The numerical approximation of 2D elasticity problems is considered, in the framework of the small strain theory and in connection with the mixed Hellinger–Reissner variational formulation. A low-order Virtual Element Method (VEM) with a priori symmetric stresses is proposed. Several numerical tests are provided, along with a rigorous stability and convergence analysis.
A stress/displacement Virtual Element method for plane elasticity problems / Artioli, E; De Miranda, S; Lovadina, C; Patruno, L. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 325:(2017), pp. 155-174. [10.1016/j.cma.2017.06.036]
A stress/displacement Virtual Element method for plane elasticity problems
Artioli E;
2017
Abstract
The numerical approximation of 2D elasticity problems is considered, in the framework of the small strain theory and in connection with the mixed Hellinger–Reissner variational formulation. A low-order Virtual Element Method (VEM) with a priori symmetric stresses is proposed. Several numerical tests are provided, along with a rigorous stability and convergence analysis.
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