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Applied Mathematics and Mechanics (English Edition) ›› 1983, Vol. 4 ›› Issue (5): 765-777.

• Articles • 上一篇    下一篇

ASYMPTOTIC SOLUTION TO A NONLINEAR DIFFUSION PROCESS BY CHIEN-LATTA'S METHOD

梁建华   

  1. Xi’an Jiaotong University}Xi’an, Shanxi
  • 收稿日期:1982-11-22 出版日期:1983-09-18 发布日期:1983-09-18

ASYMPTOTIC SOLUTION TO A NONLINEAR DIFFUSION PROCESS BY CHIEN-LATTA'S METHOD

Liang Jian-hua   

  1. Xi’an Jiaotong University}Xi’an, Shanxi
  • Received:1982-11-22 Online:1983-09-18 Published:1983-09-18

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摘要： In this paper, by using Chien Wei-zang-Latta’s composite expansion method[5],we have obtained the first-order asymptotic solution to a system of equations for a nonlinear diffusion process, thus simplifying and improving the previous work[4] considerably. Moreover, a kind of complete analytical solution has been given for a special case, and the periodic solution at the bifurcation point has been discussed, the related results being in agreement with the experiments.

关键词: mode Ⅱ crack, two-dimensional octagonal quasicrystal, stress intensity factor

Abstract: In this paper, by using Chien Wei-zang-Latta’s composite expansion method[5],we have obtained the first-order asymptotic solution to a system of equations for a nonlinear diffusion process, thus simplifying and improving the previous work[4] considerably. Moreover, a kind of complete analytical solution has been given for a special case, and the periodic solution at the bifurcation point has been discussed, the related results being in agreement with the experiments.

Key words: mode Ⅱ crack, two-dimensional octagonal quasicrystal, stress intensity factor

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