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Wrinkling of finite-strain membranes with mixed solid-shell elements

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Abstract

This work addresses the wrinkling of thin shells and membranes by stackable solid shells developed by our group. Formulation is now equipped with constitutive-based thickness extensibility. Both tension and shearing deformation modes are considered. The solid-shell formulation follows our previous work, with assumed natural shear strains and assumed in-plane stresses with condensed-out stress parameters. In addition, a combined finite strain plasticity constitutive/element framework is adopted, with the details concerning integration and null stress components being described. Four examples are presented with excellent results from the point of view of accuracy and realism. Specifically, a bilayer problem is solved with high accuracy with respect to experimental measurements, which would be difficult to address with classical shell or membrane formulations. Overall, the reduced constitutive law and the solid shell is applicable to problems that otherwise would require dedicated formulations.

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Acknowledgements

The authors acknowledge the support of FCT, through IDMEC, under LAETA, project UIDB/50022/2020.

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Authors and Affiliations

  1. DEM Mechanical Engineering Department, Instituto Superior Técnico, University of Lisbon, Avenida Rovisco Pais, 1049-001, Lisbon, Portugal

    P. Areias & N. Silvestre

  2. IDMEC, Lisbon, Portugal

    P. Areias & N. Silvestre

  3. ISM Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstraße 15, 99423, Weimar, Germany

    T. Rabczuk

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  1. P. Areias
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  2. N. Silvestre
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  3. T. Rabczuk
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Correspondence to P. Areias.

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Areias, P., Silvestre, N. & Rabczuk, T. Wrinkling of finite-strain membranes with mixed solid-shell elements. Engineering with Computers 38, 5309–5320 (2022). https://doi.org/10.1007/s00366-022-01614-9

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  • DOI: https://doi.org/10.1007/s00366-022-01614-9

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