Evaluation of mixed-mode stress intensity factors by extended finite element method
来源期刊：中南大学学报(英文版)2013年第5期
论文作者：RU Zhong-liang(茹忠亮) ZHAO Hong-bo(赵洪波) YIN Shun-de(尹顺德)
文章页码：1420 - 1425
Key words：stress intensity factor (SIF); interaction integral method; extended finite element method (XFEM)
Abstract: 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 computationally efficient.
RU Zhong-liang(茹忠亮)1, ZHAO Hong-bo(赵洪波)1, YIN Shun-de(尹顺德)2
(1. College of Civil Engineering, Henan Polytechnic University, Jiaozuo 454000, China;
2. Department of Chemical and Petroleum Engineering, University of Wyoming, Laramie 82071, USA)
Abstract: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 computationally efficient.
Key words:stress intensity factor (SIF); interaction integral method; extended finite element method (XFEM)
