A computational framework for brittle crack-propagation based on efficient virtual element method

A Hussein, F Aldakheel, B Hudobivnik… - Finite elements in …, 2019 - Elsevier
An efficient low order virtual element method (VEM) for crack-propagation in elastic solids at
small strains is outlined within this work. The recently developed VEM is a competitive …

Virtual element formulation for phase-field modeling of ductile fracture

F Aldakheel, B Hudobivnik… - International Journal for …, 2019 - dl.begellhouse.com
An efficient low-order virtual element method (VEM) for the phase-field modeling of ductile
fracture is outlined within this work. The recently developed VEM is a competitive …

[HTML][HTML] An adaptive curved virtual element method for the statistical homogenization of random fibre-reinforced composites

E Artioli, LB da Veiga, M Verani - Finite Elements in Analysis and Design, 2020 - Elsevier
We propose an adaptive curved virtual element method (ACVEM) which is able to combine
an exact representation of the involved computational geometry and a dynamic tuning of the …

[HTML][HTML] A hybrid virtual element formulation for 2D elasticity problems

FS Liguori, A Madeo, S Marfia, E Sacco - Computer Methods in Applied …, 2024 - Elsevier
In this paper, a hybrid variational framework for the Virtual Element Method (VEM) is
proposed and a family of polygonal elements for plane elasticity is developed. Under …

A new implicit gradient damage model based on energy limiter for brittle fracture: Theory and numerical investigation

HT Tran, TQ Bui, N Chijiwa, S Hirose - Computer Methods in Applied …, 2023 - Elsevier
We present a general form of the gradient-enhanced damage theory and its numerical
implementation using finite element method (FEM) in modeling quasi-static brittle crack …

Virtual element method (VEM)-based topology optimization: an integrated framework

H Chi, A Pereira, IFM Menezes, GH Paulino - Structural and …, 2020 - Springer
We present a virtual element method (VEM)-based topology optimization framework using
polyhedral elements, which allows for convenient handling of non-Cartesian design …

Serendipity virtual element formulation for nonlinear elasticity

ML De Bellis, P Wriggers, B Hudobivnik - Computers & Structures, 2019 - Elsevier
In this paper, the novel concept of Serendipity Virtual Elements is extended to the case of
compressible hyper-elastic materials in 2D. Second order polynomials are adopted for the …

A virtual element formulation for general element shapes

P Wriggers, B Hudobivnik, F Aldakheel - Computational Mechanics, 2020 - Springer
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 …

I-FENN with Temporal Convolutional Networks: Expediting the load-history analysis of non-local gradient damage propagation

P Pantidis, H Eldababy, D Abueidda… - Computer Methods in …, 2024 - Elsevier
In this paper, we demonstrate for the first time how the Integrated Finite Element Neural
Network (I-FENN) framework, previously proposed by the authors [1],[2], can efficiently …

A single Gauss point continuum finite element formulation for gradient-extended damage at large deformations

O Barfusz, T Brepols, T van der Velden… - Computer Methods in …, 2021 - Elsevier
Some years ago, a family of large deformation continuum finite elements based on reduced
integration was investigated by Reese (2005), Schwarze and Reese (2011) and Frischkorn …