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Article
Wrinkling of Cylindrical Membranes
with Non-uniform Thickness.
| Authors: |
Patil, A.P., Nordmark, A., Eriksson, |
| Document Type: |
Article |
| Pubstate: |
Submitted |
| Journal: |
European Journal of Mechanics-A/Solids |
| Volume: |
54
1-12 |
| Year: |
2015 |
AbstractThin membranes are prone to wrinkling under various loading, geometric and boundary conditions, affecting their functionality. We consider a hyperelastic cylindrical membrane with non-uniform thickness pressurized by internal gas or fluid. When pre-stretched and inflated, the wrinkles are generated in a certain portion of the membrane depending on the loading medium and boundary conditions. The wrinkling is determined through a criterion based on kinematic conditions obtained from non-negativity of Cauchy principal stresses. The equilibrium solution of a wrinkled membrane is obtained by a specified combination of standard and relaxed strain energy function. The governing equations are discretized by a finite difference approach and a Newton–Raphson method is used to obtain the solution. An interesting relationship between stretch induced softening/stiffening with the wrinkling phenomenon has been discovered. The effects of pre-stretch, inflating medium, thickness variations and boundary conditions on the wrinkling patterns are clearly delineated.
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