Influence of gravity and mechanical strip load on micropolar thermoelastic medium in the context of multi-temperatures theory

Authors

  • E.M. Abd-Elaziz Ministry of Higher Education, Higher Institute of Eng. & Tech., Zagazig, Egypt
  • M. Marin Transilvania University of Brasov, Romania
  • M.I.A. Othman Zagazig University, Zagazig, Egypt

DOI:

https://doi.org/10.31926/but.mif.2024.4.66.2.1

Keywords:

gravitational field, mechanical strip load, micropolar thermoelasticity, multi-temperatures model, Laplace-Fourier transforms technique

Abstract

A new model of multi-temperatures for a generalized micropolar thermoelastic medium has been established in this paper. A medium is affected by a gravitational field and two types of mechanical strip load (continuous load and impact load). The technique called Laplace Fourier transform has been utilized to obtain the analytical expressions of variables under deliberation. The numerical and graphical illustration of the results has been carried out to indicate the differences among one temperature model, the classical dual-temperature model, and the hyperbolic dual-temperature model upon the Lord and Shulman theory. Also, in the case of Coupled Theory (CT) and Lord and Shulman's theory (L-S), we discussed the effect of the gravitational field and mechanical strip load. The most significant points are highlighted. The current investigation has led us to deduce some particular cases of special interest. When it comes to heat conduction’s new general model then this study will be extremely beneficial in developing a better understanding of the ingrained features.

Author Biographies

M. Marin, Transilvania University of Brasov, Romania

Department of Mathematics and Computer Science, 500036;
Academy of Romanian Scientists, Bucharest, Romania
Ilfov Street, No. 3, 050045

M.I.A. Othman, Zagazig University, Zagazig, Egypt

Department of Mathematics, Faculty of Science, P.O. Box 44519

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Published

2024-09-03

Issue

Section

MATHEMATICS