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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

Author: Lamara Bitsadze

Published in: Continuum Mechanics and Thermodynamics | Issue 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.

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Title: Explicit solutions of quasi-static problems in the coupled theory of poroelasticity
Author: Lamara Bitsadze
Publication date: 02-06-2021
Publisher: Springer Berlin Heidelberg
Published in: Continuum Mechanics and Thermodynamics / Issue 6/2021
Print ISSN: 0935-1175
Electronic ISSN: 1432-0959
DOI: https://doi.org/10.1007/s00161-021-01029-9

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