Journal of Computational Design and Engineering, 2021, 8(1), 15–35 doi: 10.1093/jcde/qwaa082 Journal homepage: www.jcde.org Advance Access Publication Date: 7 January 2021 REVIEW ARTICLE Recent advances in generalized thermoelasticity theory and the modified models: a review Farshad Shakeriaski 1 , Maryam Ghodrat 2, *, Juan Escobedo-Diaz 2 and Masud Behnia 3 1 Department of Mechanical Engineering, Shahid Bahonar University of Kerman,, Kerman, Iran; 2 School of Engineering and Information Technology, University of New South Wales Canberra,, Canberra, ACT 2610, Australia and 3 Macquarie Business School, Macquarie University, North Ryde, NSW 2109, Australia *Corresponding author. E-mail: [email protected] http://orcid.org/0000-0003-4009-5262 Abstract A review of the recent studies on the generalized thermoelasticity theories and their associated modified models is presented. The aim is to outline an overview of the utilization and physical limitations of available relevant theories. By contrast to classical thermoelasticity theory, generalized thermoelasticity theories (second sound) can involve a hyperbolic-form transport correlation and are motivated by experiments illustrating more accurately of the wave-form heat transfer (second sound). Many researchers have formulated such theories on different fields and analyzed various problems, presenting characteristic properties of these theories. This paper expresses a self-included bibliographical review of previous documents in the area of the second sound. The general structure of this review contains theories, formulations, real limitations, and used solution techniques of the equations for different geometries and loadings. Given that the classical theory is feeble in simulating the temperature distribution, especially in the structures under a sudden thermal shock, this review may be a useful tool for researchers who work in sensitive industries such as steam turbines, micro-temperature sensors, and lithium battery manufacturing. Keywords: review; generalized thermoelasticity theories; second sound propagation; physical behaviors; thermoelastic medium List of Acronyms CM: Computational method DPL: Dual-phase lag DQM: Differential quadrature method FEM: Finite element method FGM: Functionally graded material FGT: Faedo–Galerkin technique FVM: Finite value method GFD: Generalized finite difference method GDQ: Generalized differential quadrature GFEM: Galerkin finite element method GL: Green–Lindsay GN: Green–Naghdi ITM: Integral transform method LW-DQM: Layerwise differential quadrature method LS: Lord–Shulman MSM: Multiple-scale method NILT: Numerical inverse Laplace transform NMA: Normal mode analysis NRM: Newton–Raphson method PDE: Partial differential equations Received: 16 August 2020; Revised: 5 November 2020; Accepted: 6 November 2020 C The Author(s) 2021. Published by Oxford University Press on behalf of the Society for Computational Design and Engineering. This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact [email protected] 15 Downloaded from https://academic.oup.com/jcde/article/8/1/15/6067653 by Macquarie University user on 13 May 2021
Recent advances in generalized thermoelasticity theory and the modified models: a review
Jun 29, 2023
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