Path independent integral for an elliptical hole in a plate under tension for plane stress deformation theory

被引：8

作者：

Unger, David J. ^{[1
]}

机构：

[1] Univ Evansville, Evansville, IN 47722 USA

来源：

JOURNAL OF ELASTICITY | 2008年 / 92卷 / 03期

关键词：

path independent integral; elliptical hole; Tresca yield condition; perfectly plastic;

D O I：

10.1007/s10659-008-9159-z

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An exact expression is derived for a path independent integral surrounding an elliptical hole in an infinite plate with tensile tractions at infinity for plane stress loading conditions. The plate is composed of a non-work-hardening material satisfying the Tresca yield condition under proportional loading and small strain assumptions. This problem may serve as a simple classroom example for the derivation of a relationship between crack opening displacement and path independent integral for a nonlinear elastic material satisfying the Tresca yield condition.

引用

页码：217 / 226

页数：10

共 21 条

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[Anonymous], T R SOC A

[2]

Cherepanov GP, 1967, PRIKL MAT MEKH, V31, P476, DOI DOI 10.1016/0021-8928(67)90034-2

[3]

Cherepanov GP., 1979, MECH BRITTLE FRACTUR

[4] YIELDING OF STEEL SHEETS CONTAINING SLITS [J].