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Acta Mechanica

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31-03-2023 | Original Paper

Finite element analysis of compressible transversely isotropic hyperelastic shells

Authors: Alireza Beheshti, Reza Ansari

Published in: Acta Mechanica | Issue 7/2023

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Abstract

The focus of the current work is on the large deformation analysis of shells made of a transversely isotropic material. For this purpose, a higher-order shell model is adopted and strains are derived and subsequently the stress field of a hyperelastic medium is extracted. Then, by taking advantage of the principle of virtual work, the so-called weak form is obtained. A four-node shell element is developed enriched by remedies for alleviation of locking incorporating transverse shear, membrane and curvature-thickness locking for a compressible anisotropic medium. Finally, some examples are addressed to show the performance of the proposed element as well as anisotropy effects.

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Title: Finite element analysis of compressible transversely isotropic hyperelastic shells
Authors: Alireza Beheshti
Reza Ansari
Publication date: 31-03-2023
Publisher: Springer Vienna
Published in: Acta Mechanica / Issue 7/2023
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-023-03536-z

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Finite element analysis of compressible transversely isotropic hyperelastic shells

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