A comparative review of XFEM, mixed FEM and phase-field models for quasi-brittle cracking

M Cervera, GB Barbat, M Chiumenti, JY Wu - Archives of Computational …, 2022 - Springer
In this work, a critical comparison between three different numerical approaches for the
computational modelling of quasi-brittle structural failure is presented. Among the many …

A comparative review of peridynamics and phase-field models for engineering fracture mechanics

P Diehl, R Lipton, T Wick, M Tyagi - Computational Mechanics, 2022 - Springer
Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …

[图书][B] 无网格法

张雄, 刘岩 - 2004 - books.google.com
Page 1 张雄刘岩著 Zhang Xiong Liu Yan 无网格法 Meshless Methods FONDNIS HUA UNIV
清华大学出版社 Springer Page 2 Page 3 Page 4 Page 5 作者简介 张雄,1992年于大连理工大学 …

Meshfree methods: progress made after 20 years

JS Chen, M Hillman, SW Chi - Journal of Engineering Mechanics, 2017 - ascelibrary.org
In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

The extended/generalized finite element method: an overview of the method and its applications

TP Fries, T Belytschko - International journal for numerical …, 2010 - Wiley Online Library
An overview of the extended/generalized finite element method (GEFM/XFEM) with
emphasis on methodological issues is presented. This method enables the accurate …

A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering

L Jing - International Journal of Rock Mechanics and Mining …, 2003 - Elsevier
The purpose of this review paper is to present the techniques, advances, problems and
likely future developments in numerical modelling for rock mechanics. Such modelling is …

Extended finite element method for three‐dimensional crack modelling

N Sukumar, N Moës, B Moran… - International journal for …, 2000 - Wiley Online Library
An extended finite element method (X‐FEM) for three‐dimensional crack modelling is
described. A discontinuous function and the two‐dimensional asymptotic crack‐tip …

A review of extended/generalized finite element methods for material modeling

T Belytschko, R Gracie, G Ventura - Modelling and Simulation in …, 2009 - iopscience.iop.org
The extended and generalized finite element methods are reviewed with an emphasis on
their applications to problems in material science:(1) fracture,(2) dislocations,(3) grain …

[图书][B] Multiscale finite element methods: theory and applications

Y Efendiev, TY Hou - 2009 - books.google.com
The aim of this monograph is to describe the main concepts and recent-vances in
multiscale? nite element methods. This monograph is intended for …

Modeling holes and inclusions by level sets in the extended finite-element method

N Sukumar, DL Chopp, N Moës, T Belytschko - Computer methods in …, 2001 - Elsevier
A methodology to model arbitrary holes and material interfaces (inclusions) without meshing
the internal boundaries is proposed. The numerical method couples the level set method (S …