A STRESS RATE MEASURE FOR FINITE ELASTIC PLASTIC-DEFORMATIONS

被引:17
|
作者
XIA, Z
ELLYIN, F
机构
[1] Department of Mechanical Engineering, University of Alberta, Edmonton, T6G 2G8, Alberta
关键词
D O I
10.1007/BF01174289
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A new stress rate, based on the spin of a material triad that coincides momentarily with the principal stress axes, is applied to the analysis of constrained and unconstrained shear with and without superposed normal stresses of hypoelastic and rigid plastic, kinematically hardening solids. A comparative study of various alternative stress rates that have been proposed, including the Jaumann rate, favours the new formulation from the viewpoints of qualitative behaviour, general applicability and ease of implementation. In particular, the present rate is the only one which furnishes a limiting value for tan beta (beta being inclination of a vertical fall of a material cube) in unconstrained shear with and without normal stresses.
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页码:1 / 14
页数:14
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