OICC Press Journal of Solid Mechanics 2008-7683 13 4 2021 09 30 Memory Response in Thermoelastic Plate with Three-Phase-Lag Model 366 383 EN S Biswas Department of Mathematics, University of North Bengal, Darjeeling-734013, India Journal Article 2021 09 30 In this article, using memory-dependent derivative (MDD) on three-phase-lag model of thermoelasticity, a new generalized model of thermoelasticity theory with time delay and kernel function is constructed. The governing coupled equations of the new generalized thermoelasticity with time delay and kernel function are applied to two dimensional problem of an isotropic plate. The two dimensional equations of generalized thermoelasticity with MDD are solved using state space approach. Numerical inversion method is employed for the inversion of Laplace and Fourier transforms. The displacements, temperature and stress components for different thermoelastic models are presented graphically and the effect of different kernel and time delay on the considered parameters are observed.