Fractional-order Green–Naghdi type-II model for biothermoelastic interaction in living tissues using the eigenvalue approach

Abstract

This article examines the thermomechanical response of biological tissue to thermal loading under the modified fractional Green and Naghdi model, without energy dissipation, during hyperthermia. To employ thermal treatment strategies effectively, one must grasp the bioheat transfer processes and coupled biothermomechanical interactions within living tissue. The study considers the living tissue surface as traction-free and subjected to pulsed heat flux. The fractional Green-Naghdi model is solved using Laplace transform and an eigenvalue approach. An analytical framework is developed to solve the basic equations, and the associated temperature, displacement, and stress responses are presented and discussed. A parametric study is conducted to determine the optimal design parameter that enhance the effectiveness and precision of thermotherapy.