夹杂角端部奇异应力场分析  

Singular Stress Fields around Inclusion Corner

作　　者：陈梦成[1] 平学成[1] 姜羡[1] 

机构地区：[1]华东交通大学,江西南昌330013

出　　处：《应用力学学报》2009年第4期651-656,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(10662004;10362002)

摘　　要：提出一种分析夹杂角端部奇异应力场的新型杂交有限元方法。构造了一个角端部奇异单元,该单元刚度建立不依赖数学解析解。用这种方法计算了单向载荷作用下无限大板含单个方形夹杂和菱形夹杂角端部奇异应力场,并与现有的数值解进行了比较,结果表明:目前的数值方法是可行的、有效的、数值结果精度高,适用范围广。作为应用讨论了双方形夹杂刚度和位置对夹杂角端部奇异应力场的影响。A new hybrid finite element model is developed to analyze singular stress fields around an inclusion corner, which does not depend on the analytical solutions, and is employed to evaluate the singular stress fields around a rectangular inclusion and a diamond inclusion. The numerical results are compared with the available numerical solutions to show the practicability, effectiveness and accuracy for complicated engineering inclusion problems. As an application, the interaction between two square inclusions with varying material stiffness ratio and space span is discussed.

关 键 词：弹性体 夹杂 杂交有限元 奇性指数 广义应力强度因子 

分 类 号：O343.4[理学—固体力学]