Plastic Zone around Circular Holes

被引:31
作者
Leitman, M. J. [1 ]
Villaggio, P. [2 ]
机构
[1] Case Western Reserve Univ, Dept Math, Cleveland, OH 44106 USA
[2] Univ Pisa, Dipartimento Ingn Strutturale, Pisa, Italy
关键词
Elastoplasticity; Holes; Plastics;
D O I
10.1061/(ASCE)EM.1943-7889.0000062
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In 1946, L. A. Galin proposed an ingenious solution to the problem of analytically determining the plastic region completely surrounding a circular hole in a thin initially elastic plate subject to tensile stress at infinity. The results of Galin's analysis are recovered by a simple collocation, provided an elliptical elastic-plastic boundary is assumed. This elementary procedure is then applied to treat the case, unresolvable by Galin's method, in which the plastic domain does not completely surround the hole.
引用
收藏
页码:1467 / 1471
页数:5
相关论文
共 11 条
[1]  
Annin B.D., 1988, ELASTIC PLASTIC PROB
[2]  
BYKOVTSEV GI, 1987, PRIKL MATEM MECH, V52, P244
[3]  
Galin L.A., 1946, Prikl. Mat. Mekh., V10, P367
[4]  
Kachanov LazarMarkovich., 1971, Foundations of the theory of plasticity
[5]  
Kirsch C., 1898, Zeitschrift Des Vereines Deutscher Ingenieure, V42, P797
[6]  
Lozhkin VN., 2001, J MATH SCI, V103, P363, DOI DOI 10.1023/A:1011318429761
[7]  
Nadai A, 1950, Theory of flow and fracture of solids, V2nd
[8]  
Parker A.P., 1981, MECH FRACTURE FATIGU
[9]  
Savin GN, 1961, Stress concentration around holes
[10]   GENERALIZATION OF GALINS PROBLEM TO FRICTIONAL MATERIALS AND DISCONTINUOUS STRESS-FIELDS [J].
TOKAR, G .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1990, 26 (02) :129-+