Fractional Order Thermoelasticity for a Functionally Graded Thermoelastic Nanobeam Induced by a Sinusoidal Pulse Heating

摘要

In the past years, the theory of calculus with fractional order has been Used in the field of solid mechanics as well as in thermoelasticity. Several fractional order models for generalized thermoelasticity were established by several authors. But a few authors who studied the thermoelastic interactions in nanobeams under these models. In this work, a fractional order model is introduced and applied to investigate thermoelastic vibrations in a functionally graded nanobeams (FGN) due to a periodic heat flux. FGN can be considered as non-homogenous composite structures, with a continuous structural variation along the thickness of the beam usually it changes from ceramic at the bottom of the metal at the top. In addition to the above, the effect of some important parameters on the FGN such as nonlocal parameter, fractional order and periodic pulse was studied and discussed.