Nonlinear diffusion-induced stresses in a long bar of square cross section

Chi Chuan Hwang, Senpuu Lin, Hsin Sen Chu, Woei Shyan Lee

研究成果: Article同行評審

3 引文 斯高帕斯(Scopus)


This paper is to investigate the nonlinear effect of the self-induced electric field on the diffusion-induced stresses in a long bar. We first approximate the nonlinear concentration-dependent diffusivity as a series of third-degree polynomials by the least-squares curve-fitting techniques, and then calculate the distributions of concentration by the Galerkin method. Afterwards, the diffusion-induced stresses inside the bar are determined analytically by introducing the Goodier displacement potential and Airy stress function. It is found that the nonlinear self-induced electric fields can depress both the concentration gradient and the maximum diffusion-induced stresses apparently, and these effects are more significant at short times than at long times.

頁(從 - 到)269-284
期刊International Journal of Solids and Structures
出版狀態Published - 1999 1月 1

All Science Journal Classification (ASJC) codes

  • 建模與模擬
  • 一般材料科學
  • 凝聚態物理學
  • 材料力學
  • 機械工業
  • 應用數學


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