Response of Non-Local and Phase-Lags due to Ramp-Type Loading in Modified Couple Stress Thermoelastic with Mass Diffusion

A new mathematical model of modified couple stress thermoelastic (MCT) diffusion is constructed where non-local and dual-phase-lag effects are considered. These impacts are analyzed due to thermomechanical loading. Governing equations are simplified by using Laplace and Fourier transform techniques. Normal and thermal loading of ramp-type are taken into account to demonstrate the application. Numerical results are calculated for displacements, stresses, temperature change and chemical potential and are disucussed by displaying graphically. Particular cases are also deduced.

Automated summary

A new mathematical model for studying modified couple stress thermoelastic diffusion, taking into account non-local and dual-phase-lag effects, has been constructed. The governing equations were simplified using Laplace and Fourier transform techniques, with numerical results presented for displacements, stresses, temperature change, and chemical potential, and discussed graphically. Special cases were also derived from the model.