THE LOAD-TRANSFER BETWEEN 2 RIGID SPHERICAL INCLUSIONS IN AN ELASTIC MEDIUM

被引:18
作者
PHANTHIEN, N [1 ]
KIM, S [1 ]
机构
[1] UNIV WISCONSIN, DEPT CHEM ENGN, MADISON, WI 53706 USA
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1994年 / 45卷 / 02期
关键词
D O I
10.1007/BF00943501
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The paper is concerned with the load transfer problem between two rigid spherical inclusions in an elastic matrix. A reflection-type formula is developed which is accurate up to and including terms of O(a/R)4, where a is the maximum radius of the inclusions, and R is the centre-to-centre distance between the two inclusions. Asymptotic results are derived at near touching showing a weak logarithmic singularity in the load transfer. The results are verified by a direct numerical calculation using a boundary collocation method. The numerical method uses Kelvin's general solution as the basis functions for the approximate solution and is highly accurate and efficient, even at near touching.
引用
收藏
页码:177 / 201
页数:25
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