Abstract
This article deals with the thermo-viscoelastic interaction in a two-dimensional homogeneous, isotropic, infinite space subjected to an instantaneous heat source. The problem is considered in the domain of dual-phase-lag (DPL) model of generalized thermo-viscoelasticity with memory-dependent derivative (MDD). The joint Laplace–Fourier transform is used as mathematical tool to obtain vector matrix differential equation and it is then solved by utilizing eigenvalue approach. Numerical estimation of displacements, stresses, and temperature are figured for a certain material by utilizing Bellman method and Gaussian quadrature formula. At last, the impact of space variable, time, kernel function, time-delay, and phase-lag parameters on the thermophysical quantities is analyzed graphically.
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