Coupled Thermoelastic Waves in Periodically Laminated Plates

Sen-Yung Lee, Liang C. Chin, Huey J. