Finite element analysis of wrinkling membr large deformations

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Membrane wrinkling problems are formulated using the geometrically nonlinear finite element method with convected coordinates. A membrane structure which is initially in an under-constrained state cannot resist compressive stresses and experiences out-of-plane deformation to avoid occurrence of compressive stresses. When a membrane is in the state of wrinkling, it is crucial to determine the wrinkling direction and the corresponding stress state for an analysis of the wrinkled membrane. Tensile strain energy is defined to correctly and simply evaluate the wrinkling directions based on the assumption that wrinkles are aligned to maximize tensile strain energy. This approach requires neither extra parameter nor kinematic assumption to predict wrinkle orientation. A pseudo-dynamic method is also introduced to initiate Newton-Raphson solution procedures for the analysis of under-constrained membranes. Several benchmark problems are analyzed to demonstrate the effectiveness and accuracy of the proposed formulation, and a space inflatable reflector example is also presented. (c) 2006 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2006-05
Language
English
Article Type
Article
Keywords

DYNAMIC RELAXATION; MATERIAL MODEL

Citation

FINITE ELEMENTS IN ANALYSIS AND DESIGN, v.42, no.8-9, pp.780 - 791

ISSN
0168-874X
URI
http://hdl.handle.net/10203/89026
Appears in Collection
ME-Journal Papers(저널논문)
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