scholarly journals Virtual element formulation for isotropic damage

2018 ◽  
Vol 144 ◽  
pp. 38-48 ◽  
Author(s):  
Maria Laura De Bellis ◽  
Peter Wriggers ◽  
Blaž Hudobivnik ◽  
Giorgio Zavarise
Keyword(s):  
Element Formulation ◽  
Isotropic Damage ◽  
Virtual Element

scholarly journals Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics

2021 ◽  
Vol 383 ◽  
pp. 113917
Author(s):  
Andrea Borio ◽  
François P. Hamon ◽  
Nicola Castelletto ◽  
Joshua A. White ◽  
Randolph R. Settgast
Keyword(s):  
Finite Difference ◽  
Element Formulation ◽  
Virtual Element

scholarly journals Virtual Element Formulation for Finite Strain Elastodynamics

2021 ◽  
Vol 129 (3) ◽  
pp. 1151-1180
Author(s):  
Mertcan Cihan ◽  
BlaŽ Hudobivnik ◽  
Fadi Aldakheel ◽  
Peter Wriggers
Keyword(s):  
Finite Strain ◽  
Element Formulation ◽  
Virtual Element

scholarly journals First-order VEM for Reissner–Mindlin plates

2021 ◽  
Author(s):  
A. M. D’Altri ◽  
L. Patruno ◽  
S. de Miranda ◽  
E. Sacco
Keyword(s):  
Stiffness Matrix ◽  
Piecewise Linear ◽  
Piecewise Linear Approximation ◽  
Element Formulation ◽  
Transverse Displacement ◽  
Virtual Element Method ◽  
First Order ◽  
Independent Variables ◽  
Virtual Element ◽  
Displacement Based

AbstractIn this paper, a first-order virtual element method for Reissner–Mindlin plates is presented. A standard displacement-based variational formulation is employed, assuming transverse displacement and rotations as independent variables. In the framework of the first-order virtual element, a piecewise linear approximation is assumed for both displacement and rotations on the boundary of the element. The consistent term of the stiffness matrix is determined assuming uncoupled polynomial approximations for the generalized strains, with different polynomial degrees for bending and shear parts. In order to mitigate shear locking in the thin-plate limit while keeping the element formulation as simple as possible, a selective scheme for the stabilization term of the stiffness matrix is introduced, to indirectly enrich the approximation of the transverse displacement with respect to that of the rotations. Element performance is tested on various numerical examples involving both thin and thick plates and different polygonal meshes.

Serendipity virtual element formulation for nonlinear elasticity

2019 ◽  
Vol 223 ◽  
pp. 106094 ◽  
Author(s):  
M.L. De Bellis ◽  
P. Wriggers ◽  
B. Hudobivnik
Keyword(s):  
Nonlinear Elasticity ◽  
Element Formulation ◽  
Virtual Element

scholarly journals A virtual element formulation for general element shapes

2020 ◽  
Vol 66 (4) ◽  
pp. 963-977 ◽  
Author(s):  
P. Wriggers ◽  
B. Hudobivnik ◽  
F. Aldakheel
Keyword(s):  
Considerable Progress ◽  
Element Formulation ◽  
Virtual Element Method ◽  
Polynomial Degree ◽  
General Element ◽  
Arbitrary Polynomial ◽  
Arbitrary Geometries ◽  
Virtual Element ◽  
Element Method

Abstract The virtual element method is a lively field of research, in which considerable progress has been made during the last decade and applied to many problems in physics and engineering. The method allows ansatz function of arbitrary polynomial degree. However, one of the prerequisite of the formulation is that the element edges have to be straight. In the literature there are several new formulations that introduce curved element edges. These virtual elements allow for specific geometrical forms of the course of the curve at the edges. In this contribution a new methodology is proposed that allows to use general mappings for virtual elements which can model arbitrary geometries.

A low order 3D virtual element formulation for finite elasto–plastic deformations

2018 ◽  
Vol 63 (2) ◽  
pp. 253-269 ◽  
Author(s):  
Blaž Hudobivnik ◽  
Fadi Aldakheel ◽  
Peter Wriggers
Keyword(s):  
Element Formulation ◽  
Plastic Deformations ◽  
Virtual Element ◽  
Low Order
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