Explicit Solutions of the Boundary Value Problems for an Ellipse with Double Porosity
Joint Authors
Bitsadze, Lamara
Zirakashvili, Natela
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-31
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The basic two-dimensional boundary value problems of the fully coupled linear equilibrium theory of elasticity for solids with double porosity structure are reduced to the solvability of two types of a problem.
The first one is the BVPs for the equations of classical elasticity of isotropic bodies, and the other is the BVPs for the equations of pore and fissure fluid pressures.
The solutions of these equations are presented by means of elementary (harmonic, metaharmonic, and biharmonic) functions.
On the basis of the gained results, we constructed an explicit solution of some basic BVPs for an ellipse in the form of absolutely uniformly convergent series.
American Psychological Association (APA)
Bitsadze, Lamara& Zirakashvili, Natela. 2016. Explicit Solutions of the Boundary Value Problems for an Ellipse with Double Porosity. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1095771
Modern Language Association (MLA)
Bitsadze, Lamara& Zirakashvili, Natela. Explicit Solutions of the Boundary Value Problems for an Ellipse with Double Porosity. Advances in Mathematical Physics No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1095771
American Medical Association (AMA)
Bitsadze, Lamara& Zirakashvili, Natela. Explicit Solutions of the Boundary Value Problems for an Ellipse with Double Porosity. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1095771
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095771