ON RIGID INCLUSIONS OF MINIMUM STRESS-CONCENTRATION

被引:10
作者
ELDIWANY, BH [1 ]
WHEELER, LT [1 ]
机构
[1] UNIV HOUSTON,DEPT MECH ENGN,HOUSTON,TX 77004
关键词
ELASTICITY - MECHANICS - Continuous Media;
D O I
10.1016/0022-5096(86)90003-7
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The three-dimensional problem of finding the shape of minimum stress concentration for a rigid inclusion imbedded in an elastic matrix is analyzed and solved. The matrix extends to infinity, filling the space exterior to the inclusion. Loading consists of uniform stress applied at infinity, so that in the absence of the inclusion the medium would be homogeneously stressed. The optimum inclusions are found to be ellipsoidal in shape, and conditions on the loading are found under which these ellipsoids can be rigorously proven to be optimal.
引用
收藏
页码:19 / 28
页数:10
相关论文
共 12 条
[1]  
CHEREPANOV GP, 1974, PRIKL MAT MEKH, V38, P963
[2]  
ELDIWANY BH, 1985, UNPUB J ELAST
[3]   THEOREMS IN LINEAR ELASTOSTATICS FOR EXTERIOR DOMAINS [J].
GURTIN, ME ;
STERNBERG, E .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1961, 8 (02) :99-119
[4]  
KELLOGG OD, 1953, F POTENTIAL THEORY
[5]  
Lamb H., 1932, HYDRODYNAMICS
[6]  
Neuber, 1958, KERBSPANNUNGSLEHRE
[7]   DEMAGNETIZING FACTORS OF THE GENERAL ELLIPSOID [J].
OSBORN, JA .
PHYSICAL REVIEW, 1945, 67 (11-1) :351-357
[8]  
Peterson RE, 1974, STRESS CONCENTRATION
[9]  
Sternberg E., 1958, APPL MECH REV, V11, P1
[10]   THE PROBLEM OF MINIMIZING STRESS-CONCENTRATION AT A RIGID INCLUSION [J].
WHEELER, L .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1985, 52 (01) :83-86