边界元法分析二维线弹性裂纹扩展  

Propagation Analysis of Two-dimensional Linear Elastic Crack with Boundary Element Method

作　　者：葛仁余[1] 牛忠荣[2] 程长征[2] 胡宗军[2] 薛伟伟[2] 

机构地区：[1]安徽工程大学建筑工程学院,安徽芜湖241000 [2]合肥工业大学土木与水利工程学院,安徽合肥230009

出　　处：《计算物理》2015年第3期310-320,共11页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(11272111和11372049);安徽省教育厅项目(TSKJ2014B16)资助项目

摘　　要：用边界元法研究裂纹扩展过程.首先将尖端区域Williams渐近展开的特征分析法与边界积分方程结合,解出切口尖端附近应力奇异性区域的各应力场渐近展开项系数,获得平面切口/裂纹结构完整的位移和应力场.再基于考虑非奇异应力项贡献的最大周向应力脆性断裂准则,运用边界元法分析边缘含裂纹半圆形弯曲试样在荷载作用下的启裂方向,对裂纹扩展过程给出自动跟踪方法,通过算例证明边界元法模拟裂纹扩展过程的正确性和有效性.Boundary element method （BEM） is used to study propagation of crack under loading. First, all leading unknown coefficients in Williams series expansion and complete stress field for notched structures are calculated with BEM and former eigenanalysis for notch tip region. Then, with consideration of non-singular stress term and maximum circumferential stress criterion of brittle fracture, crack initiation extended direction from crack tip in a semicircular bending specimen is determined by BEM. Strategy for BEM tracking crack propagation is given. Numerical examples show that the method is correct and effective in simulating propagation of plane crack.

关 键 词：V形切口 脆性断裂 边界元法 裂纹扩展 

分 类 号：O343.4[理学—固体力学]