A novel generalized thermoelasticity with higher-order time-derivatives and three-phase lags. Issue 4 (17th December 2019)

• Record Type: Journal Article
• Authors: Abouelregal, Ahmed E.
• Is Part Of: Multidiscipline modeling in materials and structures. Volume 16:Issue 4(2020)
• Page Start: 689
• Page End: 711
• Publication Date: 2019-12-17
• Subjects: Annular cylinder -- Higher order -- Modified thermoelasticity model -- Three-phase lags; Materials -- Mathematical models -- Periodicals; Engineering -- Mathematical models -- Periodicals; 620.11015118
• DOI: 10.1108/MMMS-07-2019-0138
• Languages: English
• ISSNs: 1573-6105

Abstract

Abstract : Purpose: In this work, a modified thermoelastic model of heat conduction, including higher order of time derivative, is constructed by extending the Roychoudhuri model (TPL) (Choudhuri, 2007). In this new model, Fourier's law of heat conduction is replaced by using Taylor series expansions, including three different phase lags for the heat flux, the thermal displacement and the temperature gradient. The generalized thermoelasticity models of Lord–Shulman (Lord and Shulman, 1967), Green and Naghdi (1991), dual-phase lag (Tzou, 1996) and three-phase lag (TPL) (Choudhuri, 2007) are obtained as special cases. The paper aims to discuss these issues. Design/methodology/approach: The aim of this work is to establish a new generalized mathematical model of thermoelasticity that includes TPL in the vector of heat flux, and in the thermal displacement and temperature gradients extending TPL model (Li et al., 2019e). In this model, Fourier law of heat conduction is replaced by using Taylor series expansions to a modification of the Fourier law with introducing three different phase lags for the heat flux vector, the temperature gradient, and the thermal displacement gradient and keeping terms up with suitable higher orders. Findings: The established high-order three-phase-lag heat conduction model reduces to the previous models of thermoelasticity as special cases. Originality/value: In this paper, a TPL thermoelastic model is developed by extending the Roychoudhuri (Sherief and Raslan, 2017) model (TPL) considering the Taylor series approximation of the equation of heat conduction. This model is an alternative construction to the TPL model. The new model includes high order of TPL in the vector of heat flux, and in the thermal displacement and temperature gradients.