Simulation of Bending Fracture Process of Asphalt Mixture Semicircular Specimen with Extended Finite Element Method by Tian Xiaoge, Ren Zhang, Zhen Yang, Yantian Chu, Shaohua Zhen, Yichao Xv

“…In order to numerically simulate the whole fracture process including the initiation and propagation of crack in asphalt concrete semicircular specimens under external force, the extended finite element method (XFEM) was adopted considering the shortcomings of the conventional finite element method (FEM). …”
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Analysis of Fatigue Crack Propagation of an Orthotropic Bridge Deck Based on the Extended Finite Element Method by Ying Wang, Zhen Wang, Yuqian Zheng

“…Moreover, based on the extended finite element method (XFEM), the static crack and dynamic crack propagation in this critical position were analyzed. …”
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Numerical Modelling of Interaction between Hydraulic Fractures and Natural Fractures by Using the Extended Finite Element Method by Peilun Li, Yan Dong, Sheng Wang, Peichao Li

“…In order to reveal the interaction mechanism between hydraulic-induced fractures and natural fractures, a two-dimensional fracture intersection model based on the extended finite element method (XFEM) is proposed, and the different types of intersecting criteria reported in the literature are compared. …”
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Analysis of Interaction of Multiple Cracks Based on Tip Stress Field Using Extended Finite Element Method by Yuxiao Wang, Akbar A. Javadi, Corrado Fidelibus

“…A new method is presented to study the interaction of multiple cracks, especially for the areas near crack tips by using the extended finite element method. In order to track the cracks, a new geometric tracking technique is proposed to track enriched elements and nodes along the crack instead of using the narrow band level set method. …”
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Coupled Finite Volume Methods and Extended Finite Element Methods for the Dynamic Crack Propagation Modelling with the Pressurized Crack Surfaces by Shouyan Jiang, Chengbin Du

“…Having constructed the approximation of dynamic extended finite element methods, the derivation of governing equation for dynamic extended finite element methods is presented. …”
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A Cell-Based Smoothed XFEM for Fracture in Piezoelectric Materials by Li Ming Zhou, Guang Wei Meng, Feng Li, Shuai Gu

“…This paper presents a cell-based smoothed extended finite element method (CS-XFEM) to analyze fractures in piezoelectric materials. …”
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Crack simulation for the cover of the landfill � A seismic design by Mehran Karimpour-Fard, Omer Mughieda, Filippo Berto, Nurmunira Muhammad

“…Rankine�s theory and the Phantom Node Method were used for the simulation length of the crack and the mechanism of the crack propagation in the nonlinear extended finite element method (NXFEM). Artificial Neural Networks (ANNs) based on Levenberg-Marquardt Algorithm and Abalone Rings Data Set mode were used to predict displacement in critical points of the model. …”
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Multiple Reflective Cracks in Semirigid Base Asphalt Pavement under Traffic Load Using XFEM by Lei Guo, Jinchao Yue, Pan Guo, Xiaofeng Wang

“…This paper built a three-dimensional layered structure model of semirigid base asphalt pavement with single and double transverse reflective cracks based on the Extended Finite Element Method and fatigue fracture theory. The effects of the number of cracks, crack spacing, and crack length on the stress intensity factors (KI, KII, and Keff) under moving vehicle loads were studied. …”
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Effects of Welded Mechanical Heterogeneity on Interface Crack Propagation in Dissimilar Weld Joints by Fu-qiang Yang, He Xue, Ling-yan Zhao, Xiu-rong Fang

“…To understand the material mechanical heterogeneity effects on interface crack propagation, the specimens with ultimate tensile strength mismatch and elastic modulus mismatch were studied by using an extended finite element method (XFEM). The results indicate that the interface crack extension is easy to occur in the specimens with larger ultimate tensile strength mismatch, while the elastic modulus mismatch has little effects on crack extension. …”
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Study on Tensile Properties of Nanoreinforced Epoxy Polymer: Macroscopic Experiments and Nanoscale FEM Simulation Prediction by Zhenqing Wang, Fang Liu, Wenyan Liang, Limin Zhou

“…Virtual crack closure technique (VCCT) and extended finite element method (XFEM) were used to simulate phenomena of nanoparticle debonding and matrix crack growth. …”
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Fracture simulation of concrete beams to assess softening behavior by varying different fractions of aggregates by H. S. Vishwanatha, S. Muralidhara, B. K. Raghu Prasad

“…The present research focussed on assess softening behavior by varying different fractions of aggregates and cement matrix in micro details. Extended Finite Element Method (XFEM) for crack modeling implemented for simulating and visualizing crack propagation through Cement matrix, Interfacial Transition Zone (ITZ) and Aggregates . …”
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Investigation on Dynamic Propagation Characteristics of In-Plane Cracks in PVB Laminated Glass Plates by Xiaoqing Xu, Bohan Liu, Yibing Li

“…In the meantime, the extended finite element method (XFEM) is introduced to analyze the crack propagation mechanism of laminated glass based on dynamic stress intensity factors (DSIFs) and propagations of stress waves. …”
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Interaction of Cyclic Loading (Low-Cyclic Fatigue) with Stress Corrosion Cracking (SCC) Growth Rate by Rehmat Bashir, He Xue, Rui Guo, Yueqi Bi, Muhammad Usman

“…The simulations are carried out using extended finite element method (XFEM) separately, for the SCC and LCF, on an identical crack. …”
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Experimental Study and Extended Finite Element Simulation of Fracture of Self-Compacting Rubberized Concrete by Xinquan Wang, Hongguo Diao, Yunliang Cui, Changguang Qi, Shangyu Han

“…Finally, curved three-point bending beams were simulated by using the extended finite element method based on ABAQUS. The fracture process of the self-compacting concrete under different loading conditions was analyzed more intuitively. …”
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Fracture Mechanical Behavior of Cracked Cantilever Roof with Large Cutting Height Mining by Zenghui Zhao, Wei Sun, Mingzhong Zhang, Xiaojie Gao, Shaojie Chen

“…Finally, the accuracy of the theoretical model was verified by numerical experiments using the extended finite element method. The results demonstrate that the size of the area affected by the vertical crack increases with the increase of the crack size and the thickness of the roof. …”
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A Phantom-Node Method with Edge-Based Strain Smoothing for Linear Elastic Fracture Mechanics by N. Vu-Bac, H. Nguyen-Xuan, L. Chen, C. K. Lee, G. Zi, X. Zhuang, G. R. Liu, T. Rabczuk

“…Numerical results show that the proposed method achieves high accuracy compared with the extended finite element method (XFEM) and other reference solutions.…”
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