Browse > Article
http://dx.doi.org/10.12989/sss.2017.20.4.451

Variability of thermal properties for a thermoelastic loaded nanobeam excited by harmonically varying heat  

Abouelregal, A.E. (Department of Mathematics, Faculty of Science, Mansoura University)
Zenkour, A.M. (Department of Mathematics, Faculty of Science, King Abdulaziz University)
Publication Information
Smart Structures and Systems / v.20, no.4, 2017 , pp. 451-460 More about this Journal
Abstract
This work produces a new model of nonlocal thermoelastic nanobeams of temperature-dependent physical properties. A nanobeam is excited by harmonically varying heat and subjected to an exponential decaying time varying load. The analytical solution is obtained by means of Laplace transform method in time domain. Inversions of transformed solutions have been preceded by using calculus of residues. Effects of nonlocal parameter, variability thermal conductivity, varying load and angular frequency of thermal vibration on studied fields of nanobeam are investigated and discussed.
Keywords
nanobeam; varying load; harmonically heating; variability thermal conductivity; nonlocal thermoelasticity;
Citations & Related Records
Times Cited By KSCI : 6  (Citation Analysis)
연도 인용수 순위
1 Abbas, I.A. and Zenkour, A.M. (2014), "Dual-phase-lag model on thermoelastic interactions in a semi-infinite medium subjected to a ramp-type heating", J. Comput. Theor. Nanosci., 11(3), 642-645.   DOI
2 Abouelregal, A.E. and Zenkour, A.M. (2014), "Effect of phase lags on thermoelastic functionally graded microbeams subjected to ramp-type heating", IJST, Trans. Mech. Eng., 38, 321-335.
3 Akbas, S.D. (2016), "Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium", Smart Struct. Syst., 18(6), 1125-1143.   DOI
4 Allameh, S.M. (2003), "An introduction to mechanical-propertiesrelated issues in MEMS structures", J. Mater. Sci., 38(20), 4115-4123.   DOI
5 Arefi, M. and Zenkour, A.M. (2017a), "Size-dependent vibration and bending analyses of the piezomagnetic three-layer nanobeams", Appl. Phys. A, 123, 202 (13 pages).
6 Arefi, M. and Zenkour, A.M. (2017b), "Transient analysis of a three-layer microbeam subjected to electric potential", Int. J. Smart Nano Mater., 8(1), 20-40.   DOI
7 Arefi, M. and Zenkour, A.M. (2017c), "Wave propagation analysis of a functionally graded magneto-electro-elastic nanobeam rest on Visco-Pasternak foundation", Mech. Res. Commun., 79, 51-62.   DOI
8 Barretta, R., Feo, L., Luciano, R. and de Sciarra, F.M. (2016), "Application of an enhanced version of the Eringen differential model to nanotechnology", Compos, B, 96, 274-280.   DOI
9 Berman, R. (1953), "The thermal conductivity of dielectric solids at low temperatures", Adv. Phys., 2(5), 103-140.   DOI
10 Ebrahimi, F. and Salari, E. (2015a), "Effect of various thermal loadings on buckling and vibrational characteristics of nonlocal temperature-dependent FG nanobeams", 23(12), Mech. Adv. Mater. Struct., 1-58.
11 Ebrahimi, F. and Salari, E. (2015b), "Nonlocal thermo-mechanical vibration analysis of functionally graded nanobeams in thermal environment", Acta Astron., 113, 29-50.   DOI
12 Ebrahimi, F. and Salari, E. (2015c), "Thermo-mechanical vibration analysis of nonlocal temperature-dependent FG nanobeams with various boundary conditions", Compos. B, 78, 272-290.   DOI
13 Ebrahimi, F. and Shafiei, N. (2016), "Application of Eringen's nonlocal elasticity theory for vibration analysis of rotating functionally graded nanobeams", Smart Struct. Syst., 17(5), 837-857.   DOI
14 Ebrahimi, F. and Shaghaghi, G.R. (2016), "Thermal effects on nonlocal vibrational characteristics of nanobeams with nonideal boundary conditions", Smart Struct. Syst., 18(6), 1087-1109.   DOI
15 Ebrahimi, F., Ghadiri, M., Salari, E., Hoseini, S.A.H., Shaghaghi, G.R. (2015a), "Application of the differential transformation method for nonlocal vibration analysis of functionally graded nanobeams", J. Mech. Sci. Tech., 29, 1207-1215.   DOI
16 Ebrahimi, F., Salari, E. and Hosseini, S.A.H. (2015b), "Thermomechanical vibration behavior of FG nanobeams subjected to linear and non-linear temperature distributions", J. Therm. Stresses, 38(12), 1360-1386.   DOI
17 Eringen, A.C. (1972), "Nonlocal polar elastic continua", Int. J. Eng. Sci., 10(1), 1-16.   DOI
18 Eringen, A.C. (1983), "On differential equations of nonlocal elasticity, solutions of screw dislocation, surface waves", J. Appl. Phys., 54(9), 4703-4710.   DOI
