On the Modeling of Five-Layer Thin Prismatic Bodies

Proceeding from three-dimensional formulations of initial boundary value problems of the three-dimensional linear micropolar theory of thermoelasticity, similar formulations of initial boundary value problems for the theory of multilayer thermoelastic thin bodies are obtained. The initial boundary v...

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Bibliographic Details
Main Authors: Mikhail U. Nikabadze, Armine R. Ulukhanyan, Tamar Moseshvili, Ketevan Tskhakaia, Nodar Mardaleishvili, Zurab Arkania
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Mathematical and Computational Applications
Subjects:
Online Access:https://www.mdpi.com/2297-8747/24/3/69
Description
Summary:Proceeding from three-dimensional formulations of initial boundary value problems of the three-dimensional linear micropolar theory of thermoelasticity, similar formulations of initial boundary value problems for the theory of multilayer thermoelastic thin bodies are obtained. The initial boundary value problems for thin bodies are also obtained in the moments with respect to systems of orthogonal polynomials. We consider some particular cases of formulations of initial boundary value problems. In particular, the statements of the initial-boundary value problems of the micropolar theory of <i>K</i>-layer thin prismatic bodies are considered. From here, we can easily get the statements of the initial-boundary value problems for the five-layer thin prismatic bodies.
ISSN:2297-8747