General analytical solution for stress intensity factor of a hypocycloid hole with many cusps in an infinite plate

被引：11

作者：

Long, N. M. A. Nik ^{[1
,2
]}

Yaghobifar, M. ^{[2
]}

机构：

[1] Univ Putra Malaysia, Dept Math, Fac Sci, Serdang 43400, Selangor, Malaysia

[2] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia

来源：

PHILOSOPHICAL MAGAZINE LETTERS | 2011年 / 91卷 / 04期

关键词：

hypocycloid hole; stress intensity factors; conformal mapping; modified complex potential; deformation; HYPERSINGULAR INTEGRAL-EQUATION; PLANE ELASTICITY; CRACK PROBLEMS; CURVED CRACKS;

D O I：

10.1080/09500839.2011.552447

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this article, the problem for the determination of the displacement functions and the stress intensity factors (SIFs) around a boundary of a hypocycloid hole with cusps in an infinite elastic plate subject to normal and shear stresses are presented. A hole with cusps (hypocycloid) is mapped onto a unit circle and the modified complex potential is used for solving the relevant boundary value problems. An analytical solution for the SIF of a hypocycloid hole is obtained. For a special case, our results agree with others.

引用

页码：256 / 263

页数：8

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