Abstract
A method of eigenfunctions is developed for nonclassical axisymmetrical problems of heat and substance diffusion with generalized contact conditions in multilayer bodies. Based on a scalar product of a nonclassical form, the solutions of the above problems are constructed in the form of expansions in terms of eigenvalues. The solution of the problem of finding stresses caused by diffusion-type processes in multilayer bodies with interlayers is found.
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Shvets, R.M., Yatskiv, O.I. Extension of the Method of Eigenfunctions to the Boundary-Value Problems of Mechanical Diffusion for Multilayer Bodies with Interlayers. Journal of Mathematical Sciences 107, 3691–3696 (2001). https://doi.org/10.1023/A:1011931332128
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DOI: https://doi.org/10.1023/A:1011931332128