Uniformity of stresses inside a hypotrochoidal inhomogeneity

被引:1
|
作者
Wang, Xu [1 ]
Schiavone, Peter [2 ]
机构
[1] East China Univ Sci & Technol, Sch Mech & Power Engn, 130 Meilong Rd, Shanghai 200237, Peoples R China
[2] Univ Alberta, Dept Mech Engn, 10-203 Donadeo Innovat Ctr Engn, Edmonton, AB T6G 1H9, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
INCLUSION;
D O I
10.1007/s00707-022-03162-1
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We prove the existence of uniform stresses inside a hypotrochoidal inhomogeneity in the context of both anti-plane elasticity and plane elasticity. Specifically, we consider an Eshelby inclusion of hypotrochoidal shape into which is entirely embedded a hypotrochoidal elastic inhomogeneity. The inclusion is surrounded by an infinite elastic matrix. Additionally, both the inclusion and the inhomogeneity undergo the same corresponding uniform anti-plane eigenstrains or in-plane volumetric eigenstrains. When the single mismatch parameter for anti-plane elasticity or plane elasticity is judiciously chosen in accordance with the four given geometric parameters of the composite, the internal stresses inside the hypotrochoidal inhomogeneity are found to be uniform. In addition, the internal uniform stresses are hydrostatic in the case of plane elasticity.
引用
收藏
页码:1099 / 1106
页数:8
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