. M. 2008 . Effect of Strain Hardening in Elastic–Plastic Transition Behavior in a Hemisphere in Contact with a Rigid Flat . International Journal of Solids and Structures , 45 : 3009 – 3020 .
   Web of Science ®Google Scholar
• Sahoo , P. and Chatterjee , B. 2010 . A Finite Element Study of Elastic–Plastic Hemispherical Contact Behavior against a Rigid Flat under Varying Modulus of Elasticity and Sphere Radius . Engineering , 2 : 205 – 211 .
   Google Scholar
• Venkatesh , T. A. and Lan , H. 2013 . On the Relationships between Hardness and the Elastic and Plastic Properties of Isotropic Power-Law Hardening Materials . Philosophical Magazine , : 35 – 55 .
   Web of Science ®Google Scholar
• Jamari , J. and Schipper , D. J. 2007 . Deformation Due to Contact between a Rough Surface and a Smooth Ball . Wear , 262 ( 1–2 ) : 138 – 145 .
   Web of Science ®Google Scholar
• Kogut , L. and Komvopoulos , K. 2004 . Analysis of the Spherical Indentation Cycle for Elastic–Perfectly Plastic Solids . Journal of Materials Research , 19 ( 12 ) : 3641 – 3653 .
   Web of Science ®Google Scholar
• Mesarovic , S. D. and Fleck , N. A. 2000 . Frictionless Indentation of Dissimilar Elastic–Plastic Spheres . International Journal of Solids and Structures , 37 : 7071 – 7091 .
   Web of Science ®Google Scholar
• Chaudhri , M. M. , Hutchings , I. M. and Makin , P. L. 1984 . Plastic Compression of Spheres . Philosophical Magazine , 49 ( 4 ) : 493 – 503 .
   Google Scholar