### Abstract

The theory of coupled thermoelastic plane strain wave propagation in an unbounded, periodically layered elastic plate is developed in terms of Floquet Waves. The dispersion spectrum is shown to be governed by the six roots of the dispersion relation which is presented in the form of a determinant of order twelve. The spectrum shows the typical band structure, consisting of stopping and passing bands, of wave propagation in a periodic medium. For the special case of wave propagation normal to the layering, the dispersion relation degenerates into the product of a fourth-order determinant and an eighth-order determinant. For the case of wave propagation at an arbitrary angle, it is shown that if there exists one coordinate system to impart symmetry to the structure, the dispersion relations along both ends of Brillouin zone can be factorized into the product of two determinants of order six. The significance of this uncoupling is examined.

Original language | English |
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Title of host publication | North-Holland Series in Applied Mathematics and Mechanics |

Pages | 287-292 |

Number of pages | 6 |

Edition | C |

DOIs | |

Publication status | Published - 1989 Jan 1 |

### Publication series

Name | North-Holland Series in Applied Mathematics and Mechanics |
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Number | C |

Volume | 35 |

ISSN (Print) | 0167-5931 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Computational Mechanics
- Applied Mathematics

### Cite this

*North-Holland Series in Applied Mathematics and Mechanics*(C ed., pp. 287-292). (North-Holland Series in Applied Mathematics and Mechanics; Vol. 35, No. C). https://doi.org/10.1016/B978-0-444-87272-2.50048-8

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*North-Holland Series in Applied Mathematics and Mechanics.*C edn, North-Holland Series in Applied Mathematics and Mechanics, no. C, vol. 35, pp. 287-292. https://doi.org/10.1016/B978-0-444-87272-2.50048-8

**Coupled Thermoelastic Waves in Periodically Laminated Plates.** / Lee, Sen-Yung; Chin, Liang C.; Yang, Huey J.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Coupled Thermoelastic Waves in Periodically Laminated Plates

AU - Lee, Sen-Yung

AU - Chin, Liang C.

AU - Yang, Huey J.

PY - 1989/1/1

Y1 - 1989/1/1

N2 - The theory of coupled thermoelastic plane strain wave propagation in an unbounded, periodically layered elastic plate is developed in terms of Floquet Waves. The dispersion spectrum is shown to be governed by the six roots of the dispersion relation which is presented in the form of a determinant of order twelve. The spectrum shows the typical band structure, consisting of stopping and passing bands, of wave propagation in a periodic medium. For the special case of wave propagation normal to the layering, the dispersion relation degenerates into the product of a fourth-order determinant and an eighth-order determinant. For the case of wave propagation at an arbitrary angle, it is shown that if there exists one coordinate system to impart symmetry to the structure, the dispersion relations along both ends of Brillouin zone can be factorized into the product of two determinants of order six. The significance of this uncoupling is examined.

AB - The theory of coupled thermoelastic plane strain wave propagation in an unbounded, periodically layered elastic plate is developed in terms of Floquet Waves. The dispersion spectrum is shown to be governed by the six roots of the dispersion relation which is presented in the form of a determinant of order twelve. The spectrum shows the typical band structure, consisting of stopping and passing bands, of wave propagation in a periodic medium. For the special case of wave propagation normal to the layering, the dispersion relation degenerates into the product of a fourth-order determinant and an eighth-order determinant. For the case of wave propagation at an arbitrary angle, it is shown that if there exists one coordinate system to impart symmetry to the structure, the dispersion relations along both ends of Brillouin zone can be factorized into the product of two determinants of order six. The significance of this uncoupling is examined.

UR - http://www.scopus.com/inward/record.url?scp=85023322707&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85023322707&partnerID=8YFLogxK

U2 - 10.1016/B978-0-444-87272-2.50048-8

DO - 10.1016/B978-0-444-87272-2.50048-8

M3 - Chapter

T3 - North-Holland Series in Applied Mathematics and Mechanics

SP - 287

EP - 292

BT - North-Holland Series in Applied Mathematics and Mechanics

ER -