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.
Dassi, F., Lovadina, C., Visinoni, M. (2020). A three-dimensional Hellinger–Reissner virtual element method for linear elasticity problems. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 364 [10.1016/j.cma.2020.112910].
A three-dimensional Hellinger–Reissner virtual element method for linear elasticity problems
Dassi, F;
2020
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.
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