Estimation of stress in the presence of closely located elastic inclusions: A numerical study

被引：2
|
作者：
Kang, Hyeonbae [1 ]
Kim, Eunjoo [2 ,3 ]
机构：
[1] Inha Univ, Dept Math, Inchon 402751, South Korea
[2] Ewha Womans Univ, Inst Math Sci, Seoul 120750, South Korea
[3] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea
来源：
IMAGING, MULTI-SCALE AND HIGH CONTRAST PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 660卷
关键词：
Stress; elasticity; Lame system; boundary integral method; numerics; CONDUCTIVITY PROBLEM; FIBER COMPOSITES; ELECTRIC-FIELDS; PERFECT; IDENTIFICATION; CONDUCTORS; SYSTEMS;
D O I：
10.1090/conm/660/13257
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
When there are adjacent inclusions with extreme bulk modulus inside an elastic body, it is expected that the stress (the gradient of solutions to the Lame system) becomes arbitrarily large as the distance 5 between two inclusions tends to 0. In this paper we find the order of blow-up of the stress by numerical computations. Our findings show that the stress becomes arbitrarily large at the rate of delta(-0.5) as delta -> 0. This result is in agreement with rigorous estimations of the gradient of solutions for the conductivity equation. For computations we use the boundary integral method.
引用
收藏
页码：45 / 57
页数：13
相关论文
共 50 条
12345