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求解夹杂问题的有限部积分──边界元法
引用本文:秦太验,汤任基.求解夹杂问题的有限部积分──边界元法[J].复合材料学报,1996,13(2):65-70.
作者姓名:秦太验  汤任基
作者单位:1.北京农业工程大学基础科学部, 北京 100083;
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. 

关 键 词:夹杂    超奇异积分方程    边界元    应力强度因子
收稿时间:1994-05-31

FINITE-PART INTEGRAL AND BOUNDARY ELEMENT METHOD TO SOLVE INCLUSION PROBLEMS
Qin Taiyan.FINITE-PART INTEGRAL AND BOUNDARY ELEMENT METHOD TO SOLVE INCLUSION PROBLEMS[J].Acta Materiae Compositae Sinica,1996,13(2):65-70.
Authors:Qin Taiyan
Affiliation:1.Dept.of Basic Science, Bijing Agricultural Engineering University, Beijing 100083;2.Dept.of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200030
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.
Keywords:inclusion  hypersingular integral equations  boundary element  finite-part integral  
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