THE FREE-EDGE STRESS SINGULARITY AT AN INTERFACE BETWEEN BILINEAR MATERIALS

被引:10
作者
CHUNG, C [1 ]
EISCHEN, JW [1 ]
机构
[1] N CAROLINA STATE UNIV,DEPT MECH & AEROSP ENGN,RALEIGH,NC 27695
基金
美国国家科学基金会;
关键词
D O I
10.1016/0020-7683(91)90050-P
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The degree of the stress singularity that occurs at the termination of an interface between materials exhibiting bilinear stress-strain response under plane strain conditions is calculated. The governing elasticity equations together with traction-free boundary conditions and interface continuity conditions define a two-point boundary value problem. The stress components near the free edge are assumed to be proportional to r(s-1), with solutions existing only for certain values of s. Finding these values entails the solution of a generalized eigenvalue problem. Because it has been impossible to integrate the differential equations analytically, the integration has been performed numerically with a shooting method coupled with a Newton improvement scheme.
引用
收藏
页码:105 / 113
页数:9
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LYNCH CT, 1975, HDB MATERIALS SCI, V2, P178