A Modified Two-Relaxation Thermoelastic Model for a Thermal Shock of Rotating Infinite Medium
A unified form of thermoelasticity theory that contains three familiar generalized thermoelasticity. The Lord–Shulman theory, Green–Lindsay theory, and the classical one can be outlined in this form. The field quantities of a rotating/non-rotating half-space with and without the effect of the decay...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-12-01
|
| Series: | Materials |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1944/15/24/9056 |
| _version_ | 1797456515301376000 |
|---|---|
| author | Maryam H. Aljadani Ashraf M. Zenkour |
| author_facet | Maryam H. Aljadani Ashraf M. Zenkour |
| author_sort | Maryam H. Aljadani |
| collection | DOAJ |
| description | A unified form of thermoelasticity theory that contains three familiar generalized thermoelasticity. The Lord–Shulman theory, Green–Lindsay theory, and the classical one can be outlined in this form. The field quantities of a rotating/non-rotating half-space with and without the effect of the decay parameter can be obtained due to the unified thermoelasticity theory. The present medium is subjected to a time-dependent thermal shock taking into account that the magnitude of the thermal shock wave is not totally fixed but decaying over time. A special case of a thermal shock waveform with constant magnitude may be considered. The field quantities such as temperature, displacements, and stresses of the present problem are analytically obtained. Some plots of these field variables are presented in two- and three-dimensional illustrations in the context of refined theories. |
| first_indexed | 2024-03-09T16:08:55Z |
| format | Article |
| id | doaj.art-4affef27be524d63993b3e335dbd308b |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-09T16:08:55Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-4affef27be524d63993b3e335dbd308b2023-11-24T16:26:22ZengMDPI AGMaterials1996-19442022-12-011524905610.3390/ma15249056A Modified Two-Relaxation Thermoelastic Model for a Thermal Shock of Rotating Infinite MediumMaryam H. Aljadani0Ashraf M. Zenkour1Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah 21421, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaA unified form of thermoelasticity theory that contains three familiar generalized thermoelasticity. The Lord–Shulman theory, Green–Lindsay theory, and the classical one can be outlined in this form. The field quantities of a rotating/non-rotating half-space with and without the effect of the decay parameter can be obtained due to the unified thermoelasticity theory. The present medium is subjected to a time-dependent thermal shock taking into account that the magnitude of the thermal shock wave is not totally fixed but decaying over time. A special case of a thermal shock waveform with constant magnitude may be considered. The field quantities such as temperature, displacements, and stresses of the present problem are analytically obtained. Some plots of these field variables are presented in two- and three-dimensional illustrations in the context of refined theories.https://www.mdpi.com/1996-1944/15/24/9056Lord–Shulman theoryGreen–Lindsay theorythermal shockrotating half-space |
| spellingShingle | Maryam H. Aljadani Ashraf M. Zenkour A Modified Two-Relaxation Thermoelastic Model for a Thermal Shock of Rotating Infinite Medium Materials Lord–Shulman theory Green–Lindsay theory thermal shock rotating half-space |
| title | A Modified Two-Relaxation Thermoelastic Model for a Thermal Shock of Rotating Infinite Medium |
| title_full | A Modified Two-Relaxation Thermoelastic Model for a Thermal Shock of Rotating Infinite Medium |
| title_fullStr | A Modified Two-Relaxation Thermoelastic Model for a Thermal Shock of Rotating Infinite Medium |
| title_full_unstemmed | A Modified Two-Relaxation Thermoelastic Model for a Thermal Shock of Rotating Infinite Medium |
| title_short | A Modified Two-Relaxation Thermoelastic Model for a Thermal Shock of Rotating Infinite Medium |
| title_sort | modified two relaxation thermoelastic model for a thermal shock of rotating infinite medium |
| topic | Lord–Shulman theory Green–Lindsay theory thermal shock rotating half-space |
| url | https://www.mdpi.com/1996-1944/15/24/9056 |
| work_keys_str_mv | AT maryamhaljadani amodifiedtworelaxationthermoelasticmodelforathermalshockofrotatinginfinitemedium AT ashrafmzenkour amodifiedtworelaxationthermoelasticmodelforathermalshockofrotatinginfinitemedium AT maryamhaljadani modifiedtworelaxationthermoelasticmodelforathermalshockofrotatinginfinitemedium AT ashrafmzenkour modifiedtworelaxationthermoelasticmodelforathermalshockofrotatinginfinitemedium |