We present a Virtual Element Method for the 3D linear elasticity problems, based on Hellinger–Reissner variational principle. In the small strain theory, we propose a low-order scheme with a-priori symmetric stresses and continuous tractions across element interfaces. A convergence and stability analysis is developed and we confirm the theoretical predictions via some numerical tests.
A three-dimensional Hellinger–Reissner virtual element method for linear elasticity problems
Dassi F.;Lovadina C.;Visinoni M.
2020-01-01
Abstract
We present a Virtual Element Method for the 3D linear elasticity problems, based on Hellinger–Reissner variational principle. In the small strain theory, we propose a low-order scheme with a-priori symmetric stresses and continuous tractions across element interfaces. A convergence and stability analysis is developed and we confirm the theoretical predictions via some numerical tests.File in questo prodotto:
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