A Virtual Element Method for elastic and inelastic problems on polytope meshes

We present a Virtual Element Method (VEM) for possibly nonlinear elastic and inelastic problems, mainly focusing on a small deformation regime. The numerical scheme is based on a low-order approximation of the displacement field, as well as a suitable treatment of the displacement gradient. The prop...

Full description

Saved in:
Bibliographic Details
Published inComputer methods in applied mechanics and engineering Vol. 295; pp. 327 - 346
Main Authors Beirão da Veiga, L., Lovadina, C., Mora, D.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.10.2015
Subjects
Convergence analysis
Elasticity
Polygonal meshes
Virtual Element Method
Elasticity
Polygonal meshes
Virtual Element Method
Convergence analysis
Online AccessGet full text
ISSN0045-7825
1879-2138
DOI10.1016/j.cma.2015.07.013

Cover

More Information
Summary:We present a Virtual Element Method (VEM) for possibly nonlinear elastic and inelastic problems, mainly focusing on a small deformation regime. The numerical scheme is based on a low-order approximation of the displacement field, as well as a suitable treatment of the displacement gradient. The proposed method allows for general polygonal and polyhedral meshes, it is efficient in terms of number of applications of the constitutive law, and it can make use of any standard black-box constitutive law algorithm. Some theoretical results have been developed for the elastic case. Several numerical results within the 2D setting are presented, and a brief discussion on the extension to large deformation problems is included.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2015.07.013