Elastic–plastic spherical contact under combined normal and tangential loading in full stick

The behavior of an elastic–plastic contact between a deformable sphere and a rigid flat under combined normal and tangential loading with full stick contact condition is investigated theoretically. Sliding inception is treated as a plastic yield failure mechanism, which allows static friction modeling under highly adhesive conditions. Several contact parameters such as: junction tangential stiffness, static friction force and static friction coefficient are extensively investigated. The phenomenon of junction growth and the evolution of the plastic zone in the contact region are briefly described. It is found that at low normal dimensionless loads the static friction coefficient decreases sharply with increasing normal load, in breach with the classical laws of friction. As the normal load further increases the static friction coefficient approaches a constant value that is about 0.3 for many material properties combinations.

[1]  R. D. Arnell,et al.  The development of a finite element model to simulate the sliding interaction between two, three-dimensional, elastoplastic, hemispherical asperities , 2000 .

[2]  D. A. Hills,et al.  Contact of dissimilar elastic cylinders under normal and tangential loading , 1988 .

[3]  Mircea Sofonea,et al.  A quasistatic contact problem for an elastic perfectly plastic body with Tresca's friction , 1999 .

[4]  Leon M Keer,et al.  Rough Contact Between Elastically and Geometrically Identical Curved Bodies , 1982 .

[5]  J. Oden,et al.  Computational micro- and macroscopic models of contact and friction: formulation, approach and applications , 1998 .

[6]  F. P. Bowden,et al.  The Friction and Lubrication of Solids , 1964 .

[7]  Majid Bahrami,et al.  A Compact Model for Spherical Rough Contacts , 2005 .

[8]  Loc Vu-Quoc,et al.  An accurate and efficient tangential force–displacement model for elastic frictional contact in particle-flow simulations , 1999 .

[9]  I. F. Collins,et al.  Plane strain stress distributions in discrete and blended coated solids under normal and sliding contact , 1995 .

[10]  Yan Liu,et al.  Finite element analysis of the initial yielding behavior of a hard coating/substrate system with functionally graded interface under indentation and friction , 2000 .

[11]  Izhak Etsion,et al.  Static Friction Coefficient Model for Metallic Rough Surfaces , 1988 .

[12]  I. Etsion,et al.  The effect of contact conditions and material properties on the elasticity terminus of a spherical contact , 2006 .

[13]  P. Eberhard,et al.  Frictional contact of flexible and rigid bodies , 2002 .

[14]  O. Richmond,et al.  Couette flows of rigid/plastic solids: analytical examples of the interaction of constitutive and frictional laws , 2001 .

[15]  E. Rabinowicz,et al.  Friction and Wear of Materials , 1966 .

[16]  Raymond D. Mindlin,et al.  Compliance of elastic bodies in contact , 1949 .

[17]  Tamás Szabó,et al.  Solution of contact optimization problems of cylindrical bodies using hp‐FEM , 2002 .

[18]  Patrick Hild,et al.  A mixed finite element method and solution multiplicity for Coulomb frictional contact , 2003 .

[19]  Kyriakos Komvopoulos,et al.  Three-dimensional finite element analysis of subsurface stress and strain fields due to sliding contact on an elastic-plastic layered medium , 1997 .

[20]  Effects of Friction on the Contact and Deformation Behavior in Sliding Asperity Contacts , 2003 .

[21]  David Tabor,et al.  Junction growth in metallic friction: the role of combined stresses and surface contamination , 1959, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[22]  J A Ogilvy.  Numerical simulation of elastic-plastic contact between anisotropic rough surfaces , 1992 .

[23]  Izhak Etsion,et al.  A Static Friction Model for Elastic-Plastic Contacting Rough Surfaces , 2004 .

[24]  K. Johnson.  Contact Mechanics: Frontmatter , 1985 .

[25]  Kyriakos Komvopoulos,et al.  Three-Dimensional Finite Element Analysis of Surface Deformation and Stresses in an Elastic-Plastic Layered Medium Subjected to Indentation and Sliding Contact Loading , 1996 .

[26]  Nannaji Saka,et al.  Finite element analysis of an elastic-plastic two-layer half-space: sliding contact , 1991 .

[27]  G. Hamilton,et al.  Explicit Equations for the Stresses beneath a Sliding Spherical Contact , 1983 .

[28]  John A. Tichy,et al.  Review of solid mechanics in tribology , 2000 .

[29]  Izhak Etsion,et al.  A Semi-Analytical Solution for the Sliding Inception of a Spherical Contact , 2003 .

[30]  J. S. Courtney‐Pratt,et al.  The effect of a tangential force on the contact of metallic bodies , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.