EXTENSION OF THE METHOD OF EIGENFUNCTIONS TO THE BOUNDARY-VALUE PROBLEMS OF MECHANICAL DIFFUSION FOR MULTILAYER BODIES WITH INTERLAYERS


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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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