Extended finite element method （XFEM） implementation of the interaction integral methodology for evaluating the stress intensity factors （SIF） of the mixed-mode crack problem is presented. A discontinuous function...Extended finite element method （XFEM） implementation of the interaction integral methodology for evaluating the stress intensity factors （SIF） of the mixed-mode crack problem is presented. A discontinuous function and the near-tip asymptotic function are added to the classic finite element approximation to model the crack behavior. Two-state integral by the superposition of actual and auxiliary fields is derived to calculate the SIFs. Applications of the proposed technique to the inclined centre crack plate with inclined angle from 0° to 90° and slant edge crack plate with slant angle 45°, 67.5° and 90° are presented, and comparisons are made with closed form solutions. The results show that the proposed method is convenient, accurate and computationallv efficient.展开更多
In 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...In 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.展开更多
基金Projects(41172244,41072224) supported by the National Natural Science Foundation of ChinaProject(2009GGJS-037) supported by the Foundation of Youths Key Teacher by the Henan Educational Committee,China
文摘Extended finite element method （XFEM） implementation of the interaction integral methodology for evaluating the stress intensity factors （SIF） of the mixed-mode crack problem is presented. A discontinuous function and the near-tip asymptotic function are added to the classic finite element approximation to model the crack behavior. Two-state integral by the superposition of actual and auxiliary fields is derived to calculate the SIFs. Applications of the proposed technique to the inclined centre crack plate with inclined angle from 0° to 90° and slant edge crack plate with slant angle 45°, 67.5° and 90° are presented, and comparisons are made with closed form solutions. The results show that the proposed method is convenient, accurate and computationallv efficient.
基金supported by the National Natural Science Foundation of China(No.11471262).
文摘In 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.
