Abstract
The aim of the present contribution is the determination of the thermoelastic temperatures, stress, displacement, and strain in an infinite isotropic elastic body with a spherical cavity in the context of the mechanism of the two-temperature generalized thermoelasticity theory (2TT). The two-temperature Lord–Shulman (2TLS) model and two-temperature dual-phase-lag (2TDP) model of thermoelasticity are combined into a unified formulation with unified parameters. The medium is assumed to be initially quiescent. The basic equations are written in the form of a vector matrix differential equation in the Laplace transform domain, which is then solved by the state-space approach. The expressions for the conductive temperature and elongation are obtained at small times. The numerical inversion of the transformed solutions is carried out by using the Fourier-series expansion technique. A comparative study is performed for the thermoelastic stresses, conductive temperature, thermodynamic temperature, displacement, and elongation computed by using the Lord–Shulman and dual-phase-lag models.
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Translated from PrikladnayaMekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 4, pp. 91–106, July–August, 2016.
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Karmakar, R., Sur, A. & Kanoria, M. Generalized thermoelastic problem of an infinite body with a spherical cavity under dual-phase-lags. J Appl Mech Tech Phy 57, 652–665 (2016). https://doi.org/10.1134/S002189441604009X
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DOI: https://doi.org/10.1134/S002189441604009X