Computational methods for fracture in brittle and quasi‐brittle solids: state‐of‐the‐art review and future perspectives

T Rabczuk - International Scholarly Research Notices, 2013 - Wiley Online Library
An overview of computational methods to model fracture in brittle and quasi‐brittle materials
is given. The overview focuses on continuum models for fracture. First, numerical difficulties …

On three-dimensional modelling of crack growth using partition of unity methods

T Rabczuk, S Bordas, G Zi - Computers & structures, 2010 - Elsevier
This paper reviews different crack tracking techniques in three-dimensions applicable in the
context of partition of unity methods, especially meshfree methods. Issues such as …

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) …

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 …

On the crack opening and energy dissipation in a continuum based disconnected crack model

Y Zhang, Z Gao, Y Li, X Zhuang - Finite Elements in Analysis and Design, 2020 - Elsevier
All crack models developed to date can be classified into discrete-and continuum-based
approaches. While discrete models are advantageously capable of capturing the kinetics of …

On the use of finite elements with a high aspect ratio for modeling cracks in quasi-brittle materials

OL Manzoli, MA Maedo, LAG Bitencourt Jr… - Engineering Fracture …, 2016 - Elsevier
A new technique for modeling cracks in quasi-brittle materials based on the use of interface
solid finite elements is presented. This strategy named mesh fragmentation technique …

Strongly coupled XFEM formulation for non-planar three-dimensional simulation of hydraulic fracturing with emphasis on concrete dams

SN Roth, P Léger, A Soulaïmani - Computer Methods in Applied Mechanics …, 2020 - Elsevier
This paper presents a novel and robust three-dimensional plain concrete cracking model
applicable to the study of structural stability of large structures, such as dams, while …

Investigation of mesh dependency issues in the simulation of crack propagation in quasi‐brittle materials by using a diffuse interface modeling approach

A Pascuzzo, F Greco, L Leonetti… - Fatigue & Fracture of …, 2022 - Wiley Online Library
This work proposes an efficient cohesive finite element modeling approach based on a
diffuse interelement interface strategy to reproduce the fracture behavior of quasi‐brittle …

Modeling three‐dimensional crack propagation—a comparison of crack path tracking strategies

P Jäger, P Steinmann, E Kuhl - International Journal for …, 2008 - Wiley Online Library
The development of a new finite element technique for the simulation of discontinuous
failure phenomena in three dimensions is the key objective of this study. In contrast to the …