On the Modeling of Five-Layer Thin Prismatic Bodies
by
Mikhail U. Nikabadze 1, Armine R. Ulukhanyan 2,*
, Tamar Moseshvili 3, Ketevan Tskhakaia 3, Nodar Mardaleishvili 3 and Zurab Arkania 3
, Tamar Moseshvili 3, Ketevan Tskhakaia 3, Nodar Mardaleishvili 3 and Zurab Arkania 3
1
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, 119991 Moscow, Russia
2
Department of Computational Mathematics and Mathematical Physics, Bauman Moscow State Technical University, 105005 Moscow, Russia
3
Mechanics and Mechanical Engineering Department, Akaki Tsereteli State University, 4600 Kutaisi, Georgia
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2019, 24(3), 69; https://doi.org/10.3390/mca24030069
Received: 29 May 2019 / Revised: 1 July 2019 / Accepted: 8 July 2019 / Published: 11 July 2019
(This article belongs to the Special Issue Related Problems of Continuum Mechanics)
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 K-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.
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Keywords:
new parameterization; multilayer body; thin prismatic body; micropolar theory; orthogonal polynomials
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Nikabadze, M.U.; Ulukhanyan, A.R.; Moseshvili, T.; Tskhakaia, K.; Mardaleishvili, N.; Arkania, Z. On the Modeling of Five-Layer Thin Prismatic Bodies. Math. Comput. Appl. 2019, 24, 69.
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