Thermoelastic responses of biological tissue under thermal shock based on three phase lag model

Abstract

The paper dealt with the thermoelastic responses of biological tissues subjected to an abrupt input of temperature load in the context of generalized thermoelasticity with three phase lag times. A modified thermoelastic model with three phase lag times was proposed to resolve the discrepancy between the three-phase-lag thermoelastic model and existing models in propagation of thermal wave. The Laplace transform and numerical inverse transform methods were applied to acquire the distributions of temperature, displacement and stresses. The effects of rate of thermal conductivity, phase lag times and rate of blood perfusion on thermoelastic behaviors were discussed specifically. The rate of thermal conductivity plays a crucial role in determining the propagation speed of thermal wave in the framework of Three-Phase-Lag (TPL) or Green-Naghdi (G-N) thermoelasticity.