A virtual element method for contact

P Wriggers, WT Rust, BD Reddy - Computational Mechanics, 2016 - Springer
The problem of contact between two elastic bodies is addressed computationally using the
virtual element method (VEM). The use of the VEM allows the use of non-matching meshes …

A virtual element method for elastic and inelastic problems on polytope meshes

LB Da Veiga, C Lovadina, D Mora - Computer methods in applied …, 2015 - Elsevier
Abstract 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 …

Arbitrary order 2D virtual elements for polygonal meshes: part I, elastic problem

E Artioli, L Beirão da Veiga, C Lovadina… - Computational …, 2017 - Springer
The present work deals with the formulation of a virtual element method for two dimensional
structural problems. The contribution is split in two parts: in part I, the elastic problem is …

[HTML][HTML] Some basic formulations of the virtual element method (VEM) for finite deformations

H Chi, LB Da Veiga, GH Paulino - Computer Methods in Applied Mechanics …, 2017 - Elsevier
We present a general virtual element method (VEM) framework for finite elasticity, which
emphasizes two issues: element-level volume change (volume average of the determinant …

Mixed virtual element methods for general second order elliptic problems on polygonal meshes

L Beirão da Veiga, F Brezzi, LD Marini… - … Modelling and Numerical …, 2016 - numdam.org
In the present paper we introduce a Virtual Element Method (VEM) for the approximate
solution of general linear second order elliptic problems in mixed form, allowing for variable …

Efficient virtual element formulations for compressible and incompressible finite deformations

P Wriggers, BD Reddy, W Rust, B Hudobivnik - Computational Mechanics, 2017 - Springer
The virtual element method has been developed over the last decade and applied to
problems in elasticity and other areas. The successful application of the method to linear …

A comprehensive analysis of auxetic honeycomb sandwich plates with graphene nanoplatelets reinforcement

NV Nguyen, H Nguyen-Xuan, TN Nguyen, J Kang… - Composite …, 2021 - Elsevier
Nowadays, sandwich plates with cellular core structures are gaining the attention of
researchers owing to their outstanding features. For a better insight into auxetic structures, in …

A brief review on polygonal/polyhedral finite element methods

L Perumal - Mathematical Problems in Engineering, 2018 - Wiley Online Library
This paper provides brief review on polygonal/polyhedral finite elements. Various
techniques, together with their advantages and disadvantages, are listed. A comparison of …

Geometrically nonlinear polygonal finite element analysis of functionally graded porous plates

NV Nguyen, HX Nguyen, S Lee… - Advances in Engineering …, 2018 - Elsevier
In this study, an efficient polygonal finite element method (PFEM) in combination with
quadratic serendipity shape functions is proposed to study nonlinear static and dynamic …

[图书][B] Generalized barycentric coordinates in computer graphics and computational mechanics

K Hormann, N Sukumar - 2017 - books.google.com
In Generalized Barycentric Coordinates in Computer Graphics and Computational
Mechanics, eminent computer graphics and computational mechanics researchers provide …