Research on Crack Propagation Behavior of Flexspline in Harmonic Reducer Based on XFEM by Xue Dongwen, Xu Yang, Xie Guosheng, Zhao Yanzheng, Liu Jihao

“…Based on the maximum principal stress damage evolution criterion, the differential behavior of crack expansion is simulated by the extended finite element method (XFEM), and an accelerated life experiment bench is built to verify the correctness of the extended finite element model. …”
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Algorithm for automatic fatigue crack growth simulation on welded high strength steels by R. Baptista, J. Marques, V. Infante

“…Previous work showed that the ABAQUS extended finite element method can predict fatigue crack growth, but as the implementation of the Paris law is not straight forward, to many conversions must be made and the results are too computer intensive. …”
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Bending Fatigue Crack Analysis of the Subway Gearbox Gear by Zhu Hekai, Yang Jianwei, Li Xin

“…The crack propagation analysis of the gearbox gear of a urban rail vehicle is carried out by combining the dynamics simulation and the extended finite element method（ XFEM）. Based on the dynamics analysis,the location of the initial crack and load loading in the finite element model are determined. …”
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CSR STORAGE METHOD OF EXTENDED FINITE ELEMENT STIFFNESS MATRIX by LIU YaoXi, TANG JinYuan, ZHOU Wei, HE YuHui, YU Yang

“…The extended finite element method（ XFEM） is one of the most widely used numerical methods to deal with cracks,holes and inclusions. …”
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Analysis on the Root Crack Propagation Path and Its Influencing Factor of Spur Gear by Qikun Liu, Shengli Wu, Zhi Li, Xiaochun Jian

“…Considering the complexity of crack tip discontinuity and singularity in the process of crack propagation，the extended finite element method is modified and the finite element model of tooth root crack propagation is established to solve these problems. …”
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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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Orientation of propagating crack paths emanating from fretting-fatigue contact problems by Eugenio Giner, José Díaz-Álvarez, Miguel Marco, Mª Henar Miguélez

“…In this work, the orientation and propagation of cracks in fretting fatigue problems is analyzed numerically using the finite element method (FEM) and the extended finite element method (X-FEM). The analysis is performed by means of a 2D model of a complete-contact fretting problem, consisting of two square indenters pressed onto a specimen subjected to cyclic fatigue. …”
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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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RESEARCH ON THE FATIGUE CRACK PROPAGATION OF AIRCRAFT FUSELAGE SKIN UNDER UNIFORM PRESSURIZED LOAD (MT) by LIU LiPing, HAN HaoHao, LIU JiaHuan, BAO Rui, LIN YueGuo

“…Firstly, the stress intensity factor was calculated by the extended finite element method. Then, the deflection angle of the crack was calculated based on the maximum circumferential stress criterion and the strain energy density factor criterion, and the fatigue crack propagation path of the fuselage skin was predicted. …”
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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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