Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 2024

A Hu–Washizu stabilization-free Virtual Element Method for 3D linear elasticity with star-convex polyhedrons

Résumé

We present a Hu-Washizu stabilization-free Virtual Element Method for three-dimensional linear elasticity. To that end, the discrete formulation of the problem is obtained using the three-fields Hu-Washizu variational approach. The discrete displacement space is given as an enhanced virtual element space which introduces a new projector that only requires integration over the edges of the element. The well-posedness of the proposed formulation is studied using an eigenvalue analysis and its performances are assessed on various 3D linear elasticity problems. The numerical examples use star-convex elements and, for the first time in the literature, include concave cases.

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hal-04718497 , version 1 (02-10-2024)

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Timothée Bouchez, Anthony Gravouil, Nawfal Blal, Anthony Giacoma, Emmanuel Delor, et al.. A Hu–Washizu stabilization-free Virtual Element Method for 3D linear elasticity with star-convex polyhedrons. Computer Methods in Applied Mechanics and Engineering, 2024, 432, pp.117420. ⟨10.1016/j.cma.2024.117420⟩. ⟨hal-04718497⟩
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