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 / E. Artioli, S. de Miranda, C. Lovadina, L. Patruno. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - 325(2017), pp. 155-174.

A stress/displacement Virtual Element method for plane elasticity problems

C. Lovadina
;
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.
Elasticity; Hellinger-€“Reissner; Low order method; Symmetric stress; Virtual element method; Computational Mechanics; Mechanics of Materials; Mechanical Engineering; Physics and Astronomy (all); Computer Science Applications; 1707; Computer Vision and Pattern Recognition
Settore MAT/08 - Analisi Numerica
Settore ICAR/08 - Scienza delle Costruzioni
2017
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/544168
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