Stress concentration near an elastic ellipsoidal inclusion in an infinite body

被引:1
作者
Stadnyk, MM [1 ]
机构
[1] Ukrainian State Univ Forestry Engn, Lvov, Ukraine
关键词
Exact Solution; Stress Concentration; Uniaxial Tension; Simple Formula; Elastic Problem;
D O I
10.1023/A:1024299431804
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The elastic problem is considered for a body containing an ellipsoidal inclusion under the conditions of uniaxial tension. The problem is reduced to the solution of a system of three integro-differential equations for the jumps of stresses and displacements on the surfaces of the inclusion. The exact solution of these equations is obtained and relations for the approximate evaluation of stresses in the matrix and inclusion are presented. Various special cases of the problem are analyzed and fairly simple formulas convenient for the engineering strength analysis of inhomogeneous bodies are deduced.
引用
收藏
页码:789 / 797
页数:9
相关论文
共 9 条
[1]  
[Anonymous], 1986, STRESS CONCENTRATION
[2]  
EDWARDS R, 1951, T ASME, V75, P19
[3]  
ESHELBY JD, 1963, CONTINUAL MODEL DISL
[4]  
KASSIR MK, 1968, INT J SOLIDS STRUCT, V4, P225
[5]  
Panasyuk VV., 1968, Limiting Equilibrium of Brittle Bodies with Cracks
[6]  
PODILCHUK YN, 1979, 3 DIMENSIONAL PROBLE
[7]  
SILOVANYUK VP, 1984, FIZ KHIM MEKH MATER, V20, P80
[8]  
Stadnik M. M., 1988, FIZ KHIM MEKH MATER, V24, P53
[9]  
STADNIK MM, 1994, FIZ KHIM MEKH MATER, V30, P30