A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics

V Gupta, CA Duarte, I Babuška, U Banerjee - Computer methods in applied …, 2013 - Elsevier
In this paper, we investigate the accuracy and conditioning of the Stable Generalized FEM
(SGFEM) and compare it with standard Generalized FEM (GFEM) for a 2-D fracture …

Stable GFEM (SGFEM): Improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics

V Gupta, CA Duarte, I Babuška, U Banerjee - Computer methods in applied …, 2015 - Elsevier
In this paper, we present an extension of the Stable Generalized FEM (SGFEM) for 3-D
fracture mechanics problems. Numerical experiments show that the use of available singular …

Modeling and simulation of kinked cracks by virtual node XFEM

S Kumar, IV Singh, BK Mishra, T Rabczuk - Computer Methods in Applied …, 2015 - Elsevier
In the present work, virtual node extended finite element method (VNXFEM) is proposed for
modeling and simulation of kinked cracks in a single element. The kinked crack growth in an …

Characteristics of windshield cracking upon low-speed impact: Numerical simulation based on the extended finite element method

J Xu, Y Li, X Chen, Y Yan, D Ge, M Zhu, B Liu - Computational Materials …, 2010 - Elsevier
Windshield glass crack characteristics are of great interest to vehicle manufacturers, safety
engineers, and accident investigators, because they contain important information on …

The crack propagation and dynamic impact responses of tempered laminated glass used in high-speed trains

S Wang, Y Peng, X Chen, K Wang - Engineering Failure Analysis, 2022 - Elsevier
The tempered laminated windshield used in high speed train is different with that used in
auto. This work aims to study the crack propagation and dynamic impact responses of …

Development of a damage propagation analysis system based on level set XFEM using the cohesive zone model

T Nagashima, M Sawada - Computers & Structures, 2016 - Elsevier
The level set extended finite element method (XFEM) is applied to two-dimensional and
quasi-three-dimensional crack propagation analyses using cohesive zone models (CZMs) …

[HTML][HTML] S-version finite element strategy for accurately evaluating local stress in the vicinity of dynamically propagating crack front in 3D solid

K Shibanuma, K Kishi, T He, N Morita… - Computer Methods in …, 2022 - Elsevier
Developing a numerical method to accurately simulate the brittle crack propagation
phenomenon is crucial for ensuring the safety of large-scale steel structures. Although …

弱不连续问题扩展有限元法的数值精度研究

江守燕, 杜成斌 - 力学学报, 2012 - lxxb.cstam.org.cn
主要研究了扩展有限元法(extended finite element method, XFEM) 在处理弱不连续问题时不同
改进函数形式对XFEM 数值求解精度的影响, 阐述了各种改进函数影响XFEM …

The orthonormalized generalized finite element method–ogfem: Efficient and stable reduction of approximation errors through multiple orthonormalized enriched basis …

A Sillem, A Simone, LJ Sluys - Computer Methods in Applied Mechanics …, 2015 - Elsevier
An extension of the Generalized Finite Element Method (GFEM) is proposed with which we
efficiently reduce approximation errors. The new method constructs a stiffness matrix with a …

Evaluation of retrofitting effect of concrete filling in hollow RC columns using XFEM

K Uemura, Z Kasahara, D Ichikawa, H Goto… - Engineering …, 2024 - Elsevier
Hollow RC columns are widely utilized in the construction of high piers in mountainous
regions. Recently, precast hollow RC columns have been increasingly used to enhance …