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Finite element analysis of compressible transversely isotropic hyperelastic shells

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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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Authors and Affiliations

  1. Faculty of Mechanical Engineering, University of Guilan, Rasht, Iran

    Alireza Beheshti & Reza Ansari

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  1. Alireza Beheshti
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  2. Reza Ansari
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Correspondence to Reza Ansari.

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Beheshti, A., Ansari, R. Finite element analysis of compressible transversely isotropic hyperelastic shells. Acta Mech 234, 3061–3079 (2023). https://doi.org/10.1007/s00707-023-03536-z

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