A Stress/Displacement Virtual Element Method for Plane Elasticity Problems
This work advances numerical methods for plane elasticity problems by introducing a new VEM approach with symmetric stresses, but it is an incremental contribution within the VEM literature.
The paper develops a low-order Virtual Element Method for 2D plane elasticity using a mixed Hellinger-Reissner formulation with a-priori symmetric stresses, and provides rigorous stability and convergence analysis along with numerical tests.
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.