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\begin{document}

\title{Establishing a memory-dependent photothermoelastic model according to
the dual phase lag model on a cylindrical body rotating in an initial
magnetic field}



\author[1]{Kadry  Zakaria}%
\author[1]{Magdy Sirwah}%
\author[2]{Ahmed Abouelregal}%
\author[1]{Ali Farouk Rashid}%
\affil[1]{Tanta University}%
\affil[2]{Mansoura University Faculty of Science}%


\vspace{-1em}



  
  \date{June 14, 2024}


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\begin{abstract}
This paper deals with the study of photothermoelastic interactions in an
isotropic homogeneous semiconductor solid, using a new model of
generalized thermoelectricity with a memory-dependent derivative of heat
conduction. The plasma and thermal effects study of semiconductor
structures include the simulation of a complex system using simultaneous
analysis of carrier density, thermal waves, and elastic wave equations.
On this topic, there are few research works that have been achieved. To
investigate the problem, Tzou's generalized theory is employed. The
governing equations of the system are derived based on the dual-phase
lag model (DPL) and the wave equation of coupled plasma. We examined the
transient response of a rotating solid cylinder subjected to the applied
magnetic field and a time-dependent heat flow under the new proposed
model. The analytical expressions for the investigated fields are
derived by using the Laplace transform process and the numerical results
are graphically previewed. A comparison of the numerical results is
provided for various models of thermoelasticity as well as the impact of
memory- dependent derivatives. The effects of rotation, time-delay and
the kernel function are also investigated%
\end{abstract}%



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