Wrinkling of a fiber-reinforced membrane

被引：0

作者：

Shmoylova, E. ^{[1
]}

Dorfmann, A. ^{[1
]}

机构：

[1] Department of Civil and Environmental Engineering, Tufts University, Medford, MA 02155, United States

来源：

Journal of Applied Mechanics, Transactions ASME | 2009年 / 76卷 / 01期

关键词：

In this paper we investigate the response of fiber-reinforced cylindrical membranes subject to axisymmetric deformations. The membrane is considered as an incompressible material; and the phenomenon of wrinkling is taken into account by means of the relaxed energy function. Two cases are considered: transversely isotropic membranes; characterized by one family of fibers oriented in one direction; and orthotropic membranes; characterized by two family of fibers oriented in orthogonal directions. The strain-energy function is considered as the sum of two terms: The first term is associated with the isotropic properties of the base material; and the second term is used to introduce transverse isotropy or orthotropy in the mechanical response. We determine the mechanical response of the membrane as a function of fiber orientations for given boundary conditions. The objective is to find possible fiber orientations that make the membrane as stiff as possible for the given boundary conditions. Specifically; it is shown that for transversely isotropic membranes a unique fiber orientation exists; which does not affect the mechanical response; i.e; the overall behavior is identical to a nonreinforced membrane. Copyright © 2009 by ASME;

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