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A wrinkling model for pneumatic membranes and the complementarity computational framework

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Indexed by:Journal Papers

Date of Publication:2020-01-01

Journal:COMPUTATIONAL MECHANICS

Included Journals:EI、SCIE

Volume:65

Issue:1

Page Number:119-134

ISSN No.:0178-7675

Key Words:Pneumatic membranes; Wrinkling model; The co-rotational FEM; Complementarity

Abstract:The paper proposes a complementarity computational framework for the wrinkling analysis of pneumatic membranes under follower loads. Geometric and material nonlinearities are separated by using the co-rotational finite element method. A reasonable wrinkling model is proposed based on the constitutive law of bi-modulus materials in the principal stress space. To improve the convergence, a linear complementarity framework is constructed in the local frame and embedded into the global Newton-Raphson iteration. The proposed method requires no extra solution techniques to ensure convergence, compared with other solution strategies, such as a pseudo-dynamic method and a penalty stabilization method. Three benchmark tests are employed to verify the proposed model and method. The numerical results have a good agreement with the existing numerical and experimental data. Importantly, the proposed computational method can even make a more accurate prediction on the displacement response and wrinkling regions than the post-buckling analysis of thin shells in some situation.

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