International Journal For Multidisciplinary Research

E-ISSN: 2582-2160   •   Impact Factor: 9.24

A Widely Indexed Open Access Peer Reviewed Multidisciplinary Bi-monthly Scholarly International Journal

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Volume 8 Issue 2
March-April 2026

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Generalized Thermoelasticity in Modern Engineering: Trends in Dynamic Multi-Field Modeling

Author(s) Dr. Kiran Bala
Country India
Abstract The rapid advancement of high-precision engineering and micro-scale technologies necessitates a transition from classical thermal theories to generalized frameworks that account for finite heat propagation speeds. This review explores the paradigm of Generalized Thermoelasticity within the context of Dynamic Multi-Field Modeling, specifically examining the interplay between rotational dynamics and two-temperature thermal responses. Historically, classical models—grounded in the works of Duhamel and Neumann—suffered from the paradox of infinite heat velocity. Modern components, such as aerospace turbines and high-frequency resonators, operate under extreme rotational speeds and thermal gradients, requiring the hyperbolic models of Lord-Shulman (L-S) and Green-Naghdi (G-N). A central emphasis is placed on the "Two-Temperature" parameter (a*), which distinguishes between conductive and thermodynamic temperatures to accurately predict material behavior under ultra-short thermal loading. Through a comparative analysis of wave speeds and reflection coefficients in high-conductivity media like Copper, this paper identifies critical modeling challenges and trends in energy partitioning at material boundaries. The results demonstrate that incorporating rotational parameters and two-temperature effects is essential for predicting material fatigue and performance in rotating, heat-sensitive engineering systems. This study provides a comprehensive roadmap for the evolution of thermoelasticity from a static theory to a dynamic, multi-field engineering necessity.
Keywords Generalized thermoelasticity, Modelling, Engineering Systems
Field Mathematics
Published In Volume 8, Issue 2, March-April 2026
Published On 2026-04-03
DOI https://doi.org/10.36948/ijfmr.2026.v08i02.73261
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E-ISSN 2582-2160
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