Nonlinear diffusion-induced stresses in a long bar of square cross section
✍ Scribed by Chi-Chuan Hwang; Senpuu Lin; Hsin-Sen Chu; Woei-Shyan Lee
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 320 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0020-7683
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✦ Synopsis
This paper is to investigate the nonlinear e}ect of the self!induced electric _eld on the di}usion!induced stresses in a long bar[ We _rst approximate the nonlinear concentration!dependent di}usivity as a series of third!degree polynomials by the least!squares curve!_tting techniques\ and then calculate the distributions of concentration by the Galerkin method[ Afterwards\ the di}usion!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 _elds can depress both the concentration gradient and the maximum di}usion!induced stresses apparently\ and these e}ects are more signi_cant at short times than at long times[ Þ 0887 Elsevier Science Ltd[ All rights reserved