121 citations · 241 across the 8 of their papers we have counts for
9 papers
A node-based uniform strain virtual element method for elastoplastic solids
Rodrigo Silva-Valenzuela, Alejandro Ortiz-Bernardin, Edoardo Artioli
A recently proposed node-based uniform strain virtual element method (NVEM) is here extended to small strain elastoplastic solids. In the proposed method, the strain is averaged at…
Curvilinear Virtual Elements for 2D solid mechanics applications
E. Artioli, L. Beirão da Veiga, F. Dassi
In the present work we generalize the curvilinear Virtual Element technology, introduced for a simple linear scalar problem in a previous work, to generic 2D solid mechanic problem…
A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition
R. Silva-Valenzuela, A. Ortiz-Bernardin, N. Sukumar +2
In this paper, we present a novel nodal integration scheme for meshfree Galerkin methods that draws on the mathematical framework of the virtual element method. We adopt linear max…
A Dual Hybrid Virtual Element Method for Plane Elasticity Problems
Edoardo Artioli, Stefano de Miranda, Carlo Lovadina +1
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…
Virtual Element Method: an equilibrium-based stress recovery procedure
Edoardo Artioli, Stefano de Miranda, Carlo Lovadina +1
Within the framework of the displacement-based Virtual Element Method (VEM) for plane elasticity a significant problem is represented by an accurate evaluation of the stress field.…
A Family of Virtual Element Methods for Plane Elasticity Problems Based on the Hellinger-Reissner Principle
Edoardo Artioli, Stefano de Miranda, Carlo Lovadina +1
A family of Virtual Element schemes based on the Hellinger-Reissner variational principle is presented. A convergence and stability analysis is rigorously developed. Numerical test…
A Stress/Displacement Virtual Element Method for Plane Elasticity Problems
E. Artioli, S. de Miranda, C. Lovadina +1
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 for…
Arbitrary order 2D virtual elements for polygonal meshes: Part II, inelastic problem
Edoardo Artioli, Lourenco Beirão da Veiga, Carlo Lovadina +1
The present paper is the second part of a twofold work, whose first part is reported in [3], concerning a newly developed Virtual Element Method (VEM) for 2D continuum problems. Th…
Arbitrary order 2D virtual elements for polygonal meshes: Part I, elastic problem
Edoardo Artioli, Lourenco Beirao da Veiga, Carlo Lovadina +1
The present work deals with the formulation of a Virtual Element Method (VEM) for two dimensional structural problems. The contribution is split in two parts: in part I, the elasti…