Stiffness of frictional contact of dissimilar elastic solids
Abstract
The classic Sneddon relationship between the normal contact stiffness and the contact size is valid for axisymmetric, frictionless contact, in which the two contacting solids are approximated by elastic halfspaces. Deviation from this result critically affects the accuracy of the load and displacement sensing nanoindentation techniques. This study gives a thorough numerical and analytical investigation of corrections needed to the Sneddon solution when finite Coulomb friction exists between an elastic halfspace and a flatended rigid punch with circular or noncircular shape. Because of linearity of the Coulomb friction, the correction factor is found to be a function of the friction coefficient, Poisson's ratio, and the contact shape, but independent of the contact size. Two issues are of primary concern in the finite element simulations – adequacy of the mesh near the contact edge and the friction implementation methodology. Although the stick or slip zone sizes are quite different from the penalty or Lagrangian methods, the calculated contact stiffnesses are almost the same and may be considerably larger than those in Sneddon's solution. For circular punch contact, the numerical solutions agree remarkably well with a previous analytical solution. For noncircular punch contact, the results can be represented using the equivalence betweenmore »
 Authors:

 Korea Atomic Energy Research Inst., Daejeon (Korea, Republic of). SFR System Design Division
 Univ. of Tennessee, Knoxville, TN (United States). Dept. of Materials Science and Engineering; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Materials Science and Technology Division
 Brown Univ., Providence, RI (United States). School of Engineering
 Univ. of Tennessee, Knoxville, TN (United States). Dept. of Materials Science and Engineering
 Texas A & M Univ., College Station, TX (United States). Dept. of Materials Science and Engineering
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States); Korea Atomic Energy Research Inst., Daejeon (Korea, Republic of)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22); Korea Research Foundation
 OSTI Identifier:
 1423063
 Alternate Identifier(s):
 OSTI ID: 1567711
 Grant/Contract Number:
 AC0500OR22725
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of the Mechanics and Physics of Solids
 Additional Journal Information:
 Journal Volume: 112; Journal ID: ISSN 00225096
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 36 MATERIALS SCIENCE; contact mechanics; stiffness; bimaterial fracture mechanics
Citation Formats
Lee, Jin Haeng, Gao, Yanfei, Bower, Allan F., Xu, Haitao, and Pharr, George M. Stiffness of frictional contact of dissimilar elastic solids. United States: N. p., 2017.
Web. doi:10.1016/j.jmps.2017.12.010.
Lee, Jin Haeng, Gao, Yanfei, Bower, Allan F., Xu, Haitao, & Pharr, George M. Stiffness of frictional contact of dissimilar elastic solids. United States. doi:10.1016/j.jmps.2017.12.010.
Lee, Jin Haeng, Gao, Yanfei, Bower, Allan F., Xu, Haitao, and Pharr, George M. Fri .
"Stiffness of frictional contact of dissimilar elastic solids". United States. doi:10.1016/j.jmps.2017.12.010. https://www.osti.gov/servlets/purl/1423063.
@article{osti_1423063,
title = {Stiffness of frictional contact of dissimilar elastic solids},
author = {Lee, Jin Haeng and Gao, Yanfei and Bower, Allan F. and Xu, Haitao and Pharr, George M.},
abstractNote = {The classic Sneddon relationship between the normal contact stiffness and the contact size is valid for axisymmetric, frictionless contact, in which the two contacting solids are approximated by elastic halfspaces. Deviation from this result critically affects the accuracy of the load and displacement sensing nanoindentation techniques. This study gives a thorough numerical and analytical investigation of corrections needed to the Sneddon solution when finite Coulomb friction exists between an elastic halfspace and a flatended rigid punch with circular or noncircular shape. Because of linearity of the Coulomb friction, the correction factor is found to be a function of the friction coefficient, Poisson's ratio, and the contact shape, but independent of the contact size. Two issues are of primary concern in the finite element simulations – adequacy of the mesh near the contact edge and the friction implementation methodology. Although the stick or slip zone sizes are quite different from the penalty or Lagrangian methods, the calculated contact stiffnesses are almost the same and may be considerably larger than those in Sneddon's solution. For circular punch contact, the numerical solutions agree remarkably well with a previous analytical solution. For noncircular punch contact, the results can be represented using the equivalence between the contact problem and bimaterial fracture mechanics. Finally, the correction factor is found to be a product of that for the circular contact and a multiplicative factor that depends only on the shape of the punch but not on the friction coefficient or Poisson's ratio.},
doi = {10.1016/j.jmps.2017.12.010},
journal = {Journal of the Mechanics and Physics of Solids},
number = ,
volume = 112,
place = {United States},
year = {2017},
month = {12}
}
Web of Science