Abstract
Different subjective developments of the multi-time-derivative (single/dual/triple)-phase-lag heat formulae have been examined in this paper. A unified theory of coupled photo-thermoelasticity is defined to investigate both delay phase-lag times of the temperature gradient and the heat flux as well as the third delay phase-lag time of the thermal displacement gradient. Some unique issues that contain a lot of formulae have been considered to manage all the thoughts about models in the literature. The straightforward and refined Tzou’s multi-time-derivative (single/dual/triple)-phase-lag, Lord–Shulman, Green–Lindsay, and classical theories are all investigated. Moreover, Green–Naghdi of type II, as well as type III models of generalized thermoelasticity with and without energy dissipation, have been attained in simple and modified formulations.
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