Effect of the Concept of Memory-Dependent Derivatives on a Nanoscale Thermoelastic Micropolar Material Under Varying Pulsed Heating Flow

In this study, we introduce a novel extended model of a micropolar theory that combines a Dual-phase lag thermoelastic model (DPL) with a consistent focus on the idea of a memory-dependent derivative (MDD). An application of flexible micropolar material with homogeneous and isotropic properties under the influence of surface pulse laser heating is discussed based on the proposed model. The surface under consideration is traction-free and subject to a time-varying heat flow. The time-dependent derivatives in the governing equations were eliminated and solved analytically using the Laplace transform method. The numerical results of the physical quantities of the problem were obtained by employing the numerical Laplace inversion. The general distributions of the various thermophysical fields studied are determined. Finally, the numerical results were presented graphically and analyzed in detail. The fundamental solution is also proved to have some key features. As special cases, some previous studies have been covered.