Mesh-independent discrete numerical representations of cohesive-zone models

R de Borst, JJC Remmers, A Needleman - Engineering fracture mechanics, 2006 - Elsevier
The importance of the cohesive-zone approach to analyse localisation and fracture in
engineering materials is emphasised and ways to incorporate the cohesive-zone …

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 with a dissipation-based arc-length approach

Y Zhang, J Huang, Y Yuan, HA Mang - Finite Elements in Analysis and …, 2021 - Elsevier
The dissipated strain energy, representing a monotonically increasing state variable in
nonlinear fracture mechanics, can be used to develop an arc-length constraint equation for …

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) …

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 …

Continuum approach to material failure in strong discontinuity settings

J Oliver, AE Huespe - Computer methods in applied mechanics and …, 2004 - Elsevier
The paper focuses the numerical modelling of material failure in a strong discontinuity
setting using a continuum format. Displacement discontinuities, like fractures, cracks, slip …

[HTML][HTML] Micromechanics based second gradient continuum theory for shear band modeling in cohesive granular materials following damage elasticity

Y Yang, A Misra - International Journal of Solids and Structures, 2012 - Elsevier
Gradient theories, as a regularized continuum mechanics approach, have found wide
applications for modeling strain localization failure process. This paper presents a second …

Continuum approach to the numerical simulation of material failure in concrete

J Oliver, AE Huespe, E Samaniego… - … journal for numerical …, 2004 - Wiley Online Library
Some new aspects of the continuum strong discontinuity approach (CSDA) to model
material failure in geomaterials are addressed. A new global algorithm, for tracking multiple …

Discontinuous modelling of shear bands using adaptive meshfree methods

T Rabczuk, E Samaniego - Computer Methods in Applied Mechanics and …, 2008 - Elsevier
A simple methodology to model shear bands as strong displacement discontinuities in an
adaptive meshfree method is presented. The shear band is represented by a displacement …

Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach

J Oliver, AE Huespe, S Blanco, DL Linero - Computer Methods in Applied …, 2006 - Elsevier
Robustness and stability of the Continuum Strong Discontinuity Approach (CSDA) to
material failure are addressed. After identification of lack of symmetry of the finite element …