ANALYSIS OF BAND GAP STRUCTURES OF THERMAL WAVE IN FUNCTIONALLY GRADED THERMOELECTRIC PHONONIC CRYSTALS

Zhizhong Yan; Jia Jun Li; Ying Han Wu; Ercong Cheng

doi:10.2140/JOMMS.2025.20.437

ANALYSIS OF BAND GAP STRUCTURES OF THERMAL WAVE IN FUNCTIONALLY GRADED THERMOELECTRIC PHONONIC CRYSTALS

Zhizhong Yan
, Jia Jun Li
, Ying Han Wu
, Ercong Cheng

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

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 ₀, 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 C_ρn. The τ_qn can affect the first band gap width and the number of the band gap.

Original language	English
Pages (from-to)	437-451
Number of pages	15
Journal	Journal of Mechanics of Materials and Structures
Volume	20
Issue number	4
DOIs	https://doi.org/10.2140/JOMMS.2025.20.437
Publication status	Published - Jan 2025
Externally published	Yes

Keywords

band gap
FGMs
PCs
thermal wave

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10.2140/JOMMS.2025.20.437

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title = "ANALYSIS OF BAND GAP STRUCTURES OF THERMAL WAVE IN FUNCTIONALLY GRADED THERMOELECTRIC PHONONIC CRYSTALS",

abstract = "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 0, 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 Cρn. The τqn can affect the first band gap width and the number of the band gap.",

keywords = "band gap, FGMs, PCs, thermal wave",

author = "Zhizhong Yan and Li, \{Jia Jun\} and Wu, \{Ying Han\} and Ercong Cheng",

note = "Publisher Copyright: {\textcopyright} 2025 MSP (Mathematical Sciences Publishers).",

year = "2025",

month = jan,

doi = "10.2140/JOMMS.2025.20.437",

language = "English",

volume = "20",

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T1 - ANALYSIS OF BAND GAP STRUCTURES OF THERMAL WAVE IN FUNCTIONALLY GRADED THERMOELECTRIC PHONONIC CRYSTALS

AU - Yan, Zhizhong

AU - Li, Jia Jun

AU - Wu, Ying Han

AU - Cheng, Ercong

PY - 2025/1

Y1 - 2025/1

N2 - 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 0, 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 Cρn. The τqn can affect the first band gap width and the number of the band gap.

AB - 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 0, 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 Cρn. The τqn can affect the first band gap width and the number of the band gap.

KW - band gap

KW - FGMs

KW - PCs

KW - thermal wave

UR - https://www.scopus.com/pages/publications/105027145600

U2 - 10.2140/JOMMS.2025.20.437

DO - 10.2140/JOMMS.2025.20.437

M3 - Article

AN - SCOPUS:105027145600

SN - 1559-3959

VL - 20

SP - 437

EP - 451

JO - Journal of Mechanics of Materials and Structures

JF - Journal of Mechanics of Materials and Structures

IS - 4

ER -

ANALYSIS OF BAND GAP STRUCTURES OF THERMAL WAVE IN FUNCTIONALLY GRADED THERMOELECTRIC PHONONIC CRYSTALS

Abstract

Keywords

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