Memory-dependent derivatives effect on waves in a micropolar generalized thermoelastic plate including three-phase-lag model

In the present work, a new model has been framed for the mathematical investigation of micropolar generalized thermoelastic plate with three-phase-lag (TPL) model under memory-dependent derivatives (MDD). The new mathematical model has been simplified by using dimensionless quantities and solved by normal mode analysis. The dispersion equations for both symmetric and antisymmetric modes of propagation have been deduced for stress free boundaries of the plate. Phase velocity is plotted in the form of graphs for different modes of wave propagation with and without MDD response in the case of symmetric and antisymmetric modes involving TPL model. The amplitudes of displacements, micro-rotation and temperature distributions are obtained and presented graphically for the Lord and Shulman (LS), dual-phase-lag and TPL models. The time delay parameter and kernel function are selected arbitrarily according to the necessity of the application in numerical computation and MATLAB programmes have been developed for further investigation. (author)