Investigation on the microscale memory dependence effect of thermo-viscoelastic rod based on fractional strain theory

Abstract

Based on fractional strain theory and considering microscale memory dependent effect, the transient response of a one-dimensional micro-nano-structured viscoelastic rotating rod under the action of a moving heat source is investigated in the paper. The rod is placed in a magnetic field of constant strength and its outer surface is unconstrained. The effects of the kernel function, time lag factor, fractional order strain parameter, rotational parameter, visco-thermoelastic relaxation time, and nonlocal parameter on the distribution of the physical field in the rod are obtained by solving the governing equations through the Laplace integral transform and its numerical inverse transform. The results show that the fractional strain parameters and rotational angular velocity have little effect on the dimensionless temperature, but have significant effects on the dimensionless displacement, stress, and strain. The kernel function, time delay factor, viscoelastic relaxation time, and nonlocal parameter have different degrees effects on temperature, displacement, stress, and strain.