Finite element analysis of wrinkling membranes

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A new iterative scheme is proposed for finite element analysis of wrinkling or tension structures. The scheme is based upon the observation that there exists an invariant relationship, due to the uniaxial tensile stress state of wrinkling, between some of the strain components referred to the local frame aligned with wrinkling in a region where wrinkling occurs. This enables us to update the stress state and the internal forces correctly taking into account the existence of wrinkling. The finite element implementation of the scheme is straightforward and simple, and only minor modifications of the existing total Lagrangian finite element codes for membranes are needed The validity of the scheme is demonstrated via numerical examples for the torsion of a membrane and the quasi-static inflation of an automotive airbag, both made of isotropic or anisotropic elastic membranes. The examples suggest that the present iterative scheme has a good convergence characteristic even for a large loading step.
Publisher
ASME-AMER SOC MECHANICAL ENG
Issue Date
1997-06
Language
English
Article Type
Article
Keywords

TENSION STRUCTURES

Citation

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, v.64, no.2, pp.263 - 269

ISSN
0021-8936
URI
http://hdl.handle.net/10203/2714
Appears in Collection
ME-Journal Papers(저널논문)
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