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Kidawa-Kukla, J. (2003) Application of the Green Functions to the Problem of the Thermally Induced Vibration of a Beam. Journal of Sound and Vibration, 262, 865-876.
http://dx.doi.org/10.1016/S0022-460X(02)01133-1

has been cited by the following article:

• TITLE: Vibration of Gold Nano-Beam with Variable Young’s Modulus Due to Thermal Shock

  AUTHORS: Eman A. N. Al-Lehaibi, Hamdy M. Youssef

  KEYWORDS: Thermoelasticity, Euler-Bernoulli Equation, Goldnano-Beam, Young’s Modulus

  JOURNAL NAME: World Journal of Nano Science and Engineering, Vol.5 No.4, December 24, 2015

  ABSTRACT: In this paper, we will study the most important effects in the nano-scale resonator: the coupling effect of temperature and strain rate, and the non-Fourier effect in heat conduction. A solution for the generalized thermoelastic vibration of nano-resonator induced by thermal loading has been developed. The Young’s modulus is taken as a linear function of the reference temperature. The effects of the thermal loading and the reference temperature in all the studied fields have been studied and represented in graphs with some comparisons. The Young’s modulus makes significant effects on all the studied fields where the values of the temperature, the vibration of the deflection, stress, displacement, strain, stress-strain energy increase when the Young’s modulus has taken to be variable.