Study on the Vector Quadrilateral Isoparametric Shell Element with Shear Deformation

Based on the linear superposition of the quadrilateral isoparametric membrane element and quadrilateral Mindlin plate element, basic vector formulas for the quadrilateral isoparametric shell element with the shear deformation is derived. Two different coordinate modes for updating the particle displ...

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Bibliographic Details
Published in:Advances in civil engineering 2022, Vol.2022 (1)
Main Authors: Wang, Zhen, Zhao, Yang, Ding, Zhi, Tang, Huiping
Format: Article
Language:English
Subjects:
Alliances
Buckling
Civil engineering
Deformation
Deformation analysis
Elastoplasticity
Internal forces
Mindlin plates
Quadrilaterals
Shear deformation
Shells
Shells (structural forms)
Vibration analysis
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Summary:Based on the linear superposition of the quadrilateral isoparametric membrane element and quadrilateral Mindlin plate element, basic vector formulas for the quadrilateral isoparametric shell element with the shear deformation is derived. Two different coordinate modes for updating the particle displacement and the element node internal force are put forward. The uniform numerical solution for an irregular quadrilateral element is realized by the isoparametric integral scheme along the element plane. Then, the bilinear elastoplastic constitutive of material is introduced into the vector finite shell element, and the nonlinear effect of the material is realized based on the integral method along the thickness. On this basis, the nonlinear calculation and analysis program of the quadrilateral isoparametric shell element is developed. Numerical example results show that the static and dynamic analysis, large deformation and large rotation analysis, and buckling analysis can all be well performed for the shell structures by the developed program, which verifies the validity of theoretical derivation and computer program.
ISSN:1687-8086
1687-8094
DOI:10.1155/2022/4412788