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

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 demonstratedthatthe constitutiverelation inthe integerorder 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 magnetothermoelastic 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.