Summary
In this paper, the uncoupled version of Aifantis bilinear stress-assisted theory of diffusion through a linear elastic solid is considered. In analogy to thermoelasticity the basic equations and certain special represertations of the general problem are presented. The general three-dimensional problem is reduced to a problem of body and surface forces and the reciprocal diffuso-elastic theorem is established. Analytical solutions of particular diffusion problems are derived and a complex formulation of the two-dimensional clastodiffusion problem is given. A crack elastodiffusion problem is considered as an application of the complex representation.
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Kattis, M.A. On the uncoupled problem of stress-assisted diffusion through a linear elastic solid. Acta Mechanica 96, 37–46 (1993). https://doi.org/10.1007/BF01340698
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DOI: https://doi.org/10.1007/BF01340698