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Archive of Applied Mechanics

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19.07.2019 | Original

Numerical analysis of the wrinkling behavior of thin membranes

verfasst von: Xiaofeng Wang, Liang Yin, Qingshan Yang

Erschienen in: Archive of Applied Mechanics | Ausgabe 11/2019

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Abstract

Membranes are widely applied in the large-span buildings and spatial deployable structures. They are prone to wrinkle under compression due to their small bending stiffness. The wrinkling deformation may affect the surface precision of a membrane structure and its static and dynamic behaviors. Research on the wrinkling behavior of a membrane and its variation with the wrinkle-influencing factors would shed light on the evolution of wrinkles and contribute significantly to the effective control over the wrinkling deformation. In this paper, a rectangular membrane under shear is numerically studied based on the stability theory of plates and shells to explore the wrinkle-influencing factors, such as boundary conditions, pre-stress, thickness and material constants, and their effects on the characteristic parameters of wrinkles. Besides, some of the results are also compared with those derived from the membrane element previously proposed by the authors for a further exploration. Some new and interesting findings are obtained.

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At the beginning, the authors did try the elastic model and a few hyper-elastic models in the analysis, but the numerical solutions obtained from them did not agree well with the experimental results in the literature.

When the wrinkling model based on the stability theory of plates and shells is employed for a nonlinear buckling analysis, a much more refined mesh as shown in Fig. 2 is required to accurately characterize the detailed out-of-plane displacement of a membrane induced by wrinkling deformation. Such a refinement of the mesh, however, is not needed when the membrane element is used, because a coarser mesh is able to reflect with a satisfactory accuracy the influence of wrinkling deformation on the in-plane behavior of a membrane. It means that we can use much fewer membrane elements to discretize the membrane if its bending stiffness is not considered. Therefore, in the following analysis with the membrane element, the element size is 15 mm and about 520 three-node triangular elements are obtained after discretization.

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Titel: Numerical analysis of the wrinkling behavior of thin membranes
verfasst von: Xiaofeng Wang
Liang Yin
Qingshan Yang
Publikationsdatum: 19.07.2019
Verlag: Springer Berlin Heidelberg
Erschienen in: Archive of Applied Mechanics / Ausgabe 11/2019
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-019-01583-4

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