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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