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RESEARCH PAPERS

The Wrinkling of Thin Membranes: Part II—Numerical Analysis

[+] 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), 888-892 (Dec 01, 1987) (5 pages) doi:10.1115/1.3173134 History: Received December 15, 1986; Revised April 20, 1987; Online July 21, 2009

Abstract

Using a weighted residual method, a geometrically and physically nonlinear membrane element is derived, which can be used in the analysis of anisotropic membranes. What is special about the formulation is that the wrinkling behavior of the element is incorporated. If wrinkling occurs the stress situation in the element is determined by making use of a modified deformation tensor. A structure may have completely slack regions, leading to a singular stiffness matrix. Because of this we have chosen to use a restricted step method for the iterative solution procedure. A simple shear test is used to compare numerical and analytical results which show good agreement.

Copyright © 1987 by ASME
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