Variational Principles for Some Nonstandard Elastic Problems

[+] Author and Article Information
R. T. Shield

Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801

J. Appl. Mech 54(4), 768-771 (Dec 01, 1987) (4 pages) doi:10.1115/1.3173114 History: Received January 02, 1987; Online July 21, 2009


Variational principles are derived for some nonstandard problems involving elastic bodies in smooth contact. For these problems, the portions of the surfaces where one boundary condition holds rather than another must be determined as part of the solution to the problem. Cases considered include a body containing a crack or delamination, indentation by a rigid punch, and contact with an elastic foundation.

Copyright © 1987 by ASME
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