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Analysis of band
gap structures of thermal wave in functionally graded
thermoelectric phononic crystals
Zhizhong Yan, Jia-jun Li, Ying-han Wu and Ercong Cheng |
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Vol. 20 (2025), No. 4, 437–451
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DOI: 10.2140/jomms.2025.20.437
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Abstract |
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This study presents a novel investigation of thermal wave propagation in layered phononic crystals (PCs) composed of functionally graded materials (FGMs), revealing unprecedented thermal band gap tuning mechanisms through the Cattaneo–Vernotte and dual-phase-lag heat conduction models. Unlike conventional homogeneous PCs, the FGM-based structure introduces unique gradient-dependent band gap modulation, analyzed via the transfer matrix method and Bloch theorem. The complex dispersion curves of thermal waves are obtained. The first band gap intervals increase with the increase of the gradient change index , and the intervals of the first band gap shrink and then become broader a little bit with the increase of parameter . Besides, the first band gap intervals decrease with the increase of . The intervals of the first band gap increase with the increase of . The can affect the first band gap width and the number of the band gap. |
Keywords
band gap, FGMs, PCs, thermal wave
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Milestones
Received: 25 February 2025
Revised: 18 August 2025
Accepted: 18 September 2025
Published: 1 November 2025
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Authors |
| Zhizhong Yan | |
| School of Mathematics and Statistics
+ Beijing Key Laboratory on MCAACI Beijing Institute of Technology Beijing, 100081 China |
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| Jia-jun Li | |
| School of Mathematics and Statistics
+ Beijing Key Laboratory on MCAACI Beijing Institute of Technology Beijing, 100081 China |
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| Ying-han Wu | |
| School of Mathematics and Statistics
+ Beijing Key Laboratory on MCAACI Beijing Institute of Technology Beijing, 100081 China |
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| Ercong Cheng | |
| School of Mathematics and Statistics
+ Beijing Key Laboratory on MCAACI Beijing Institue of Technology Beijing, 100081 China |
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| © 2025 MSP (Mathematical Sciences Publishers). |
