Open Access

ARTICLE

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

by Sun-Chien Ko¹, Chen-Ti Hu¹, Sanboh Lee¹, Y.T. Chou³

1 Department of Materials Science and Engineering, National Tsing Hua University, Hsinchu, Taiwan
2 Advanced Technology Research Laboratory, Telecommunication Laboratories, Chunghwa Telecom Company, Taoyuan, Taiwan
3 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 (D_A) being much greater than that in B (D_B). 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 (D_A/D_B) 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.

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Keywords

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