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Continuum Mechanics and Thermodynamics

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02.06.2021 | Original Article

Explicit solutions of quasi-static problems in the coupled theory of poroelasticity

verfasst von: Lamara Bitsadze

Erschienen in: Continuum Mechanics and Thermodynamics | Ausgabe 6/2021

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Abstract

This paper is concerned to study quasi-static boundary value problems of coupled linear theory of elasticity for porous circle and for plane with a circular hole. The Dirichlet type boundary value problem for a circle and the Neumann boundary value problem for a plane with a circular hole are solved explicitly. All the formulas are presented in explicit ready-to-use form. The solutions are represented by means of absolutely and uniformly convergent series.

Vorheriger Artikel Elasticity solutions for nano-plane structures under body forces using lattice elasticity, continualised nonlocal model and Eringen nonlocal model

Nächster Artikel Heat conduction in microstructured solids under localised pulse loading

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Titel: Explicit solutions of quasi-static problems in the coupled theory of poroelasticity
verfasst von: Lamara Bitsadze
Publikationsdatum: 02.06.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Continuum Mechanics and Thermodynamics / Ausgabe 6/2021
Print ISSN: 0935-1175
Elektronische ISSN: 1432-0959
DOI: https://doi.org/10.1007/s00161-021-01029-9

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