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 …

Trends in large-deformation analysis of landslide mass movements with particular emphasis on the material point method

K Soga, E Alonso, A Yerro, K Kumar… - Géotechnique, 2016 - icevirtuallibrary.com
Traditional geotechnical analyses for landslides involve failure prediction (ie onset of failure)
and the design of structures that can safely withstand the applied loads. The analyses …

A meshfree method based on the peridynamic model of solid mechanics

SA Silling, E Askari - Computers & structures, 2005 - Elsevier
An alternative theory of solid mechanics, known as the peridynamic theory, formulates
problems in terms of integral equations rather than partial differential equations. This theory …

Multiscale computational homogenization: review and proposal of a new enhanced-first-order method

F Otero, S Oller, X Martinez - Archives of Computational Methods in …, 2018 - Springer
The continuous increase of computational capacity has encouraged the extensive use of
multiscale techniques to simulate the material behaviour on several fields of knowledge. In …

Cracking elements: A self-propagating strong discontinuity embedded approach for quasi-brittle fracture

Y Zhang, X Zhuang - Finite Elements in Analysis and Design, 2018 - Elsevier
In this paper, we present a self-propagating Strong Discontinuity embedded Approach
(SDA) for quasi-brittle fracture. The method is based on the Statically Optimal Symmetric …

Cracking elements method for dynamic brittle fracture

Y Zhang, X Zhuang - Theoretical and Applied Fracture Mechanics, 2019 - Elsevier
The cracking elements (CE) method is a recently presented self-propagating strong
discontinuity embedded approach with the statically optimal symmetric (SDA-SOS) …

Modelling of cohesive crack growth in concrete structures with the extended finite element method

JF Unger, S Eckardt, C Könke - Computer methods in applied mechanics …, 2007 - Elsevier
In this paper, the extended finite element method (XFEM) is used for a discrete crack
simulation of concrete using an adaptive crack growth algorithm. Different criteria for …

A zero-thickness cohesive element-based numerical manifold method for rock mechanical behavior with micro-Voronoi grains

Z Wu, X Xu, Q Liu, Y Yang - Engineering Analysis with Boundary Elements, 2018 - Elsevier
In this study, a zero-thickness cohesive element-based Numerical Manifold Method (NMM)
combined with detailed micro-scale characterization is proposed for modeling the rock …

A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM

J Oliver, AE Huespe, PJ Sánchez - Computer methods in applied …, 2006 - Elsevier
A comparative study on finite elements for capturing strong discontinuities by means of
elemental (E-FEM) or nodal enrichments (X-FEM) is presented. Based on the same …

Strong discontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack-tracking strategy, and validations

Y Zhang, R Lackner, M Zeiml, HA Mang - Computer Methods in Applied …, 2015 - Elsevier
Abstract The Strong Discontinuity embedded Approach (SDA) has proved to be a robust
numerical method for simulating fracture of quasi-brittle materials such as glass and …