The Problem of Minimizing Stress Concentration at a Rigid Inclusion

[+] Author and Article Information
L. Wheeler

Department of Mechanical Engineering, University of Houston, Houston, Texas 77004

J. Appl. Mech 52(1), 83-86 (Mar 01, 1985) (4 pages) doi:10.1115/1.3169031 History: Received October 01, 1983; Revised May 01, 1984; Online July 21, 2009


With the objective of minimizing stress concentration, the plane-strain problem of the optimum shape for a rigid inclusion in an elastic matrix of unbounded extent is investigated. It is shown rigorously that the underlying variational problem is reducible to a more elementary problem which can be solved by conventional methods to arrive at the optimum shape, which is a suitably proportioned ellipse.

Copyright © 1985 by ASME
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