MOVING CONTACT PROBLEMS OF A RIGID PROFILE ON A VISCOELASTIC BASE

Abstract

Two-dimensional steady-state solutions (suitable for computer evaluation) are given for moving normal contact loads (sliding or rolling) on the surface of a semi-infinite viscoelastic base. Examples worked out include (a) the rigid cylinder rolling on a material haveng 5 relaxation times; (b) the flat punch with corners rounded to eliminate infinite pressures. The results for (a) show that the variation of rolling resistance over a range of velocities becomes smoother with the greater number of relaxation times. The results for (b) show the dependence of the pressure peaks, near the ends of the contact, on the nature of rounding of the corners and the tilt of the punch. Three dimensional solutions are considered for the purely viscous material. It is shown that there is a steady state for a base of finite thickness, but not for the semi-infinite base.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1964
Accession Number
AD0605361

Entities

People

  • C. B. Loutzenheiser
  • J. N. Goodier

Organizations

  • Stanford University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Civil Engineering
  • Convolution Integrals
  • Differential Equations
  • Displacement
  • Elastic Materials
  • Equations
  • Friction
  • Integral Equations
  • Load Distribution
  • Mathematical Analysis
  • Mechanics
  • New York
  • Pressure Distribution
  • Relaxation Time
  • Sliding Contacts
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

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