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A Generalization of Cattaneo-Mindlin for Thin Strips

[+] Author and Article Information
J. Jäger

IBAMA, Goerdelerstr. 8, D-91058 Erlangen, Germany

J. Appl. Mech 66(4), 1034-1037 (Dec 01, 1999) (4 pages) doi:10.1115/1.2791778 History: Received October 15, 1998; Revised July 09, 1999; Online October 25, 2007

Abstract

In this paper, a generalization of the Cattaneo-Mindlin solution is derived for thin bonded layers with arbitrary surfaces. We assume that equal layers are in contact, and show that the normal and tangential stress displacement equations are uncoupled and of the same form. In this case the stick condition for tangential shift is identical with the contact condition in normal direction, and the tangential problem can be reduced to the normal problem. Finally, a recursive algorithm for general load cases is proposed. We believe that this model illustrates typical features of elastic bodies with friction. It can also serve as a model for memory effects, employing the elastic superposition technique.

Copyright © 1999 by The American Society of Mechanical Engineers
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