The Effect of Hydrostatic Initial Stress on the Plane Waves in a Fiber-Reinforced Magneto-Thermoelastic Medium with Fractional Derivative Heat Transfer
An effect of three factors - the order of fractional derivative, the hydrostatic initial stress, and parameter of magnetic field – on the plane waves in the half-space made of fiber-reinforced material, that is described by the theory of generalized magnetothermoelasticity, is studied. The problem i...
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| Дата: | 2016 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут механіки ім. С.П. Тимошенка НАН України
2016
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| Назва видання: | Прикладная механика |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/141049 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Effect of Hydrostatic Initial Stress on the Plane Waves in a Fiber-Reinforced Magneto-Thermoelastic Medium with Fractional Derivative Heat Transfer / N. Sarkar, S.Y. Atwa, M.I.A. Othman // Прикладная механика. — 2016. — Т. 52, № 2. — С. 126-143. — Бібліогр.: 34 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1410492018-07-22T01:23:43Z The Effect of Hydrostatic Initial Stress on the Plane Waves in a Fiber-Reinforced Magneto-Thermoelastic Medium with Fractional Derivative Heat Transfer Sarkar, N. Atwa, S.Y. Othman, M.I.A. An effect of three factors - the order of fractional derivative, the hydrostatic initial stress, and parameter of magnetic field – on the plane waves in the half-space made of fiber-reinforced material, that is described by the theory of generalized magnetothermoelasticity, is studied. The problem is solved numerically using the normal mode analysis. The results correspond to the Lord-Shulman model and the model, that uses the fractional derivatives and are presented in the form of graphs. The findings show pronounced effect of mentioned three factors. The results are compared with the case, when the initial stress and magnetic field are absent. Вивчено вплив трьох факторів – порядку дробових похідних, початкового гідростатичного напруження, параметру магнітного поля – на плоскі хвилі в півпросторі з армованого волокнами матеріалу, який описується теорією узагальненої магнітотермопружності. Задача розв’язана чисельно за допомогою аналізу нормальних мод. Результати аналізу відповідають моделі Лорда – Шульмана і моделі, що описується за допомогою дробових похідних, і представлені у вигляді графіків. Отримані результати показують добре виражений вплив вказаних трьох факторів. Також ці результати порівнюються з результатами, що отримані для випадку відсутності початкового гідростатичного напруження і магнітного поля. 2016 Article The Effect of Hydrostatic Initial Stress on the Plane Waves in a Fiber-Reinforced Magneto-Thermoelastic Medium with Fractional Derivative Heat Transfer / N. Sarkar, S.Y. Atwa, M.I.A. Othman // Прикладная механика. — 2016. — Т. 52, № 2. — С. 126-143. — Бібліогр.: 34 назв. — англ. 0032-8243 http://dspace.nbuv.gov.ua/handle/123456789/141049 en Прикладная механика Інститут механіки ім. С.П. Тимошенка НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
An effect of three factors - the order of fractional derivative, the hydrostatic initial stress, and parameter of magnetic field – on the plane waves in the half-space made of fiber-reinforced material, that is described by the theory of generalized magnetothermoelasticity, is studied. The problem is solved numerically using the normal mode analysis. The results correspond to the Lord-Shulman model and the model, that uses the fractional derivatives and are presented in the form of graphs. The findings show pronounced effect of mentioned three factors. The results are compared with the case, when the initial stress and magnetic field are absent. |
| format |
Article |
| author |
Sarkar, N. Atwa, S.Y. Othman, M.I.A. |
| spellingShingle |
Sarkar, N. Atwa, S.Y. Othman, M.I.A. The Effect of Hydrostatic Initial Stress on the Plane Waves in a Fiber-Reinforced Magneto-Thermoelastic Medium with Fractional Derivative Heat Transfer Прикладная механика |
| author_facet |
Sarkar, N. Atwa, S.Y. Othman, M.I.A. |
| author_sort |
Sarkar, N. |
| title |
The Effect of Hydrostatic Initial Stress on the Plane Waves in a Fiber-Reinforced Magneto-Thermoelastic Medium with Fractional Derivative Heat Transfer |
| title_short |
The Effect of Hydrostatic Initial Stress on the Plane Waves in a Fiber-Reinforced Magneto-Thermoelastic Medium with Fractional Derivative Heat Transfer |
| title_full |
The Effect of Hydrostatic Initial Stress on the Plane Waves in a Fiber-Reinforced Magneto-Thermoelastic Medium with Fractional Derivative Heat Transfer |
| title_fullStr |
The Effect of Hydrostatic Initial Stress on the Plane Waves in a Fiber-Reinforced Magneto-Thermoelastic Medium with Fractional Derivative Heat Transfer |
| title_full_unstemmed |
The Effect of Hydrostatic Initial Stress on the Plane Waves in a Fiber-Reinforced Magneto-Thermoelastic Medium with Fractional Derivative Heat Transfer |
| title_sort |
effect of hydrostatic initial stress on the plane waves in a fiber-reinforced magneto-thermoelastic medium with fractional derivative heat transfer |
| publisher |
Інститут механіки ім. С.П. Тимошенка НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/141049 |
| citation_txt |
The Effect of Hydrostatic Initial Stress on the Plane Waves in a Fiber-Reinforced Magneto-Thermoelastic Medium with Fractional Derivative Heat Transfer / N. Sarkar, S.Y. Atwa, M.I.A. Othman // Прикладная механика. — 2016. — Т. 52, № 2. — С. 126-143. — Бібліогр.: 34 назв. — англ. |
| series |
Прикладная механика |
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