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Improved procedures for static and dynamic analyses of wrinkled membranes

Shaw, Amit and Roy, D (2007) Improved procedures for static and dynamic analyses of wrinkled membranes. In: Journal of Applied Mechanics, 74 (3). 590 -594.

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An analysis of large deformations of flexible membrane structures within the tension field theory is considered. A modification-of the finite element procedure by Roddeman et al. (Roddeman, D. G., Drukker J., Oomens, C. W J., Janssen, J. D., 1987, ASME J. Appl. Mech. 54, pp. 884-892) is proposed to study the wrinkling behavior of a membrane element. The state of stress in the element is determined through a modified deformation gradient corresponding to a fictive nonwrinkled surface. The new model uses a continuously modified deformation gradient to capture the location orientation of wrinkles more precisely. It is argued that the fictive nonwrinkled surface may be looked upon as an everywhere-taut surface in the limit as the minor (tensile) principal stresses over the wrinkled portions go to zero. Accordingly, the modified deformation gradient is thought of as the limit of a sequence of everywhere-differentiable tensors. Under dynamic excitations, the governing equations are weakly projected to arrive at a system of nonlinear ordinary differential equations that is solved using different integration schemes. It is concluded that, implicit integrators work much better than explicit ones in the present context.

Item Type: Journal Article
Publication: Journal of Applied Mechanics
Publisher: The American Society of Mechanical Engineers
Additional Information: Copyright of this article belongs to The American Society of Mechanical Engineers.
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 10 Jun 2010 09:51
Last Modified: 10 Jun 2010 09:51
URI: http://eprints.iisc.ac.in/id/eprint/26339

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