2D problem of magneto-thermoelasticity fiber-reinforced medium under temperature dependent properties with three-phase-lag model

The aim of the present work is to investigate the influence of magnetic field on wave propagation within a fiber-reinforced medium under the three-phase-lag theory and Green–Naghdi theory without energy dissipation. The modulus of the elasticity is given as a linear function of the reference temperature. The exact expression for the displacement components, temperature, and stress components are obtained by using normal mode analysis. Numerical results for the field quantities are given in the physical domain and illustrated graphically in the absence and presence of magnetic field. Comparisons are made between the results for the two different theories with and without temperature dependent properties as well as reinforcement. The results are a valuable contribution to the problem of practical design of such structures, for example to design stiffness, damping and so on into the right place of a structure by selecting the appropriate material properties.