Finite Element Study on the Residual Strains in a Sphere after Unloading from the Elastic-Plastic State

REFERENCES

• Johnson , K. L. 1985 . Contact Mechanics , 179 – 184 . Cambridge : Cambridge University Press .
   Google Scholar
• Vu-Quoc , L. , Zhang , X. and Lesberg , L. 2000 . A Normal Force-displacement Model for Contacting Spheres Accounting for Plastic Deformation: Force-driven Formulation . ASME Journal of Applied Mechanics , vol. 67 ( 2 ) : 363 – 371 .
   Google Scholar
• Li , L.-Y. , Thornton , C. and Wu , C.-Y. 2000 . Impact Behaviour of Elastoplastic Sphere with a Rigid Wall . Proc. Instn. Mech. Engrs. Part C, Journal of Mechanical Engineering Science , vol. 214 : 1107 – 1114 .
   Google Scholar
• Li , L. Y. , Wu , C.-Y. and Thornton , C. 2002 . A Theoretical Model for the Contact of Elastoplastic Bodies . Proc. Instn. Mech. Engrs. Part C, Journal of Mechanical Engineering Science , vol. 216 : 421 – 431 .
   Google Scholar
• Lin , Y. Y. and Hui , C. Y. 2002 . Mechanics and Contact and Adhesion Between Viscoelastic Spheres: An Analysis of Hysteries During Loading and Unloading . J. Polymer Science. Part B – Polymer Physics , vol. 40 ( 9 ) : 772 – 793 .
   Google Scholar
• Yan , S. L. and Li , L. Y. 2003 . Finite Element Analysis of Cyclic Indentation of an Elastic-perfectly Plastic Half-space by Rigid Sphere . Proc. Instn. Mech. Engrs. Part C, Journal of Mechanical Engineering Science , vol. 217 ( 4 ) : 505 – 514 .
   Google Scholar
• Alexandrova , N. and Vila , P. M. M. 2008 . Real, Deformation and Stress Analysis of an Anisotropic Rotating Annular Disk . International Journal for Computational Methods in Engineering Science & Mechanics , vol. 9 ( 1 ) : 43 – 50 .
   Google Scholar
• Ye , N. and Komvopoulos , K. 2003 . Effect of Residual Stress in Surface Layer on Contact Deformation of Elastic-plastic Layered Media . ASME Journal of Tribology , vol. 125 ( 3 ) : 692 – 699 .
   Google Scholar
• Kim , J.-Y. , Baltazar , A. and Rokhlin , S. I. 2004 . Ultrasonic Assessment of Rough Surface Contact Between Solids from Elastoplastic Loading-unloading Hysteresis Cycle . J. Mech. Phys. Solids , vol. 52 ( 8 ) : 1911 – 1934 .
   Google Scholar
• Waikar , R. A. and Guo , Y. B. 2007 . Residual Stress Evolution and Mechanical State of Hard Machined Components in Sliding Contact . Tribology Transactions , vol. 50 ( 3 ) : 531 – 539 .
   Google Scholar
• 2005 . Sonia Marfia, Elio Sacco, Numerical Procedure for Elasto-plastic No-tension Model . International Journal for Computational Methods in Engineering Science & Mechanics , vol. 6 ( 2 ) : 187 – 199 .
   Google Scholar
• Etsion , I. , Kligerman , Y. and Kadin , Y. 2005 . Unloading of an Elastic-plastic Loaded Spherical Contact . International. Journal of Solids and Structures , vol. 42 : 3716 – 3729 .
   Google Scholar
• Kogut , L. and Etsion , I. 2002 . Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat . ASME Journal of Applied Mechanics , vol. 69 : 657 – 662 .
   Google Scholar
• Jackson , R. L. and Green , I. 2005 . A Finite Element Study of Elasto-Plastic Hemispherical Contact Against a Rigid Flat . ASME Journal of Tribology , vol. 127 : 343 – 354 .
   Google Scholar
• Tabor , D. 1951 . The Hardness Of Materials , Oxford : Clarendon Press .
   Google Scholar
• Malayalamurthi , R. and Marappan , R. . A Critical Investigation on the Nature of Material Dependency of Elastic-plastic Contact Behavior . Proc. Of STLE/ASME 2007 International Joint Tribology Conference, CDROM . San Diego, USA. pp. 557 – 559 . ASME .
   Google Scholar
• Malayalamurthi , R. and Marappan , R. 2008 . Elastic-plastic Contact Behavior of a Sphere Loaded Against a Rigid Flat . Mechanics of Advanced Materials and Structures , vol. 15 ( 4 ) : 364 – 370 .
   Google Scholar
• Chang , W. R. , Etsion , I. and Bogy , D. B. 1987 . An Elastic-Plastic Model for the Contact of Rough Surfaces . ASME Journal of Tribology , vol. 109 : 257 – 263 .
   Google Scholar
• Chang , W. R. , Etsion , I. and Bogy , D. B. 1988 . Static Friction Coefficient Model for Metallic Rough Surfaces . ASME Journal of Tribology , vol. 110 : 57 – 63 .
   Google Scholar
• Marin , J. 1966 . Mechanical Behavior Engineering Materials , 10 – 18 . New Delhi : Prentice-Hall of India (Pvt.) Ltd. .
   Google Scholar