Wrinkling of cylindrical membranes with non-uniform thickness
2015 (English)In: European journal of mechanics. A, Solids, ISSN 0997-7538, E-ISSN 1873-7285, Vol. 54, 1-10 p.Article in journal (Refereed) Published
Thin 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. (C) 2015 Elsevier Masson SAS. All rights reserved.
Place, publisher, year, edition, pages
2015. Vol. 54, 1-10 p.
Wrinkling, Pressure loadings, Relaxed strain energy
IdentifiersURN: urn:nbn:se:kth:diva-174910DOI: 10.1016/j.euromechsol.2015.05.015ISI: 000361581400001ScopusID: 2-s2.0-84947943118OAI: oai:DiVA.org:kth-174910DiVA: diva2:865454
QC 201510282015-10-282015-10-092016-05-18Bibliographically approved