[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2014.51.2.199

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

Zenkour, Ashraf M. (Department of Mathematics, Faculty of Science, King Abdulaziz University)
Abouelregal, Ahmed E. (Department of Mathematics, Faculty of Science, Mansoura University)

Publication Information

Structural Engineering and Mechanics / v.51, no.2, 2014 , pp. 199-214 More about this Journal

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 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 theory of 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. Some comparisons 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.

Keywords

thermoelasticity; two temperatures; FG nanobeam; nonlocal theory; sinusoidal pulse;

Citations & Related Records

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