Generalized thermoelastic problem of an infinite body with a spherical cavity under dual-phase-lags

被引：0
作者：
R. Karmakar
A. Sur
M. Kanoria
机构：
[1] University of Calcutta,
来源：
Journal of Applied Mechanics and Technical Physics | 2016年 / 57卷
关键词：
two-temperature generalized thermoelasticity; dual-phase-lag model; state-space approach; vector–matrix differential equation;
D O I：
暂无
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学科分类号：
摘要：
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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页码：652 / 665
页数：13
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