Generalized lagging response of thermoelastic beams
Summary: The vibrations of Euler-Bernoulli metal beam are accommodated in the present study by taking into account the possibility of activating the microstructural effects, captured by the temperature gradient phase lag, in the fast transient process captured by the heat flux phase lag. The thermal moment is approximated as the difference between the top and the bottom surface temperatures [\textit{C. V. Massalas} and \textit{V. K. Kalpakidis}, J. Sound Vib. 88, 425--429 (1983; Zbl 0546.73003)]. Three generalizations of the Biot model of thermomechanics are considered: Lord-Shulman, dual-phase-lag [\textit{D. Y. Tzou}, Macro- to microscale heat transfer: the lagging behavior. New York, NY: Taylor and Francis (1997)], and modified dual-phase-lag [the last author, ``On the generalized thermal lagging behavior: refined aspects'', J. Therm. Stresses 35, No. 4, 293--325 (2012)]. It is found that when the response time is shortened, the material dimensions are small, or when the method of heating is changed, the dual-phase-lag model records a significant decrease in the lattice variables. The spurious serrations of the classical thermoelastic wave are smoothed in the dual-phase-lag wave. The dual-phase-lag thermoelasticity is the closest macroscopic approach to the ultrafast model [\textit{J. K. Chen} et al., ``Thermomechanical response of metals heated by ultrashort-pulsed lasers'', J. Therm. Stresses 25, No. 6, 539--558 (2002)].
scientific article; zbMATH DE number 7017236
scientific article