A Nonlinear Theory for Elastic Plates With Application to Characterizing Paper Properties

[+] Author and Article Information
M. W. Johnson

Department of Engineering Mechanics, The University of Wisconsin, Madison, Wis. 53706

T. J. Urbanik

Forest Products Laboratory, Forest Service, U.S. Department of Agriculture, Madison, Wis. 53705

J. Appl. Mech 51(1), 146-152 (Mar 01, 1984) (7 pages) doi:10.1115/1.3167559 History: Received June 01, 1982; Revised July 01, 1983; Online July 21, 2009


A theory of thin plates which is physically as well as kinematically nonlinear is developed and used to characterize elastic material behavior for arbitrary stretching and bending deformations. It is developed from a few clearly defined assumptions and uses a unique treatment of strain energy. An effective strain concept is introduced to simplify the theory to a special theory having fewer parameters and being capable of characterizing paper. A procedure is given for matching the special theory to edgewise compressive data of paperboard.

Copyright © 1984 by ASME
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