Abstract This study examines the coupled thermomechanical behavior of viscoelastic porous tissue to advance the understanding of heating transfer mechanisms and their associated biothermomechanical effects during thermal treatment procedures. A bio-thermoelastic framework is developed, incorporating the Atangana–Baleanu fractional time derivatives model with one thermal relaxation parameter to capture the transient responses of viscoelastic tissue with voids. Analytical closed-form expressions for void volume fraction, displacement, temperature, and stress distributions are derived using an eigenvalues-based formulation in the Laplace transform domain. Numerical computations are conducted to evaluate the impact of the fractional parameter and the characteristic duration of a pulsed heat flux. The findings reveal significant discrepancies from predictions based on the classical Fourier model, underscoring the critical role of thermal relaxation in accurately describing transient bioheat behavior.
Alqahtani et al. (Tue,) studied this question.