求解夹杂问题的有限部积分──边界元法

基金项目: 国家自然科学基金资助课题

FINITE-PART INTEGRAL AND BOUNDARY ELEMENT METHOD TO SOLVE INCLUSION PROBLEMS

1.
Dept.of Basic Science, Bijing Agricultural Engineering University, Beijing 100083;
2.
Dept.of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200030

摘要

摘要: 利用Kelvin解及有限部积分的概念和方法,导出求解含夹杂二维有限弹性体的超奇异积分方程,继而使用有限部积分与边界元结合的方法,为其建立了数值求解方法,即有限部积分与边界元法.最后计算了若干典型数值例子夹杂端部的应力强度因子.
- 夹杂 /
- 超奇异积分方程 /
- 边界元 /
- 应力强度因子
Abstract: Using Kelvin's solutions and the concepts of finite-part integral,a set of hypersingular integral equations to solve the inclusion problems in two dimension elasticity is derived,and its numerical method is then proposed by combining the finite-part integral method with the boundary element method.Finally,several examples are carried out,and the numerical results of the stress intensity factors are obtained.
- inclusion /
- hypersingular integral equations /
- boundary element /
- finite-part integral