Mathematical Model on Gravitational Electro-Magneto-Thermoelasticity with Two Temperature and Initial Stress in the Context of Three Theories
The main aim of this paper is to study two temperature thermoelasticity in a generalization form to solve the half-space problem of two dimensions under gravity, perturbed magnetic field, and initial stress. The fundamental equations are solved considering a new mathematical technique under Lord-Şhu...
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MDPI AG
2020-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/5/735 |
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| author | Sayed M. Abo-Dahab Alaa A. El-Bary Yas Al-Hadeethi Mohamed Alkashif |
| author_facet | Sayed M. Abo-Dahab Alaa A. El-Bary Yas Al-Hadeethi Mohamed Alkashif |
| author_sort | Sayed M. Abo-Dahab |
| collection | DOAJ |
| description | The main aim of this paper is to study two temperature thermoelasticity in a generalization form to solve the half-space problem of two dimensions under gravity, perturbed magnetic field, and initial stress. The fundamental equations are solved considering a new mathematical technique under Lord-Şhulman (LS), Green-Naghdi (GN type III) and three-phase-lag (3PHL) theories to investigate displacement, stress components, and temperature distribution. The results obtained by the three theories, i.e., (LS), (GN type III), and (3PHL), considering the absence and the presence of gravity, initial stress, and magnetic field have been compared. The results were numerically calculated and graphically displayed to exhibit the physical meaning of the phenomenon and the external parameters’ effect. A comparison has been presented between the results obtained in the absence and the presence of the external considered parameters and with the previously obtained results by other researchers. |
| first_indexed | 2024-03-10T19:59:03Z |
| format | Article |
| id | doaj.art-13471c3ed516421fa9c86df663ef8bde |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T19:59:03Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj.art-13471c3ed516421fa9c86df663ef8bde2023-11-19T23:43:08ZengMDPI AGMathematics2227-73902020-05-018573510.3390/math8050735Mathematical Model on Gravitational Electro-Magneto-Thermoelasticity with Two Temperature and Initial Stress in the Context of Three TheoriesSayed M. Abo-Dahab0Alaa A. El-Bary1Yas Al-Hadeethi2Mohamed Alkashif3Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, EgyptDepartment of Basic and Applied Science, Arab Academy for Science, Technology and Maritime Transport, Alexandria P.O. Box 1029, EgyptDepartment of Physics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Taif University, Taif 888, Saudi ArabiaThe main aim of this paper is to study two temperature thermoelasticity in a generalization form to solve the half-space problem of two dimensions under gravity, perturbed magnetic field, and initial stress. The fundamental equations are solved considering a new mathematical technique under Lord-Şhulman (LS), Green-Naghdi (GN type III) and three-phase-lag (3PHL) theories to investigate displacement, stress components, and temperature distribution. The results obtained by the three theories, i.e., (LS), (GN type III), and (3PHL), considering the absence and the presence of gravity, initial stress, and magnetic field have been compared. The results were numerically calculated and graphically displayed to exhibit the physical meaning of the phenomenon and the external parameters’ effect. A comparison has been presented between the results obtained in the absence and the presence of the external considered parameters and with the previously obtained results by other researchers.https://www.mdpi.com/2227-7390/8/5/735thermoelasticitymagnetic fieldinitial stressgravitytwo temperatureLord-Şhulman (LS) |
| spellingShingle | Sayed M. Abo-Dahab Alaa A. El-Bary Yas Al-Hadeethi Mohamed Alkashif Mathematical Model on Gravitational Electro-Magneto-Thermoelasticity with Two Temperature and Initial Stress in the Context of Three Theories Mathematics thermoelasticity magnetic field initial stress gravity two temperature Lord-Şhulman (LS) |
| title | Mathematical Model on Gravitational Electro-Magneto-Thermoelasticity with Two Temperature and Initial Stress in the Context of Three Theories |
| title_full | Mathematical Model on Gravitational Electro-Magneto-Thermoelasticity with Two Temperature and Initial Stress in the Context of Three Theories |
| title_fullStr | Mathematical Model on Gravitational Electro-Magneto-Thermoelasticity with Two Temperature and Initial Stress in the Context of Three Theories |
| title_full_unstemmed | Mathematical Model on Gravitational Electro-Magneto-Thermoelasticity with Two Temperature and Initial Stress in the Context of Three Theories |
| title_short | Mathematical Model on Gravitational Electro-Magneto-Thermoelasticity with Two Temperature and Initial Stress in the Context of Three Theories |
| title_sort | mathematical model on gravitational electro magneto thermoelasticity with two temperature and initial stress in the context of three theories |
| topic | thermoelasticity magnetic field initial stress gravity two temperature Lord-Şhulman (LS) |
| url | https://www.mdpi.com/2227-7390/8/5/735 |
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