Generalized Thermoelastic Functionally Graded on a Thin Slim Strip Non-Gaussian Laser Beam
The present study utilizes the generalized thermoelasticity theory, with one thermal relaxation time (TR), to examine the thermoelastic problem of a functionally graded thin slim strip (TSS). The authors heated the plane surface bounding using a non-Gaussian laser beam with a pulse length of <inl...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/7/1094 |
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| author | Sayed M. Abo-Dahab Ahmed E. Abouelregal Marin Marin |
| author_facet | Sayed M. Abo-Dahab Ahmed E. Abouelregal Marin Marin |
| author_sort | Sayed M. Abo-Dahab |
| collection | DOAJ |
| description | The present study utilizes the generalized thermoelasticity theory, with one thermal relaxation time (TR), to examine the thermoelastic problem of a functionally graded thin slim strip (TSS). The authors heated the plane surface bounding using a non-Gaussian laser beam with a pulse length of <inline-formula> <math display="inline"> <semantics> <mn>2</mn> </semantics> </math> </inline-formula> ps. The material characteristics varied continually based on exponential functions. Moreover, the equations governing the generalized thermoelasticity for a functionally graded material (FGM) are recognized. The problem’s ideal solution was primarily obtained in the Laplace transform (LT) space. The LTs were converted numerically because of the considerable importance of the response in the transient state. For a hypothetical substance, the numerical procedures calculating the displacement, stress, temperature and strain were given. The analogous problem solution to an isotropic homogeneous material was provided by defining the parameter of non-homogeneity adequately. The obtained results were displayed using graphs to illustrate the extent to which non-homogeneity affected displacement, stress, temperature and strain. A comparison was been made between the present study and those previously obtained by others, when the new parameters vanish to show the impact of the non-homogeneity, TSS and laser parameters on the phenomenon. The results obtained indicate a significant strong impact of FGM, TSS and laser parameters. |
| first_indexed | 2024-03-10T18:45:01Z |
| format | Article |
| id | doaj.art-efc094ed7e064753a6218a4c52536919 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T18:45:01Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-efc094ed7e064753a6218a4c525369192023-11-20T05:37:21ZengMDPI AGSymmetry2073-89942020-07-01127109410.3390/sym12071094Generalized Thermoelastic Functionally Graded on a Thin Slim Strip Non-Gaussian Laser BeamSayed M. Abo-Dahab0Ahmed E. Abouelregal1Marin Marin2Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, EgyptDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, RomaniaThe present study utilizes the generalized thermoelasticity theory, with one thermal relaxation time (TR), to examine the thermoelastic problem of a functionally graded thin slim strip (TSS). The authors heated the plane surface bounding using a non-Gaussian laser beam with a pulse length of <inline-formula> <math display="inline"> <semantics> <mn>2</mn> </semantics> </math> </inline-formula> ps. The material characteristics varied continually based on exponential functions. Moreover, the equations governing the generalized thermoelasticity for a functionally graded material (FGM) are recognized. The problem’s ideal solution was primarily obtained in the Laplace transform (LT) space. The LTs were converted numerically because of the considerable importance of the response in the transient state. For a hypothetical substance, the numerical procedures calculating the displacement, stress, temperature and strain were given. The analogous problem solution to an isotropic homogeneous material was provided by defining the parameter of non-homogeneity adequately. The obtained results were displayed using graphs to illustrate the extent to which non-homogeneity affected displacement, stress, temperature and strain. A comparison was been made between the present study and those previously obtained by others, when the new parameters vanish to show the impact of the non-homogeneity, TSS and laser parameters on the phenomenon. The results obtained indicate a significant strong impact of FGM, TSS and laser parameters.https://www.mdpi.com/2073-8994/12/7/1094functionally graded materialFGMnon-Gaussian laser pulsegeneralized thermoelasticitythin slim stripTSS |
| spellingShingle | Sayed M. Abo-Dahab Ahmed E. Abouelregal Marin Marin Generalized Thermoelastic Functionally Graded on a Thin Slim Strip Non-Gaussian Laser Beam Symmetry functionally graded material FGM non-Gaussian laser pulse generalized thermoelasticity thin slim strip TSS |
| title | Generalized Thermoelastic Functionally Graded on a Thin Slim Strip Non-Gaussian Laser Beam |
| title_full | Generalized Thermoelastic Functionally Graded on a Thin Slim Strip Non-Gaussian Laser Beam |
| title_fullStr | Generalized Thermoelastic Functionally Graded on a Thin Slim Strip Non-Gaussian Laser Beam |
| title_full_unstemmed | Generalized Thermoelastic Functionally Graded on a Thin Slim Strip Non-Gaussian Laser Beam |
| title_short | Generalized Thermoelastic Functionally Graded on a Thin Slim Strip Non-Gaussian Laser Beam |
| title_sort | generalized thermoelastic functionally graded on a thin slim strip non gaussian laser beam |
| topic | functionally graded material FGM non-Gaussian laser pulse generalized thermoelasticity thin slim strip TSS |
| url | https://www.mdpi.com/2073-8994/12/7/1094 |
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