Transient Finite-Speed Heat Transfer Influence on Deformation of a Nanoplate with Ultrafast Circular Ring Heating

The present study provides a theoretical estimate for the thermal stress distribution and displacement vector inside nano-thick infinite plate due to an exponentially temporal decaying boundary heating on front surface of elastic plate. is in form circular ring; therefore, axisymmetric formulation adopted. Three different hyperbolic models transport are considered: Maxwell-Cattaneo-Vernotte (MCV), Dual-Phase-Lag (HDPL) modified (MHDPL), which coincides with two-step model under certain constraints. A focus directed main features corresponding thermoelastic models, e.g., finite-speed waves, singular surfaces (wave fronts) wave reflection rear Explicit expressions mechanical speeds derived discussed. Exact solution temperature short-time domain when thermalization time very long. temperature, hydrostatic represented space-time domain, concentrating attention phenomenon thermally insulated surface. We find that approximately equal considered while entirely such dual-phase-lag thermoelasticity has faster speed Lord-Shulman slower speed.