Heating a 2D Thermoelastic Half-Space Induced by Volumetric Absorption of a Laser Radiation
In this work, the generalized theory with dual-phase-lag of thermoelasticity is employed to study the influences induced by absorbing a penetrating laser radiation inside a 2D thermoelastic semi-infinite medium. The medium’s surface is presumed to be exposed to temperature-dependent heat losses and...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-11-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/8/11/2094 |
| _version_ | 1797547066737557504 |
|---|---|
| author | Ismail M. Tayel |
| author_facet | Ismail M. Tayel |
| author_sort | Ismail M. Tayel |
| collection | DOAJ |
| description | In this work, the generalized theory with dual-phase-lag of thermoelasticity is employed to study the influences induced by absorbing a penetrating laser radiation inside a 2D thermoelastic semi-infinite medium. The medium’s surface is presumed to be exposed to temperature-dependent heat losses and is traction-free. The considered problem is solved using the integral transforms technique by applying the double-transformation Laplace and Hankel. A numerical fashion is applied to obtain the inverse of the Laplace transformation. The results of this problem are presented graphically for some studied fields. |
| first_indexed | 2024-03-10T14:39:04Z |
| format | Article |
| id | doaj.art-91c1bbc2efaa48de82a5fc2daa903cb9 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T14:39:04Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-91c1bbc2efaa48de82a5fc2daa903cb92023-11-20T21:58:35ZengMDPI AGMathematics2227-73902020-11-01811209410.3390/math8112094Heating a 2D Thermoelastic Half-Space Induced by Volumetric Absorption of a Laser RadiationIsmail M. Tayel0Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Majmaah 11952, Saudi ArabiaIn this work, the generalized theory with dual-phase-lag of thermoelasticity is employed to study the influences induced by absorbing a penetrating laser radiation inside a 2D thermoelastic semi-infinite medium. The medium’s surface is presumed to be exposed to temperature-dependent heat losses and is traction-free. The considered problem is solved using the integral transforms technique by applying the double-transformation Laplace and Hankel. A numerical fashion is applied to obtain the inverse of the Laplace transformation. The results of this problem are presented graphically for some studied fields.https://www.mdpi.com/2227-7390/8/11/2094generalized thermoelasticity with dual-phase-lagheat losseslaser radiationvolumetric absorptionthermal stressesLaplace and Hankel transformation |
| spellingShingle | Ismail M. Tayel Heating a 2D Thermoelastic Half-Space Induced by Volumetric Absorption of a Laser Radiation Mathematics generalized thermoelasticity with dual-phase-lag heat losses laser radiation volumetric absorption thermal stresses Laplace and Hankel transformation |
| title | Heating a 2D Thermoelastic Half-Space Induced by Volumetric Absorption of a Laser Radiation |
| title_full | Heating a 2D Thermoelastic Half-Space Induced by Volumetric Absorption of a Laser Radiation |
| title_fullStr | Heating a 2D Thermoelastic Half-Space Induced by Volumetric Absorption of a Laser Radiation |
| title_full_unstemmed | Heating a 2D Thermoelastic Half-Space Induced by Volumetric Absorption of a Laser Radiation |
| title_short | Heating a 2D Thermoelastic Half-Space Induced by Volumetric Absorption of a Laser Radiation |
| title_sort | heating a 2d thermoelastic half space induced by volumetric absorption of a laser radiation |
| topic | generalized thermoelasticity with dual-phase-lag heat losses laser radiation volumetric absorption thermal stresses Laplace and Hankel transformation |
| url | https://www.mdpi.com/2227-7390/8/11/2094 |
| work_keys_str_mv | AT ismailmtayel heatinga2dthermoelastichalfspaceinducedbyvolumetricabsorptionofalaserradiation |