[HTML][HTML] Discrete and phase field methods for linear elastic fracture mechanics: a comparative study and state-of-the-art review

A Egger, U Pillai, K Agathos, E Kakouris, E Chatzi… - Applied Sciences, 2019 - mdpi.com
Three alternative approaches, namely the extended/generalized finite element method
(XFEM/GFEM), the scaled boundary finite element method (SBFEM) and phase field …

Accuracy and robustness of stress intensity factor extraction methods for the generalized/eXtended Finite Element Method

P Gupta, CA Duarte, A Dhankhar - Engineering Fracture Mechanics, 2017 - Elsevier
This paper investigates the accuracy and robustness of three Stress Intensity Factor (SIF)
extraction methods for the Generalized/eXtended Finite Element Method (G/XFEM): the …

Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture

K Agathos, E Chatzi, SPA Bordas - Computer Methods in Applied …, 2016 - Elsevier
An extended finite element method (XFEM) for three dimensional (3D) non-planar linear
elastic fracture is introduced, which provides optimal convergence through the use of …

A stable generalized/extended p-hierarchical FEM for three-dimensional linear elastic fracture mechanics

AG Sanchez-Rivadeneira, N Shauer… - Computer Methods in …, 2020 - Elsevier
In this paper, the quadratic Stable Generalized Finite Element Method (SGFEM) proposed in
Sanchez-Rivadeneira and Duarte (2019) is extended to 3-D fracture problems with non …

A fully coupled hydromechanical XFEM model for the simulation of 3D non-planar fluid-driven fracture propagation

F Shi, J Liu - Computers and Geotechnics, 2021 - Elsevier
Field data suggest that hydraulic fractures under in situ conditions are three-dimensional
and non-planar in shale gas reservoirs. In this study, a fully coupled deformation, fracture …

Developments in remeshing‐free fatigue crack growth simulation including a new adaptive virtual crack closure technique

S Karimi, F Haji Aboutalebi… - Fatigue & Fracture of …, 2022 - Wiley Online Library
The present study aims to evaluate and improve the remeshing‐free fatigue crack growth
(FCG) simulation and life estimation through two developing FEM‐VCCT and XFEMPN …

XFEM with high-order material-dependent enrichment functions for stress intensity factors calculation of interface cracks using Irwin's crack closure integral

Y Wang, C Cerigato, H Waisman… - Engineering Fracture …, 2017 - Elsevier
This paper presents a high-order extended finite element method (XFEM) with a novel set of
material-dependent enrichment functions for the linear elastic analysis of bimaterial interface …

An arc-length method for controlled cohesive crack propagation using high-order XFEM and Irwin's crack closure integral

Y Wang, H Waisman - Engineering Fracture Mechanics, 2018 - Elsevier
Numerical modeling of cohesive crack growth in quasi-brittle materials is challenging,
primarily due to the combination of (i) nonlinearity associated with the fracture process zone …

Direct evaluation of stress intensity factors for curved cracks using Irwin's integral and XFEM with high‐order enrichment functions

Y Wang, H Waisman, I Harari - International Journal for …, 2017 - Wiley Online Library
This paper presents a comprehensive study on the use of Irwin's crack closure integral for
direct evaluation of mixed‐mode stress intensity factors (SIFs) in curved crack problems …

Fracture analysis of cracked thin-walled structures using a high-order XFEM and Irwin's integral

C Xing, Y Wang, H Waisman - Computers & Structures, 2019 - Elsevier
We develop a novel fracture mechanics framework for cracked thin-walled structures based
on the Mindlin-Reissner plate theory. The mixed interpolation of tensorial components …