Eigenvalue approach to coupled thermoelasticity in a rotating isotropic medium
In this paper the linear theory of the thermoelasticity has been employed to study the effect of the rotation in a thermoelastic half-space containing heat source on the boundary of the half-space. It is assumed that the medium under consideration is traction free, homogeneous, isotropic, as well as...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-03-01
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| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379717307829 |
| _version_ | 1817979164786950144 |
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| author | F.S. Bayones A.M. Abd-Alla |
| author_facet | F.S. Bayones A.M. Abd-Alla |
| author_sort | F.S. Bayones |
| collection | DOAJ |
| description | In this paper the linear theory of the thermoelasticity has been employed to study the effect of the rotation in a thermoelastic half-space containing heat source on the boundary of the half-space. It is assumed that the medium under consideration is traction free, homogeneous, isotropic, as well as without energy dissipation. The normal mode analysis has been applied in the basic equations of coupled thermoelasticity and finally the resulting equations are written in the form of a vector- matrix differential equation which is then solved by eigenvalue approach. Numerical results for the displacement components, stresses, and temperature are given and illustrated graphically. Comparison was made with the results obtained in the presence and absence of the rotation. The results indicate that the effect of rotation, non-dimensional thermal wave and time are very pronounced. Keywords: Thermal stresses, Thermoelasticity, Energy dissipation, Rotation, Half-space |
| first_indexed | 2024-04-13T22:39:17Z |
| format | Article |
| id | doaj.art-ba85d1ee9fc2409492674b0eb246f684 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-13T22:39:17Z |
| publishDate | 2018-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-ba85d1ee9fc2409492674b0eb246f6842022-12-22T02:26:40ZengElsevierResults in Physics2211-37972018-03-018715Eigenvalue approach to coupled thermoelasticity in a rotating isotropic mediumF.S. Bayones0A.M. Abd-Alla1Mathematics Department, Faculty of Science, Taif University, Saudi ArabiaMathematics Department, Faculty of Science, Sohag, Egypt; Corresponding author.In this paper the linear theory of the thermoelasticity has been employed to study the effect of the rotation in a thermoelastic half-space containing heat source on the boundary of the half-space. It is assumed that the medium under consideration is traction free, homogeneous, isotropic, as well as without energy dissipation. The normal mode analysis has been applied in the basic equations of coupled thermoelasticity and finally the resulting equations are written in the form of a vector- matrix differential equation which is then solved by eigenvalue approach. Numerical results for the displacement components, stresses, and temperature are given and illustrated graphically. Comparison was made with the results obtained in the presence and absence of the rotation. The results indicate that the effect of rotation, non-dimensional thermal wave and time are very pronounced. Keywords: Thermal stresses, Thermoelasticity, Energy dissipation, Rotation, Half-spacehttp://www.sciencedirect.com/science/article/pii/S2211379717307829 |
| spellingShingle | F.S. Bayones A.M. Abd-Alla Eigenvalue approach to coupled thermoelasticity in a rotating isotropic medium Results in Physics |
| title | Eigenvalue approach to coupled thermoelasticity in a rotating isotropic medium |
| title_full | Eigenvalue approach to coupled thermoelasticity in a rotating isotropic medium |
| title_fullStr | Eigenvalue approach to coupled thermoelasticity in a rotating isotropic medium |
| title_full_unstemmed | Eigenvalue approach to coupled thermoelasticity in a rotating isotropic medium |
| title_short | Eigenvalue approach to coupled thermoelasticity in a rotating isotropic medium |
| title_sort | eigenvalue approach to coupled thermoelasticity in a rotating isotropic medium |
| url | http://www.sciencedirect.com/science/article/pii/S2211379717307829 |
| work_keys_str_mv | AT fsbayones eigenvalueapproachtocoupledthermoelasticityinarotatingisotropicmedium AT amabdalla eigenvalueapproachtocoupledthermoelasticityinarotatingisotropicmedium |