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      KCI등재 SCIE SCOPUS

      The effect of two temperatures on a FG nanobeam induced by a sinusoidal pulse heating

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      https://www.riss.kr/link?id=A104818334

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      다국어 초록 (Multilingual Abstract)

      The present investigation is concerned with the effect of two temperatures on functionally graded (FG) nanobeams subjected to sinusoidal pulse heating sources. Material properties of the nanobeam are assumed to be graded in the thickness direction acc...

      The present investigation is concerned with the effect of two temperatures on functionally graded (FG) nanobeams subjected to sinusoidal pulse heating sources. Material properties of the nanobeam are assumed to be graded in the thickness direction according to a novel exponential distribution law in terms of the volume fractions of the metal and ceramic constituents. The upper surface of the FG nanobeam is fully ceramic whereas the lower surface is fully metal. The generalized two-temperature nonlocal theoryof thermoelasticity in the context of Lord and Shulman's (LS) model is used to solve this problem. The governing equations are solved in the Laplace transformation domain. The inversion of the Laplace transformation is computed numerically using a method based on Fourier series expansion technique. Somecomparisons have been shown to estimate the effects of the nonlocal parameter, the temperature discrepancy and the pulse width of the sinusoidal pulse. Additional results across the thickness of the nanobeam are presented graphically.

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      참고문헌 (Reference)

      1 Warren, W.E, "Wave propagation in the two temperature theory of thermoelasticity" 16 : 21-23, 1973

      2 Ching, H.K., "Transient thermoelastic deformations of 2-D functionally graded beams under nonuniformly convective heat supply" 73 : 381-393, 2006

      3 Biot, M., "Thermoelasticity and irreversible thermo-dynamics" 27 : 240-253, 1956

      4 Green, A.E., "Thermoelasticity" 2 : 1-7, 1972

      5 Boley, M., "Thermoelastic and irreversible thermo dynamics" 27 : 240-253, 1956

      6 Manolis, G.D., "Thermally induced vibrations of beam structures" 21 : 337-355, 1980

      7 Wang, Q., "The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes" 18 : 075702-, 2007

      8 Zenkour, A. M., "Steady-state thermoelastic analysis of a functionally graded rotating annular disk" 6 : 1-16, 2006

      9 Zenkour, A.M., "State-space approach for an infinite medium with a spherical cavity based upon two-temperature generalized thermoelasticity theory and fractional heat conduction" 65 (65): 149-164, 2014

      10 Malekzadeh, P, "Response of functionally graded cylindrical shells under moving thermo-mechanical loads" 58 : 51-66, 2012

      1 Warren, W.E, "Wave propagation in the two temperature theory of thermoelasticity" 16 : 21-23, 1973

      2 Ching, H.K., "Transient thermoelastic deformations of 2-D functionally graded beams under nonuniformly convective heat supply" 73 : 381-393, 2006

      3 Biot, M., "Thermoelasticity and irreversible thermo-dynamics" 27 : 240-253, 1956

      4 Green, A.E., "Thermoelasticity" 2 : 1-7, 1972

      5 Boley, M., "Thermoelastic and irreversible thermo dynamics" 27 : 240-253, 1956

      6 Manolis, G.D., "Thermally induced vibrations of beam structures" 21 : 337-355, 1980

      7 Wang, Q., "The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes" 18 : 075702-, 2007

      8 Zenkour, A. M., "Steady-state thermoelastic analysis of a functionally graded rotating annular disk" 6 : 1-16, 2006

      9 Zenkour, A.M., "State-space approach for an infinite medium with a spherical cavity based upon two-temperature generalized thermoelasticity theory and fractional heat conduction" 65 (65): 149-164, 2014

      10 Malekzadeh, P, "Response of functionally graded cylindrical shells under moving thermo-mechanical loads" 58 : 51-66, 2012

      11 Chen, P. J., "On the thermodynamics of non-simple Elastic material with two temperatures" 20 : 107-112, 1969

      12 Zenkour, A. M., "On the magneto-thermo-elastic responses of FG annular sandwich disks" 75 : 54-66, 2014

      13 Eringen, A.C., "On nonlocal elasticity" 10 : 233-248, 1972

      14 Quintanilla, R., "On existence, structural stability, convergence and spatial behavior in thermoelastic with two temperature" 168 : 161-173, 2004

      15 Eringen, A. C., "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves" 54 : 4703-4710, 1983

      16 Chen, P.J., "On a theory of heat conduction involving two temperatures" 19 : 614-627, 1968

      17 Eringen, A. C., "Nonlocal polar elastic continua" 10 : 1-16, 1972

      18 Tzou, D., "Macro-to-Micro Heat Transfer" Taylor & Francis 1996

      19 Abbas, I.A., "LS model on electro-magneto-thermo elastic response of an infinite functionally graded cylinder" 96 : 89-96, 2013

      20 Malekzadeh, P., "Heat transfer analysis of functionally graded hollow cylinders subjected to an axisymmetric moving boundary heat flux" 61 (61): 614-632, 2012

      21 Quintanilla, R., "Exponential stability and uniqueness in thermoelasticity with two temperatures" 11 : 57-68, 2004

      22 Malekzadeh, P., "Dynamic response of functionally graded beams under moving heat source" 20 (20): 803-814, 2014

      23 Al-Huniti, N. S., "Dynamic response of a rod due to a moving heat source under the hyperbolic heat conduction model" 242 : 629-640, 2001

      24 Boley, B. A., "Approximate analyses of thermally induced vibrations of beams and plates" 39 : 212-216, 1972

      25 Kidawa-Kukla, J., "Application of the Green functions to the problem of the thermally induced vibration of a beam" 262 : 865-876, 2003

      26 Mareishi, S., "An analytical study on thermally induced vibration analysis of FG beams using different HSDTs" 249-250 : 784-791, 2013

      27 Lord, H.W, "A generalized dynamical theory of thermoelasticity" 15 : 299-309, 1967

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