PLASTIC STRESS-STRAIN MATRIX AND ITS APPLICATION FOR SOLUTION OF ELASTIC-PLASTIC PROBLEMS BY FINITE ELEMENT METHOD

被引:434
作者
YAMADA, Y
YOSHIMUR.N
SAKURAI, T
机构
[1] The Institute of Industrial Science, The University of Tokyo, Tokyo
[2] Mitsubishi Atomic Power Industries, Inc., Tokyo
关键词
D O I
10.1016/0020-7403(68)90001-5
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
A method is proposed for the solution of the continuum elastic-plastic problems by means of the finite element approach. The method is based on a plastic stress-strain matrix which is derivable by inverting the Prandtl-Reuss equations in plasticity theory. The matrix is of quite simple form and facilitates the incremental treatment of elastic-plastic problems. The present approach follows the indication of Marcal and King's work, but uses the small and varying increments of load sufficient to just cause yield in the successive elements, the continuum being divided into triangular elements. As examples of solutions notched tension specimens under conditions of plane stress are studied. © 1968.
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页码:343 / &
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