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Generalized thermoelastic functionally graded half space under surface absorption of laser radiation

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The subject of this paper is to study the thermoelastic behavior of a functionally graded semi-infinite medium heated uniformly by a laser beam having temporally Gaussian distribution. The surface of the medium is taken as traction free. The general solution is obtained in the Laplace transform domain. The inverse of the Laplace transform is computed numerically using the Riemann-sum approximation method. The numerical results for temperature, displacement and stress are obtained and presented graphically for the generalized theory of thermo-elasticity with one relaxation time.
Rocznik
Strony
155--165
Opis fizyczny
Bibliogr. 17 poz., rys.
Twórcy
  • Mansoura University, Faculty of Science, Department of Mathematics, Mansoura, Egypt
autor
  • Majmaah University, College of Education, Department of Mathematics, Saudi Arabia
Bibliografia
  • 1. Allam M.N.M., Abouelregal A.E., 2014, The thermoelastic waves induced by pulsed laser and varying heat of inhomogeneous microscale beam resonators, Journal of Thermal Stresses, 37, 4, 455-470
  • 2. Biot M.A., 1956, Thermoelasticity and irreversible thermodynamics, Journal of Applied Physics, 27, 3, 240-253
  • 3. Boley B.A., Tolins I.S., 1962, Transient coupled thermoelastic boundary value problems in the half-space, Journal of Applied Mechanics, 29, 637-646
  • 4. Chandrasekharaiah D.S., Srinath K.S., 1998, Thermoelastic interactions without energy dissipation due to a point heat source, Journal of Elasticity, 5, 97-108
  • 5. Enguehard F., Bertrand L., 1977, Effects of optical penetration and laser pulse duration on laser generated longitudinal acoustic waves, Journal of Applied Physics, 82, 1532-1538
  • 6. Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity, 2, 1-7
  • 7. Green A.E., Naghdi P.M., 1993, Thermoelasticity without energy dissipation, Journal of Elasticity, 31, 189-208
  • 8. Henain E.F., Hassan A.F., Megahed F., Tayel I.M., 2014, Thermoelastic half space under illumination of a laser beam using lord and shulman theory, Journal of Thermal Stresses, 37, 51-72
  • 9. Kao T.T., 1976, On thermally induced non-fourier stress waves in a semi-infinite medium, AIAA Journal, 14, 818-820
  • 10. Lord, H.W. and Shulman, Y., 1967, A Generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids, 15, 299-309
  • 11. McDonald F.A., 1990, On the precursor in laser-generated ultrasound wave forms in metals, Journal of Applied Physics Letters, 56, 230-232
  • 12. Mozina J., Dovc M., 1994,One-dimensional model of optically induced thermoelastic waves, Modern Physics Letters, 8, 1791-1801
  • 13. Ozisik M.N., Tzou D.Y., 1994, On the wave theory of heat conduction, Journal of Heat Transfer (ASME), 116, 526-535
  • 14. Roberts G.E., Kaufman H., 1966, Table of Laplace Transform, W.B. Saunders, Philadelphia
  • 15. Tzou D.Y., 1995a, Experimental support for the lagging behavior in heat propagation, Journal of Thermophysics and Heat Transfer, 9 , 686-693
  • 16. Tzou D.Y., 1995b, A unified approach for heat conduction from macro to micro scales, Journal of Heat Transfer (ASME), 117, 8-16
  • 17. Wang X., Xu X., 2001, Thermoelastic wave induced by pulsed laser heating, Journal of Applied Physics, 73, 107-114
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7e2a0be9-ada0-4142-9650-5b3c69e35acc
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