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Size-dependent strain gradient-based thermoelastic damping in micro-beams utilizing a generalized thermoelasticity theory

Borjalilou, V ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1142/S1758825119500078
  3. Publisher: World Scientific Publishing Co. Pte Ltd , 2019
  4. Abstract:
  5. The small-scale effects on the thermoelastic damping (TED) in Euler-Bernoulli micro-beams is investigated in this study. To this purpose, by utilizing the strain gradient theory (SGT) and the dual-phase-lag (DPL) heat conduction model, the coupled equations of motion and heat conduction are derived. By solving these equations simultaneously and using the Galerkin method, the real and imaginary parts of the frequency and the amount of TED in thin micro-beams are obtained. The results predicted by SGT are compared with those given by the modified couple stress theory (MCST) and the classical continuum theory. In addition, TED is calculated on the basis of energy dissipation approach which shows that the difference between the obtained results and those evaluated based on the frequency approach is negligible. Some numerical results are also presented in order to study the effects of different parameters of the micro-beams as well as the type of the boundary conditions on TED and the critical thickness; these parameters include the micro-beam height, its aspect ratio and type of the material. © 2019 World Scientific Publishing Europe Ltd
  6. Keywords:
  7. Micro-beams ; Small-size effect ; The dual-phase-lag heat conduction model ; The strain gradient theory ; Aspect ratio ; Continuum mechanics ; Damping ; Energy dissipation ; Equations of motion ; Galerkin methods ; Heat conduction ; Heat conduction models ; Micro beams ; Small-size effects ; Strain gradient theory ; Thermoelastic damping ; Thermoelasticity
  8. Source: International Journal of Applied Mechanics ; Volume 11, Issue 1 , 2019 ; 17588251 (ISSN)
  9. URL: https://www.worldscientific.com/doi/10.1142/S1758825119500078