The Sliding of a Rigid Indentor Over a Power Law Viscoelastic Halfspace

Abstract

Closed form solutions are obtained for the problem of a rigid asperity sliding with Coulomb friction over a power law viscoelastic halfspace. The dual integral equations relating the unknown normal traction under the contact interval (also unknown) to the unknown normal displacement outside the contact interval are solved by first reducing the system to a generalized Abel integral equation and then appealing to the theory of Riemann-Hilbert boundary value problems. The physical quantities of interest (eg. the coefficient of sliding friction) are determined for the three canonical indentors: a parabolic punch, a wedge punch and a flat punch. It is observed that for certain power law materials, singularities in the normal traction field occur even for the smooth parabolic indentor.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1977
Accession Number
ADA043232

Entities

People

  • A. Nachman
  • J. R. Walton
  • R. A. Schapery

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Cauchy Problem
  • Complex Variables
  • Discontinuities
  • Equations
  • Friction
  • Integral Equations
  • Integrals
  • Materials
  • Modulus Of Elasticity
  • Pressure Distribution
  • Sliding Contacts
  • Sliding Friction
  • Stresses
  • Traction
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).