SINGULAR BEHAVIOR AT FIXED RIGID LINE TIP IN PLANE ELASTICITY

被引：14

作者：

CHEN, YZ

机构：

[1] Jiangsu Inst of Technology, Jiangsu, China, Jiangsu Inst of Technology, Jiangsu, China

来源：

ENGINEERING FRACTURE MECHANICS | 1986年 / 25卷 / 01期

关键词：

ELASTICITY - MATHEMATICAL TECHNIQUES - Eigenvalues and Eigenfunctions;

D O I：

10.1016/0013-7944(86)90198-0

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper the properties of eigenfunction expansion form (EEF) in the fixed rigid line tip (FRLT) problem in plane elasticity are discussed in detail. After using the Betti's reciprocal theorem to the plane body containing the FRLT, several new path-independent integrals are obtained. All the coefficients in the EEF at the FRLT can be related to corresponding path-independent integrals. It is proved that, though the J integral in the crack problem and J//f integral in the FRLT problem have the same form, the former (J) is definitely positive and the latter (J//f) is definitely negative.

引用

页码：11 / 16

页数：6

共 7 条

[1]

BUDIANSKY B, 1973, J APPL MECH-T ASME, V40, P201, DOI 10.1115/1.3422926

[2]

Bueckner H. F., 1973, Mechanics of fracture. Vol.1: Methods of analysis and solutions of crack problems, P239

[3] NEW PATH INDEPENDENT INTEGRALS IN LINEAR ELASTIC FRACTURE-MECHANICS [J].