Fractional viscoelastic model with a non-singular kernel for a rotating semiconductor circular cylinder permeated by a magnetic field and due to heat flow pulse heating

Abstract

To investigate the mechanical behavior of viscoelastic materials, a variety of linear and nonlinear constitutive models have been developed to characterize the viscoelastic deformation process. However, it has been demonstrated that the constitutive relation in the integer-order of stress–strain available in traditional viscoelastic models may fail in some cases and does not match justifications well. This work provides an innovative mathematical model for viscoelastic processes that is compatible with thermodynamic principles, including Caputo–Fabrizio fractional-order derivatives. In addition to the exponential form, the Caputo–Fabrizio kernel possesses a number of properties, including nonlocality and non-singularity. Additionally, by connecting thermoelasticity to photothermal processes, the photothermal action was considered for incorporation into a magneto-thermoelastic semiconductor material. The suggested model was used to evaluate the photothermal, thermal, and elastic waves in a rotating solid cylinder of viscoelastic semiconductor material. The surface of the viscoelastic cylinder was assumed to be fixed and exposed to a time-dependent pulsed heat flow. The physical fields were studied for their sensitivity to the angular velocity, phased delays, laser pulse length, and fractional parameters. The physical fields were studied in terms of their sensitivity to angular velocity, phase delays, laser pulse length, and fractional parameters.