A USER-FRIENDLY THEORY OF ORTHOTROPIC PLASTICITY IN SHEET METALS

被引:248
作者
HILL, R
机构
[1] Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 9EW, Silver Street
关键词
D O I
10.1016/0020-7403(93)90061-X
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The aim is to model some basic aspects of the yielding and plastic flow of textured sheet, especially a specific combination of properties which is relatively common but not covered by existing theories. In constructing a new yield criterion the over-riding considerations here are flexibility and manipulative convenience. The numerical parameters are kept to a minimum and must be determinable readily from data given by standard tests. It is shown that these requirements are met by adding a particular pair of cubic terms to the author's 1948 quadratic.
引用
收藏
页码:19 / 25
页数:7
相关论文
共 8 条
[1]   THEORY OF PLASTIC ANISOTROPY BASED ON A YIELD FUNCTION OF 4TH-ORDER (PLANE STRESS STATE) .1. [J].
GOTOH, M .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1977, 19 (09) :505-512
[2]   A THEORY OF THE YIELDING AND PLASTIC FLOW OF ANISOTROPIC METALS [J].
HILL, R .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1948, 193 (1033) :281-297
[3]   THEORETICAL PLASTICITY OF TEXTURED AGGREGATES [J].
HILL, R .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1979, 85 (JAN) :179-191
[4]   CONSTITUTIVE MODELING OF ORTHOTROPIC PLASTICITY IN SHEET METALS [J].
HILL, R .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1990, 38 (03) :405-417
[5]  
Hosford W.F., 1979, P 7 N AM MET C SME C, P191
[6]   DEVELOPMENT OF ANISOTROPY DURING THE COLD-ROLLING OF ALUMINUM SHEET [J].
MONTHEILLET, F ;
JONAS, JJ ;
BENFERRAH, M .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1991, 33 (03) :197-209
[7]   ROLE OF GEOMETRY IN PLASTIC INSTABILITY AND FRACTURE OF TUBES AND SHEET [J].
STOUT, MG ;
HECKER, SS .
MECHANICS OF MATERIALS, 1983, 2 (01) :23-31
[8]  
WEIXIAN WZ, 1990, INT J MECH SCI, V32, P513