Analytical solutions of thermomechanical interaction in living tissues under dual phase-lag model

This article aims to employ an analytical approach to analyze the thermal and mechanical responses of biological tissues due to instant heating, considering the dual phase-lag (DPL) model. To effectively carry out thermal treatment procedures, it is imperative to have a deep understanding of both the mechanism of heat transmission and the resulting thermomechanical interactions within the patient’s human tissues. The governing formulations of this extended bio-thermoelastic model are established using analytical methods and Laplace transforms. The eigenvalue approach is then employed to obtain solutions to these formulations. The results for temperature, displacement and stresses are presented graphically. A comparative analysis has been conducted between two bioheat transfer models: the DPL and the Pennes bioheat (Pennes) models.