Multiply Loaded Rigid Punch on a Stressed Orthotopic Half-Plane via a Thin Elastic Layer

[+] Author and Article Information
Hans L. Bjarnehed

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

J. Appl. Mech 59(2S), S115-S122 (Jun 01, 1992) doi:10.1115/1.2899475 History: Received November 28, 1990; Revised May 14, 1991; Online March 31, 2008


A uniaxially stressed orthotropic half-plane indented on the free edge by a multiply loaded rigid punch via a thin elastic layer is considered. The layer is formulated as a generalized Winkler cushion including also shear stresses and strains. Governing singular integral equations are stated for the unknown interface stresses between the cushion and the half-plane. Two kinds of friction conditions between the cushion and half-plane are treated, viz. completely adhesive and frictionless contact. An analytical solution for contact with a rigid cushion and a numerical solution with an elastic cushion are presented. Also, a comparison with a corresponding FEM model is performed. For frictionless contact, some analytical results concerning optimum design of the elastic cushion are given.

Copyright © 1992 by The American Society of Mechanical Engineers
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