Nonlocal dual-phase-lag Cattaneo-type thermoelastic diffusion theory and its application in 1D transient dynamic responses analysis for copper-metallic layered structure

To accurately predict transient thermoelastic diffusion responses of the metallic solids in nanoscale heating condition, this work aims to establish a nonlocal dual-phase-lag Cattaneo-type thermoelastic diffusion theory by simultaneously consider the nonlocal effects of elastic deformation, heat and mass transport with the aid of Eringen’s nonlocal continuum mechanics. The proposed model is applied to investigate 1D transient dynamic response for copper-metallic layered structure by using eigenvalue approach. The influences of nonlocal characteristic lengths on the structural dynamic responses and wave propagations are evaluated and discussed.