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Chemical Stresses Induced by Boundary Layer Diffusion in a Cylindrical Sandwich Composite

Sun-Chien Ko1,2, Chen-Ti Hu1, Sanboh Lee1, Y.T. Chou3
Department of Materials Science and Engineering, National Tsing Hua University, Hsinchu, Taiwan
Advanced Technology Research Laboratory, Telecommunication Laboratories, Chunghwa Telecom Company, Taoyuan, Taiwan
Department of Chemical Engineering and Materials Science, University of California, Irvine, California 92697, U.S.A

Computers, Materials & Continua 2012, 28(2), 165-180. https://doi.org/10.3970/cmc.2012.028.165

Abstract

The chemical stresses developed in a cylindrical sandwich composite during radial boundary layer diffusion have been investigated. The system consists of a thin layer A of circular cross section sandwiched between two semi-infinite outer layers B, with the diffusivity of diffusant in A (DA) being much greater than that in B (DB). Two boundary conditions, the constant surface concentration and the instantaneous surface concentration, were considered. The concentration distributions were obtained by the Bessel-Laplace transform method. The stress functions were solved analytically based on the linear elasticity. Numerical computations were performed to illustrate the effects of the diffusivity ratio (DA/DB) and of the thickness of the central layer A on stress distributions. The results show that the induced stress in layer A increases as the diffusivity ratio, or its thickness, increases, in consistency with the general findings for composites of rectangular geometry.

Keywords

Chemical stress, Boundary layer diffusion, Cylindrical sandwich composite

Cite This Article

S. . Ko, C. . Hu, S. . Lee and Y. . Chou, "Chemical stresses induced by boundary layer diffusion in a cylindrical sandwich composite," Computers, Materials & Continua, vol. 28, no.2, pp. 165–180, 2012.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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