Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 28
Problems of the Coupled Theory of Thermoelasticity for Double-Porosity Materials
Merab Svanadze
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
December 10, 2021
March 03, 2043
April 15, 2043

Abstract: The mathematical models of multi-porosity media represent a new possibility for the study of important problems of engineering, technology and mechanics [1]. In this work, the linear model of thermoelasticity for double-porosity materials is presented in which the coupled phenomenon of the concepts of Darcy's law and the volume fraction of pore network is proposed. Then, the basic internal and external boundary value problems (BVPs) of steady vibrations are investigated. Indeed, the fundamental solution of the system of steady vibration equations is constructed. Green’s identities are ...