The propagation of axisymmetric guided waves in cylindrical rods based on fractional order thermo-visco-elastic model

Abstract

The dispersion and attenuation of axisymmetric guided waves in cylindrical rod are studied with microstructure effects on the mechanical and thermal behavior considered simultaneously. The non-local strain gradient elasticity is used to model the microstructure effects on the mechanical behavior. The fractional order derivative is used to model the history-dependent viscoelasticity and thermal conduction. The nonlocal effects, the strain gradient effects, the non-Fourier heat conduction effects and the thermoelastic coupled effects on the axisymmetric torsional and longitudinal waves are explored based on the analytical formulation and the numerical examples. The investigation reveals that size effects have nonnegligible effects on the propagation of guided waves. The nonlocal and strain gradient effects influence mainly the dispersion while the non-Fourier heat conduction and viscoelasticity influence mainly on the attenuation feature.