We consider a one-dimensional body in the framework of the linear theory of thermo-electroviscoelasticity of Green-Naghdi type, which was introduced in [1]. This model presents practical applications, since in biomechanics, a tissue constituent is usually analyzed from the point of view of the uniaxial behaviour, see for example [2], [3]. The Green-Naghdi theory is based on an entropy balance law rather than an entropy inequality, see [4]. The linearized form of this theory leads to three di erent models of heat conduction. The Green-Naghdi linear model of type III implies the transmission of heat as thermal waves at nite speed, as compared with Fourier's law. Our mathematical model consists of a system of integro-di erential equations with initial and boundary conditions. With an appropriate form of the constitutive equations, we prove a uniqueness theorem for the solution to the mixed boundary-initial-value problem by using the Laplace transform. Finally, we present a result of continuous dependence upon the supply terms. This is a joint work with Professor M. Marin (from Transilvania University of Brasov) and with Professor A. Montanaro (from the University of Padua, Italy). Bibliography [1] Montanaro, A.: On thermo-electro-viscoelastic relaxation functions in a Green-Naghdi type theory. J. Therm. Stress. 43(10), 1205{1233 (2020) [2] Zeng, Y.: Large time behavior of solutions to nonlinear viscoelastic model with fading memory. Acta Math. Sci. 32B(1), 219{236 (2012) [3] Babaeia, B., Velasquez-Maob, A.J., Prysec, K.M., Mc-Connaugheyc,W.B., Elsonc, E.L., Genind, G.M.: Energy dissipation in quasi-linear viscoelastic tissues, cells, and extracellular matrix. J. Mech. Behav. Biomed. 84, 198{207 (2018) [4] Green, A.E., Naghdi, P.M.: On undamped heat waves in an elastic solid. J. Therm. Stress. 15, 253{264 (1992)