Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (3): 1375-1381.

• Articles • 上一篇    下一篇

A FINITE ELEMENT METHOD FOR STRESS ANALYSIS OR ELASTOPLASTIC BODY WITH POLYGONAL LINE STRAIN——HARDENING

徐孝伟, 沈珏铭, 邬耀宗   

  1. Hangzhou University, Hangzhou
  • 收稿日期:1983-06-08 出版日期:1984-05-18 发布日期:1984-05-18
  • 通讯作者: Chien Wei-zang

A FINITE ELEMENT METHOD FOR STRESS ANALYSIS OR ELASTOPLASTIC BODY WITH POLYGONAL LINE STRAIN——HARDENING

Xu Xiao-wei, Shen Jue-ming, Wu Yao-zhong   

  1. Hangzhou University, Hangzhou
  • Received:1983-06-08 Online:1984-05-18 Published:1984-05-18

摘要: In this paper, the stress-strain curve of material is fitted by polygonal line composed of three lines. According to the theory of proportional loading in elastoplasticity, we simplify the complete stress-strain relations, which are given by the increment theory of elastoplasticity. Thus, the finite element equation with the solution of displacement is derived. The assemblage elastoplastic stiffness matrix can be obtained by adding something to the elastic matrix, hence it will shorten the computing time. The determination of every loading increment follows the von Mises yield criteria. The iterative method is used in computation. It omits the redecomposition of the assemblage stiffness matrix and it will step further to shorten the computing time. Illustrations are given to the high-order element application departure from proportional loading, the computation of unloading fitting to the curve and the problem of load estimation.

关键词: electrically charged jet, stability, electrospinning

Abstract: In this paper, the stress-strain curve of material is fitted by polygonal line composed of three lines. According to the theory of proportional loading in elastoplasticity, we simplify the complete stress-strain relations, which are given by the increment theory of elastoplasticity. Thus, the finite element equation with the solution of displacement is derived. The assemblage elastoplastic stiffness matrix can be obtained by adding something to the elastic matrix, hence it will shorten the computing time. The determination of every loading increment follows the von Mises yield criteria. The iterative method is used in computation. It omits the redecomposition of the assemblage stiffness matrix and it will step further to shorten the computing time. Illustrations are given to the high-order element application departure from proportional loading, the computation of unloading fitting to the curve and the problem of load estimation.

Key words: electrically charged jet, stability, electrospinning

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