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Acta Mechanica

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24.06.2020 | Original Paper

Explicit solution of one boundary value problem of thermoelasticity for a circle with diffusion, microtemperatures, and microconcentrations

verfasst von: Lamara Bitsadze

Erschienen in: Acta Mechanica | Ausgabe 9/2020

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Abstract

In the present paper, an explicit solution of the Dirichlet BVP for an isotropic circle with diffusion, microtemperatures, and microconcentrations is presented. The general solution of the system of equations for isotropic materials with diffusion, microtemperatures, and microconcentrations by means of elementary (harmonic, bi-harmonic, and meta-harmonic) functions is constructed. The obtained solution of the Dirichlet BVP is presented as absolutely and uniformly convergent series.

Vorheriger Artikel A Mixed Eulerian–Lagrangian scheme for scalar transport

Nächster Artikel Issues related to the second spectrum, Ostrogradsky’s energy and the stabilization of Timoshenko–Ehrenfest-type systems

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Titel: Explicit solution of one boundary value problem of thermoelasticity for a circle with diffusion, microtemperatures, and microconcentrations
verfasst von: Lamara Bitsadze
Publikationsdatum: 24.06.2020
Verlag: Springer Vienna
Erschienen in: Acta Mechanica / Ausgabe 9/2020
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-020-02729-0

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