Wave propagation analysis of a magneto-thermoelastic double-porosity medium incorporating the Thomson effect under dual-phase-lag model

Purpose This study aims to present an analytical–numerical investigation of wave propagation in a magneto-thermoelastic double-porosity medium within the framework of the dual-phase-lag (DPL) heat conduction model, incorporating the Thomson effect. Design/methodology/approach The governing equations are formulated and solved using the normal mode technique to obtain analytical expressions for the principal physical fields. Numerical simulations for copper are performed to examine the influence of the Thomson parameter, relaxation times and time on temperature, displacement, stress and concentration distributions. Findings The principal conclusion is that the Thomson effect and DPL heat conduction have a pronounced impact on wave propagation in magneto-thermo-elastic double-porosity media, leading to reduced amplitudes, altered wave speeds and different thermo-mechanical responses compared with traditional generalized thermo-elastic theories. The DPL framework offers a more realistic model for materials exhibiting microstructural heat-transfer delays and coupled thermal–mechanical–magnetic interactions. Originality/value The results show noticeable variations in the amplitudes and propagation behavior of the physical quantities under different parameter values, highlighting the strong coupling between thermal, mechanical and diffusive effects. A comprehensive quantitative evaluation, including numerical values, is presented in the numerical analysis section.