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Explicit solutions of boundary value problems of elasticity for circle with a double-voids structure

  • Lamara BitsadzeEmail author
Review
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Abstract

The present paper is devoted to the explicit solutions of the equilibrium boundary value problems (BVPs) for an elastic circle and for full plane with circular hole with a double-voids structure. The regular solution of the system of equations for an isotropic material with a double-voids structure is constructed by means of the elementary (harmonic, bi-harmonic and meta-harmonic) functions. The Dirichlet-type BVPs for a circle and for a plane with a circular hole are solved explicitly. The obtained solutions are presented as absolutely and uniformly convergent series.

Keywords

Explicit solutions Circle Plane with a circular hole Material with voids 

Notes

Compliance with ethical standards

Conflict of interest

The author declares that there is no conflict of interest regarding the publication of this paper.

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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  1. 1.I. Vekua Institute of Applied Mathematics of Iv. JavakhishviliTbilisi State UniversityTbilisiGeorgia

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