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.
Artioli, E., de Miranda, S., Lovadina, C., Patruno, L. (2017). A stress/displacement Virtual Element method for plane elasticity problems. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 325, 155-174 [10.1016/j.cma.2017.06.036].
A stress/displacement Virtual Element method for plane elasticity problems
de Miranda, S.;Patruno, L.
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.File in questo prodotto:
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PP_A stressdisplacement Virtual.pdf
Open Access dal 14/07/2019
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