关键词: nonlinear ordinary differential equation, nanofluid, Jeffery-Hamel flow, magnetohydrodynamic, Adomian decomposition method

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