Eccentric penny-shaped crack in a long circular cylinder

被引：0

作者：

Lee, Doo-Sung ^{[1
]}

机构：

[1] Konkuk Univ, Coll Educ, Dept Math, Seoul, South Korea

来源：

APPLICABLE ANALYSIS | 2023年 / 102卷 / 13期

关键词：

Eccentric penny-shaped crack; cylinder; integro-differential equations;

D O I：

10.1080/00036811.2022.2089660

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The three-dimensional analysis of the stress distribution in a long circular cylinder that contains an eccentric penny-shaped crack is discussed in this paper. The surface of the crack is subjected to a known pressure and is perpendicular to the axis of the cylinder. We solve the equations of the classical theory of elasticity in terms of an unknown function. This function is then shown to be the solution of an integro-differential equation. We also discuss the case when the crack is concentric, and show that the final solution agrees with the known result.

引用

页码：3650 / 3660

页数：11

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