Application of fractional order theory of thermoelasticity to a 1D problem for a spherical shell

• Autorzy: Raslan W. E.

Identyfikatory

DOI

10.15632/jtam-pl.54.1.295

• Języki publikacji: EN

Abstrakty

EN

In this work, we apply the fractional order theory of thermoelasticity to a one-dimensional problem of distribution of thermal stresses and temperature in a generalized thermoelastic medium in the form of a spherical shell subjected to sudden change in the temperature of its external boundary. Laplace transform techniques are used to solve the problem. Numerical results are computed and represented graphically for the temperature, displacement and stress distributions.

Słowa kluczowe

EN

fractional calculus; spherical shell; thermoelasticity

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 1
• Strony: 295--304
• Opis fizyczny: Bibliogr. 29 poz., rys., tab.

Twórcy

autor

Raslan W. E.

• Mansoura University, Department of Mathematics and Engineering Physics, Mansoura, Egypt

Bibliografia

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• 15. Raslan W., 2015, Application of fractional order theory of thermoelasticity in a thick plate under axisymmetric temperature distribution, Journal of Thermal Stresses, 38, 733-743
• 16. Sherief H., Abd El-Latief A.M., 2014a, Application of fractional order theory of thermoelasticity to a 1D problem for a half-space, ZAMM, 94, 509-515
• 17. Sherief H., Abd El-Latief A.M., 2014b, Application of fractional order theory of thermoelasticity to a 2D problem for a half-space, Applied Mathematics and Computation, 248, 584-592
• 18. Sherief H., Abd El-Latief A.M., 2015, A one-dimensional fractional order thermoelastic problem for a spherical cavity, Mathematics and Mechanics of Solids, 20, 512-521
• 19. Sherief H., Allam M., El-Hagary M., 2011, Generalized theory of thermoviscoelasticity and a half-space problem, International Journal of Thermophysics, 32, 1271-1295
• 20. Sherief H., El-Maghraby N., 2003, An internal penny-shaped crack in an infinite thermoelastic solid, Journal of Thermal Stresses, 26, 333-352
• 21. Sherief H., El-Maghraby N., 2005, A mode I crack problem for an infinite space in generalized thermoelasticity, Journal of Thermal Stresses, 28, 465-484
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• 23. Sherief H., El-Sayed A.M.A., Behiry S.H., Raslan W.E., 2012, Using fractional derivatives to generalize the Hodgkin-Huxley model, Fractional Dynamics and Control, Springer, 275-282
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• 28. Sherief H., Hussein E., 2012, A mathematical model for short-time filtration in poroelastic media with thermal relaxation and two temperatures, Transport in Porous Media, 91, 199-223
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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.