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 / F. Dassi, C. Lovadina, M. Visinoni. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 364(2020 Jun), pp. 112910.1-112910.17. [10.1016/j.cma.2020.112910]
A three-dimensional Hellinger–Reissner virtual element method for linear elasticity problems
C. Lovadina
;M. Visinoni
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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