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A one-field discontinuous Galerkin formulation of non-linear Kirchhoff-Love shells

  • Finite element technology and multi-scale methods for composites, metallic sheets and coating behaviour models: R. Alves de Sousa, R. Valente, L. Duchêne, V. Kouznetsova
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Abstract

Spatially-discontinuous Galerkin methods constitute a generalization of weak formulations, which allow for discontinuities of the problem unknowns in its domain interior. This is particularly appealing for problems involving high-order derivatives, since discontinuous Galerkin (DG) methods can also be seen as a means of enforcing higher-order continuity requirements. Recently, DG formulations of linear and non-linear Kirchhoff-Love shell theories have been proposed. This new one-field formulations take advantage of the weak enforcement in such a way that the displacements are the only discrete unknowns, while the C1 continuity is enforced weakly. The Resulting one field formulation is a simple and efficient method to model thin structures and can be applied to various computational methods.

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Authors and Affiliations

  1. University of Liège - Computational & Multiscale Mechanics of Materials, Liège, Belgium

    L. Noels

  2. Chemin des Chevreuils 1, B-4000, Liège, Belgium

    L. Noels

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  1. L. Noels
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Correspondence to L. Noels.

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Noels, L. A one-field discontinuous Galerkin formulation of non-linear Kirchhoff-Love shells. Int J Mater Form 2 (Suppl 1), 877 (2009). https://doi.org/10.1007/s12289-009-0448-2

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  • DOI: https://doi.org/10.1007/s12289-009-0448-2

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