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Machine learning-enhanced heat and mass transfer study of elliptic motion in piezoelectric thermoelastic plates using Green-Naghdi III and three-phase-lag theories

Publication Type : Journal Article

Publisher : Elsevier BV

Source : International Communications in Heat and Mass Transfer

Url : https://doi.org/10.1016/j.icheatmasstransfer.2026.110482

Keywords : Computational mechanics, Elliptic motion energy wave, Green–Naghdi III, Three-phase-lag theory, Piezoelectric thermoelasticity, Heat and mass transfer, Machine learning, Confusion matrix, Attenuation and phase velocity, Multiphysics simulation

Campus : Mysuru

School : School of Physical Sciences

Department : Department of Sciences

Year : 2026

Abstract : Rayleigh-type surface waves in piezoelectric (PE) solids are pivotal for acoustic sensors, microelectromechanical systems (MEMS), and non-destructive evaluation. However, classical thermoelastic models fail under high heat flux due to the assumption of infinite thermal signal speeds, which limits their accuracy in coupled thermo-mechanical systems. To capture finite-speed and memory-dependent thermal effects, the Rayleigh wave propagation in a transversely isotropic (TI) PE half-space using generalized theories (such as Green-Naghdi type III (GN-III) and three-phase-lag (TPL)) is studied in this paper. The analytical formulation under varied electrical and thermal boundary conditions has been obtained. Secular equations are derived to characterize phase velocity, attenuation, and specific energy loss. A regression-based machine learning (ML) surrogate model is trained by using an analytical dataset to provide rapid predictions of wave parameters. Additionally, a confusion matrix classifier is applied to identify boundary conditions from simulated wave response features. The results demonstrated that the phase velocity increases with inclination angle and stabilizes with wave number, whereas attenuation and specific loss vary strongly by boundary condition (e.g., minimal in shorted-isothermal cases). The ML surrogate successfully reconstructed analytical predictions with minimal residual error, and the confusion matrix demonstrates accurate classification performance and validates the diagnostic potential of the framework. The novelty of this paper lies in integrating dual thermoelastic theories with machine learning, merging mechanics, heat transfer, and intelligent computing. These findings enable enhanced SAW sensor designs for precise gas/chemical detection, low-loss NDE tools for aerospace composite defect identification, and real-time diagnostics in biomedical ultrasonics for clearer imaging and efficient energy harvesting.

Cite this Research Publication : Abhinav Singhal, Seema, Abdulkafi Mohammed Saeed, Sonal Nirwal, Soumik Das, Anjali Chaudhary, Machine learning-enhanced heat and mass transfer study of elliptic motion in piezoelectric thermoelastic plates using Green-Naghdi III and three-phase-lag theories, International Communications in Heat and Mass Transfer, Elsevier BV, 2026, https://doi.org/10.1016/j.icheatmasstransfer.2026.110482

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