Applied Mathematics and Mechanics (English Edition) ›› 1983, Vol. 4 ›› Issue (6): 943-954.

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THE ASYMPTOTIC ANALYEICAL SOLUTION OF THE STRAIN-HARDENING ELASTO-PLASTIC PLATE CONTAINING A CIRCULAR HOLE UNDER SIMPLE TENSION THE ASYMPTOTIC ANALYEICAL SOLUTION OF THE STRAIN-HARDENING ELASTO-PLASTIC PLATE CONTAINING A CIRCULAR HOLE UNDER SIMPLE TENSION

Dong Ya-min, Zhu Zu-cheng, Gu Qiu-lin   

  1. Tsinghua University
  • Received:1982-12-01 Online:1983-11-18 Published:1983-11-18

Abstract: In this paper the general asymptotic analytical solution of plane problem of elasto-plasticity with strain-hardening[2] is used in solving the problem of an infinitely large plate containing a circular hole under simple tension, and the analytical expressions of stress components of the first two approximations are given, These results are compared with the numerical and the experimental results given by other authors[4,5], and a good agreement is obtained. At the end of this paper the authors inspect the correctness of Neuber's formula[9] for this problem.

Key words: Adomian decomposition method, magnetohydrodynamic, nonlinear ordinary differential equation, nanofluid, Jeffery-Hamel flow

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