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Title: Stiffness of frictional contact of dissimilar elastic solids

Journal Article · · Journal of the Mechanics and Physics of Solids
 [1];  [2];  [3];  [4];  [5]
  1. Korea Atomic Energy Research Inst., Daejeon (Korea, Republic of). SFR System Design Division
  2. 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
  3. Brown Univ., Providence, RI (United States). School of Engineering
  4. Univ. of Tennessee, Knoxville, TN (United States). Dept. of Materials Science and Engineering
  5. Texas A & M Univ., College Station, TX (United States). Dept. of Materials Science and Engineering
+ Show Author Affiliations

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 half-spaces. 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 half-space and a flat-ended 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 non-circular punch contact, the results can be represented using the equivalence between the contact problem and bi-material 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.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States); Korea Atomic Energy Research Inst., Daejeon (Korea, Republic of)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Korea Research Foundation
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1423063
Alternate ID(s):
OSTI ID: 1567711
Journal Information:
Journal of the Mechanics and Physics of Solids, Vol. 112; ISSN 0022-5096
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 10 works
Citation information provided by
Web of Science

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Cited By (1)

Effect of surfaces similarity on contact resistance of fractal rough surfaces under cyclic loading journal March 2018

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Related Subjects

36 MATERIALS SCIENCE
contact mechanics
stiffness
bi-material fracture mechanics