复杂载荷三维裂纹分析双重边界元法  

DUAL BEM FOR SIF ANALYSES OF 3D STRUCTURES WITH COMPLEX LOADS

作　　者：陆山[1] 黄其青[1] 

机构地区：[1]西北工业大学,184信箱西安710072

出　　处：《力学学报》2002年第5期715-725,共11页Chinese Journal of Theoretical and Applied Mechanics

基　　金：航空基金(99c53026);国家教委留学回国人员基金;西北工业大学双新人才基金资助项目

摘　　要：提出可用于高温、高转速状态下的热动力机械三维含裂构件热弹性分析方法——双重边界元法.首先建立了考虑温度及离心载荷的双重边界积分方程组,并对边界积分方程组的选取及适用范围进行了讨论。然后提出角非快调元模型离散技术。接着提出超奇异积分方程分析去除奇异性方法及数值积分技术.数值算例表明计算结果与有关权函数解十分吻合,说明了用双重边界元法计算复杂载荷条件下三维应力强度因子的有效性.还讨论了有关热应力强度因子权函数解的适用范围.A new dual boundary element method is proposed in this paper for thermal elastic analyses of three-dimensional cracked components of power machinery under temperature and/or centrifugal loads. First, dual boundary integral equations with temperature and centrifugal loads are set up in the paper. Then, the strategy to use those equations is discussed. Corner-non-conforming elements are given to discretize the cracked three-dimensional body near crack tips. The singularity of hypersingular boundary integral equation is removed analytically then and the hypersingular boundary integral equation is evaluated numerically afterwards. Numerical examples of three-dimensional cracked disks under high temperature or centrifugal loads are analyzed by the method. Stress intensity factors obtained in this paper fit well with ones from the weight function method, which demonstrate the efficiency of the new dual boundary element method given in this paper to analyze stress intensity factors of three-dimensional components under complex loads. Thermal stress intensity factor solutions from weight function are discussed too for their new applicable extent.

关 键 词：三维裂纹 双重边界元法 超奇异边界积分方程 非协调元 离心载荷 温度载荷 权函数法 

分 类 号：O346.1[理学—固体力学]