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Article

Generalized Thermoelastic Functionally Graded on a Thin Slim Strip Non-Gaussian Laser Beam

1
Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt
2
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
3
Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(7), 1094; https://doi.org/10.3390/sym12071094
Received: 11 May 2020 / Revised: 9 June 2020 / Accepted: 15 June 2020 / Published: 2 July 2020
(This article belongs to the Special Issue Composite Structures with Symmetry)
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 2 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. View Full-Text
Keywords: functionally graded material; FGM; non-Gaussian laser pulse; generalized thermoelasticity; thin slim strip; TSS functionally graded material; FGM; non-Gaussian laser pulse; generalized thermoelasticity; thin slim strip; TSS
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MDPI and ACS Style

Abo-Dahab, S.M.; Abouelregal, A.E.; Marin, M. Generalized Thermoelastic Functionally Graded on a Thin Slim Strip Non-Gaussian Laser Beam. Symmetry 2020, 12, 1094. https://doi.org/10.3390/sym12071094

AMA Style

Abo-Dahab SM, Abouelregal AE, Marin M. Generalized Thermoelastic Functionally Graded on a Thin Slim Strip Non-Gaussian Laser Beam. Symmetry. 2020; 12(7):1094. https://doi.org/10.3390/sym12071094

Chicago/Turabian Style

Abo-Dahab, Sayed M., Ahmed E. Abouelregal, and Marin Marin. 2020. "Generalized Thermoelastic Functionally Graded on a Thin Slim Strip Non-Gaussian Laser Beam" Symmetry 12, no. 7: 1094. https://doi.org/10.3390/sym12071094

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