Size effects of specific heat and elastic modulus on thermoelastic damping of geometrically nonlinear beam

S Dixit and AK Gaonkar, INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 193, 106159 (2021).

DOI: 10.1016/j.ijmecsci.2020.106159

In this paper, the effect of surfaces on the thermoelastic damping (TED) of nanoresonators is studied. In addition to the classical surface elasticity, the concept of surface heat capacity is introduced to capture the size effects of both mechanical and thermal properties on the thermoelastic damping of small scale structures. The value of the newly introduced parameter, surface heat capacity, is determined by using a novel method based on molecular dynamic simulations. The coupled nonlinear governing equations for fixed-fixed nanoresonators are derived by considering mid-plane stretching, surface elasticity, and surface heat capacity. These coupled equations are then solved using a finite element framework and have been used to study thermoelastic damping in free vibration of a beam, beam under constant loading, and beam under electrostatic loading.

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