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RESEARCH PAPERS

The Wrinkling of Thin Membranes: Part I—Theory

[+] Author and Article Information
D. G. Roddeman, J. Drukker

Department of Anatomy and Embryology, University of Limburg, 6200 MD Maastricht, The Netherlands

C. W. J. Oomens, J. D. Janssen

Department of Mechanical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands

J. Appl. Mech 54(4), 884-887 (Dec 01, 1987) (4 pages) doi:10.1115/1.3173133 History: Received December 15, 1986; Revised April 20, 1987; Online July 21, 2009

Abstract

A method to describe the stress situation in a wrinkled membrane is presented. In this paper it will be shown that a special deformation tensor can be chosen which leads to the correct stress state of a membrane after wrinkling when it is substituted in the constitutive equation. The method can be used for anisotropic membranes in geometrically and physically nonlinear analysis. The case of simple shear and stretching of a membrane is considered to illustrate the potency of the method.

Copyright © 1987 by ASME
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