19 Eringen, A.C. (2002), "Nonlocal Continuum Field Theories", New York: Springer.
20 Ezzat, M.A., El-Bary, A.A. (2016), "Modeling of fractional magneto-thermoelasticity for a perfect conducting materials", Smart Struct. Syst., 18(4), 707-731.   DOI
21 Ghafarian, M. and Ariaei, A. (2016) "Free vibration analysis of a multiple rotating nano-beams system based on the Eringen nonlocal elasticity theory", J. Appl. Phys., 120(5), 054301.   DOI
22 Lord, H.W. and Shulman, Y. (1967), "A generalized dynamical theory of thermoelasticity", J. Mech. Phys. Solid, 15(5), 299-309.   DOI
23 Noda, N. (1991), "Thermal stresses in materials with temperature dependent properties", Appl. Mech. Rev., 44(9), 383-397.   DOI
24 Ozisik, M.N. and Tzou, D.Y. (1994), "On the wave theory of heat conduction", J. Heat Transf., 116(3), 526-535.   DOI
25 Radebe, I.S. and Adali, S. (2015), "Static and sensitivity analysis of nonlocal nanobeams subject to load and material uncertainties by convex modeling", J. Theor. Appl. Mech., 53(2), 345-356.
26 Sharma, J.N. and Kaur, R. (2015), "Response of anisotropic thermoelastic micro-beam resonators under dynamic loads", Appl. Math. Model., 39(10-11), 2929-2941.   DOI
27 Thai, H-T. (2012), "A nonlocal beam theory for bending, buckling, and vibration of nanobeams", Int. J. Eng. Sci., 52, 56-64.   DOI
28 Tzou, D.Y. (1995a), "A unified approach for heat conduction from macro-to micro-scales", J. Heat Transfer, 117(1), 8-16.   DOI
29 Tzou, D.Y. (1995b), "Experimental support for the Lagging behavior in heat propagation", J. Thermophys. Heat Transfer, 9(4), 686-693.   DOI
30 Tzou, D.Y. (1996), "Macro-to microscale heat transfer: the Lagging behavior", Washington, DC, Taylor & Francis.
31 Uma, S., McConnell, A.D., Asheghi, M., Kurabayashi, K. and Goodson, K.E. (2001), "Temperature-dependent thermal conductivity of undoped polycrystalline silicon layers", Int. J. Thermophys., 22(2), 605-616.   DOI
32 Yanping, B. and Yilong, H. (2010), "Static deflection analysis of micro-cantilevers beam under transverse loading", Recent Researches in Circuits, Systems, Electronics, Control and Signal Processing, 17-21.
33 Younis, M.I. (2011), "MEMS Linear and Non-linear Statics and Dynamics", New York, Springer.
34 Zenkour, A.M. and Abouelregal, A.E. (2014), "The effect of two temperatures on a FG nanobeam induced by a sinusoidal pulse heating", Struct. Eng. Mech., 51(2), 199-214.   DOI
35 Zenkour, A.M. and Abouelregal, A.E. (2015), "Effects of phaselags in a thermoviscoelastic orthotropic continuum with a cylindrical hole and variable thermal conductivity", Arch. Mech., 67(6), 457-475.
36 Zenkour, A.M., (2016), "Two-dimensional coupled solution for thermoelastic beams via generalized dual-phase-lags model", Math. Model. Anal., 21(3), 319-335.   DOI
37 Zenkour, A.M., Mashat, D.S. and 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 Mech. Solida Sin., 26(6), 659-670.   DOI
38 Zhang, Y.Q., Liu, G.R. and Xie, X.Y. (2005), "Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity", Phys. Rev. B, 71, 195404.   DOI