 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| S.M. Abo-Dahab, Ibrahim A. Abbas, and Mohamed I.A. Othman, "Generalized Thermo-Microstretch Elastic Solid for Different Theories with Finite Element Method under the Influence of Gravity Field," Mech. Solids. 58 (9), 3346-3359 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
9 |
Pages |
3346-3359 |
| DOI |
10.3103/S0025654423601489 |
| Title |
Generalized Thermo-Microstretch Elastic Solid for Different Theories with Finite Element Method under the Influence of Gravity Field |
| Author(s) |
S.M. Abo-Dahab (Mathematics Department, Faculty of Science, South Valley University, Qena, 83523 Egypt, sdahb@yahoo.com)
Ibrahim A. Abbas (Mathematics Department, Faculty of Science, Sohag University, Egypt, ibrabbas7@yahoo.com)
Mohamed I.A. Othman (Mathematics Department, Faculty of Science, Zagazig University, Zagazig, 44519 Egypt, m_i_a_othman@yahoo.com) |
| Abstract |
The present paper is aimed at studying the influence of gravity field on the general model of
the generalized thermo-microstretch equations for a homogeneous isotropic elastic half-space solid.
The problem is in the context of the Lord-Şhulman and Green-Lindsay theories, as well as the coupled theory. The Finite Element Method is used to obtain the exact expressions for the displacement
components, force stresses, temperature, couple stresses and microstress distribution. The variations
of the considered variables perpendicular to the axis of rotation are illustrated graphically using MATLAB software. Comparisons are made with the results in the presence and absence of gravity field of
a particular case for the generalized micropolar thermoelasticity medium (without microstretch constants) between the three theories. The results obtained are agreement with the previous results
obtained with neglecting the new external parameters that predict new results applicable and useful for
the related topics as geophysics, biology, acoustics, …, etc. |
| Keywords |
Lord-Şhulman, Green-Lindsay, thermoelasticity, gravity, microstretch, FEM |
| Received |
16 August 2023 | Revised |
04 October 2023 | Accepted |
04 October 2023 |
| Link to Fulltext |
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