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A Non‐Local Thermoelastic Plate With Voids Embedded Between Two Similar Elastic Layers.

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Title: A Non‐Local Thermoelastic Plate With Voids Embedded Between Two Similar Elastic Layers.
Authors: Ailawalia, Praveen1 (AUTHOR) praveen_2117@rediffmail.com
Source: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. Jun2026, Vol. 106 Issue 6, p1-17. 17p.
Subjects: Thermoelasticity, Multilayers, Nanoscience, Resonance, Mechanical behavior of materials
Abstract: The problem is related to the analysis of a non‐local thermoelastic plate with voids embedded between two similar elastic layers. An internal heat source of magnitude Q0$Q_0$ is moving in the thermoelastic plate with velocity V$V$. The equations of motion are solved, and the expressions of displacement, stress, temperature distribution, and volume field are derived. The results are then complemented with a numerical example to show the variation of the non‐local parameter through graphical representations. The graphical results are also obtained for different values of moving heat source velocity, particularly comparing it with longitudinal wave velocity. A distinctive feature of this work lies in the consideration of an internal heat source of constant magnitude Q0$Q_0$ traveling with velocity V$V$, enabling the analysis of wave–thermal interactions under non‐stationary conditions. Unlike classical models, the inclusion of the non‐local parameter captures size‐dependent effects, which become significant at micro‐ and nano‐scales. The influence of the moving heat source velocity is systematically examined, particularly in relation to the longitudinal wave speed, revealing critical insights into resonance‐like behavior and wave modulation characteristics. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:The problem is related to the analysis of a non‐local thermoelastic plate with voids embedded between two similar elastic layers. An internal heat source of magnitude Q0$Q_0$ is moving in the thermoelastic plate with velocity V$V$. The equations of motion are solved, and the expressions of displacement, stress, temperature distribution, and volume field are derived. The results are then complemented with a numerical example to show the variation of the non‐local parameter through graphical representations. The graphical results are also obtained for different values of moving heat source velocity, particularly comparing it with longitudinal wave velocity. A distinctive feature of this work lies in the consideration of an internal heat source of constant magnitude Q0$Q_0$ traveling with velocity V$V$, enabling the analysis of wave–thermal interactions under non‐stationary conditions. Unlike classical models, the inclusion of the non‐local parameter captures size‐dependent effects, which become significant at micro‐ and nano‐scales. The influence of the moving heat source velocity is systematically examined, particularly in relation to the longitudinal wave speed, revealing critical insights into resonance‐like behavior and wave modulation characteristics. [ABSTRACT FROM AUTHOR]
ISSN:00442267
DOI:10.1002/zamm.70505