scholarly journals Fracture analysis for materials by a stable generalized/extended finite element method

2021 ◽  
Vol 37 ◽  
pp. 513-521
Author(s):  
H G Jia ◽  
Y M Zhao ◽  
Y F Nie ◽  
S Q Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Extended Finite Element Method ◽  
Fracture Analysis ◽  
System Matrix ◽  
Intensity Factors ◽  
Extended Finite Element ◽  
Fracture Parameters ◽  
Good Agreement ◽  
Element Method

ABSTRACT In this paper, a method is proposed for extracting fracture parameters in isotropic material cracking via a stable generalized/extended finite element method. The numerical results of the stress intensity factors and scaled condition number of the system matrix are presented and compared with different enrichment schemes or those reported in related references. The good agreement and convergence of the results obtained by the developed method with those obtained by other solutions or enrichment schemes proves the applicability of the proposed approach and confirms its capability of efficiently extracting fracture parameters in isotropic materials.

On XFEM Applications to Crack Surface under External Force

2012 ◽  
Vol 152-154 ◽  
pp. 210-215
Author(s):  
Tian Tang Yu ◽  
Lu Yang Shi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Intensity ◽  
Extended Finite Element Method ◽  
Crack Surface ◽  
Water Pressure ◽  
Intensity Factors ◽  
Extended Finite Element ◽  
Modeling Growth ◽  
Element Method

The extended finite element method is applied to modeling growth of arbitrary crack with crack surface tractions. Firstly, the extended finite element method is investigated for the stress intensity factor solution of surface traction problems. Secondly, for different water pressure acting on the crack surfaces and different crack length, the variation of the stress intensity factors is investigated. Finally, the process of hydraulic fracturing is simulated with the method. Numerical simulations illustrate that the method can effectively model the fracture problems with surface tractions.

scholarly journals Fracture Parameters and Cracking Propagation of Cold Recycled Mixture Considering Material Heterogeneity Based on Extended Finite Element Method

Materials ◽  
2021 ◽  
Vol 14 (8) ◽  
pp. 1993
Author(s):  
Lei Gao ◽  
Xingkuan Deng ◽  
Ye Zhang ◽  
Xue Ji ◽  
Qiang Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mixed Mode ◽  
Extended Finite Element Method ◽  
Test Method ◽  
Extended Finite Element ◽  
Cracking Resistance ◽  
Fracture Parameters ◽  
Notch Length ◽  
Element Method

Cold recycled mixture (CRM) has been widely used around the world mainly because of its good ability to resist reflection cracking. In this study, mixed-mode cracking tests were carried out by the designed rotary test device to evaluate the cracking resistance of CRM. Through the finite element method, the heterogeneous model of CRM based on its meso-structure was established. The cracking process of CRM was simulated using the extended finite element method, and the influence of different notch lengths on its anti-cracking performance was studied. The results show that the mixed-mode fracture test method can effectively evaluate the cracking resistance of CRM by the proposed fracture parameters. The virtual tests under three of five kinds of mixed-cracking modes have good simulation to capture the cracking behavior of CRM. The effect of notch length on the initial crack angle and the crack propagation process of the CRM is mainly related to the distribution characteristics of its meso-structure. With the increase of the proportion of Mode II cracking, the crack development path gradually deviates, and the failure elements gradually increase. At any mixed-mode level, there is an obvious linear relationship between the peak load, fracture energy, and the notch length.

Fracture Analysis in Orthotropic Thermoelasticity Using Extended Finite Element Method

2015 ◽  
Vol 7 (6) ◽  
pp. 780-795 ◽  
Author(s):  
Honggang Jia ◽  
Yufeng Nie ◽  
Junlin Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Extended Finite Element Method ◽  
Intensity Factors ◽  
Extended Finite Element ◽  
Linear Elastic ◽  
Crack Problems ◽  
Good Accordance ◽  
Elastic Crack ◽  
Element Method

AbstractIn this paper, a method for extracting stress intensity factors (SIFs) in orthotropic thermoelasticity fracture by the extended finite element method (XFEM) and interaction integral method is present. The proposed method is utilized in linear elastic crack problems. The numerical results of the SIFs are presented and compared with those obtained using boundary element method (BEM). The good accordance among these two methods proves the applicability of the proposed approach and conforms its capability of efficiently extracting thermoelasticity fracture parameters in orthotropic material.

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