A generalized thermoelastic dual-phase-lagging response of thick beams subjected to harmonically varying heat and pressure

• Autorzy: Zenkour A. M.

Identyfikatory

DOI

10.15632/jtam-pl.56.1.15

• Języki publikacji: EN

Abstrakty

EN

The generalized thermoelastic problem of a thermo-mechanically loaded beam is studied. The upper surface of the beam is thermally isolated and subjected to a mechanical load while the bottom surface is traction free and subjected to a heating source. Based on the heat conduction equation containing the thermoelastic coupling term and the two-dimensional elasticity theory, thermoelastic coupling differential equations of motion are established. The generalized thermoelasticity theory with the dual-phase-laggings (DPLs) model is used to solve this problem. A closed-form analytical technique is used to calculate vibration of displacements and temperature. The effects of the phase-laggings (PLs), the intensity of the applied load and heat parameters on the field quantities of the beam are discussed. The variation along the axial direction and through-the-thickness distributions of all fields are investigated. Some comparisons have been also shown graphically to estimate the effects of the time on all the studied fields.

Słowa kluczowe

EN

thermoelasticity; dual-phase-lag model; two-dimensional elasticity solution

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2018
• Tom: Vol. 56 nr 1
• Strony: 15--30
• Opis fizyczny: Bibliogr. 24 poz., rys.

Twórcy

autor

Zenkour A. M.

• Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
• Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafreelsheikh, Egypt

Bibliografia

• 1. Abbas I.A., Zenkour A.M., 2014, Dual-phase-lag model on thermoelastic interactions in a semi-infinite medium subjected to a ramp-type heating, Journal of Computational and Theoretical Nanoscience, 11, 642-645
• 2. Abouelregal A.E., Zenkour A.M., 2014, Effect of phase lags on thermoelastic functionally graded microbeams subjected to ramp-type heating, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering 38, 321-335
• 3. Allam M.N., Elsibai K.A. Abouelregal A.E., 2009, Electromagneto-thermoelastic problem in a thick plate using Green and Naghdi theory, International Journal of Engineering Science, 47, 680-690
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• 5. Chandrasekharaiah D.S., 1998, Hyperbolic thermoelasticity: a review of recent literature, Applied Mechanics Reviews, 51, 705-729
• 6. Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity, 2, 1-7
• 7. Green A.E., Naghdi P.M., 1991, A re-examination of the basic postulates of thermomechanics, Proceedings of the Royal Society, 432, 171-194
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• 9. Green A.E., Naghdi P.M., 1993, Thermoelasticity without energy dissipation, Journal of Elasticity, 31, 189-209
• 10. Guo F.L., Wang G.Q., Rogerson G.A., 2012, Analysis of thermoelastic damping in microand nano-mechanical resonators based on dual-phase-lagging generalized thermoelasticity theory, International Journal of Engineering Science, 60, 59-65
• 11. Kobzar’ V.N., Fil’shtinskii L.A., 2008, The plane dynamic problem of coupled thermoelasticity, Journal of Applied Mathematics and Mechanics, 72, 611-618
• 12. Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids, 15, 299-309
• 13. Mukhopadhyay S., 2004, Thermoelastic interactions without energy dissipation in an unbounded body with a spherical cavity subjected to harmonically varying temperature, Mechanics Research Communications, 31, 81-89
• 14. Mukhopadhyay S., Kumar R., 2008, A study of generalized thermoelastic interactions in an unbounded medium with a spherical cavity, Applied Mathematics and Computation, 56, 2329-2339
• 15. Prasad R., Kumar R., Mukhopadhyay S., 2010, Propagation of harmonic plane waves under thermoelasticity with dual-phase-lags, International Journal of Engineering Science, 48, 2028-2043
• 16. Ram P., Sharma N., Kumar R., 2008, Thermomechanical response of generalized thermoelastic diffusion with one relaxation time due to time harmonic sources, International Journal of Thermal Sciences, 47, 315-323
• 17. Tzou D.Y., 1995a, A unified approach for heat conduction from macro- to micro-scales, Journal of Heat Transfer, 117, 8-16
• 18. Tzou D.Y., 1995b, Experimental support for the Lagging behavior in heat propagation, Journal of Thermophysics and Heat Transfer, 9, 686-693
• 19. Tzou D.Y., 1996, Macro-to-Microscale Heat Transfer: The Lagging Behavior, Washington, DC, Taylor & Francis
• 20. Zenkour A.M., 2015, Three-dimensional thermal shock plate problem within the framework of different thermoelasticity theories, Composite Structures, 132, 1029-1042
• 21. Zenkour A.M., Abouelregal A.E., 2014, Nonlocal thermoelastic vibrations for variable thermal conductivity nanobeams due to harmonically varying heat, Journal of Vibroengineering, 16, 3665-3678
• 22. Zenkour A.M., Abouelregal A.E., 2015, The nonlocal dual phase lag model of thermoelastic nanobeam subjected to a sinusoidal pulse heating, Journal for Computational Methods in Engineering Science and Mechanics, 16, 53-73
• 23. Zenkour A.M., Abouelregal A.E., 2016, Non-simple magnetothermoelastic solid cylinder with variable thermal conductivity due to harmonically varying heat, Earthquakes and Structures, 10, 681-697
• 24. Zenkour A.M., Mashat D.S., Abouelregal A.E., 2013, The effect of dual-phase-lag model on reflection of thermoelastic waves in a solid half space with variable material properties, Acta Mechanica Solida Sinica, 26, 659-670

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).