A Dual Hybrid Virtual Element Method for Plane Elasticity Problems
For researchers in computational mechanics, this provides a new formulation that may offer advantages over existing methods, though the improvement is incremental.
The paper introduces a dual hybrid Virtual Element Method for plane elasticity problems, proving stability and convergence, and demonstrating first-order accuracy on benchmarks and a microelectromechanical system, showing it as a valid alternative to low-order displacement-based VEM.
A dual hybrid Virtual Element scheme for plane linear elastic problems is presented and analysed. In particular, stability and convergence results have been established. The method, which is first order convergent, has been numerically tested on two benchmarks with closed form solution, and on a typical microelectromechanical system. The numerical outcomes have proved that the dual hybrid scheme represents a valid alternative to the more classical low-order displacement-based Virtual Element Method.