Rigid Punch on Stressed Orthotropic Half-Plane With Partial Slip

[+] Author and Article Information
H. L. Bjarnehed

Division of Solid Mechanics, Chalmers University of Technology, S-412 96 Göteborg, Sweden

J. Appl. Mech 58(1), 128-133 (Mar 01, 1991) (6 pages) doi:10.1115/1.2897139 History: Received January 02, 1990; Revised April 10, 1990; Online March 31, 2008


An orthotropic half-plane carrying a transverse uniaxial stress and loaded perpendicularly on the free edge by a rigid flat punch is considered. Governing integral equations are stated for the unknown contact stresses between the punch and the half-plane. An analytical solution for contact with complete adhesion and a numerical solution with limiting friction, according to the Coulomb friction law, are presented. Besides distributions of contact stresses the numerical results show relations between vertical load, applied uniform foundation stress, coefficient of Coulomb friction, and size of the slip region.

Copyright © 1991 by The American Society of Mechanical Engineers
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