H. M. Youssef, “State-Space on Generalized thermoelasticity for an infinite Material with a Spherical Cavity and Variable Thermal conductivity Subjected to Ramp-Type Heating,” Journal of CAMQ, Applied Mathematics Institute, Vol. 13(4), 2005, pp. 369-390.

has been cited by the following article:

• TITLE: Vibration of Nano Beam Induced by Ramp Type Heating

  AUTHORS: Hamdy M. Youssef, Khaled A. Elsibai

  KEYWORDS: Thermoelasticity, Nano-Beam, Ramp-Type Heating, Non-Fourier Heat Conduction

  JOURNAL NAME: World Journal of Nano Science and Engineering, Vol.1 No.2, June 29, 2011

  ABSTRACT: The non-Fourier effect in heat conduction and the coupling effect between temperature and strain rate, became the most significant effects in the nano-scale beam. In the present study, a generalized solution for the generalized thermoelastic vibration of a bounded nano-beam resonator induced by ramp type of heating is developed and the solutions take into account the above two effects. The Laplace transforms and direct method are used to determine the lateral vibration, the temperature, the displacement, the stress and the energy of the beam. The effects of the relaxation time and the ramping time parameters have been studied with some comparisons.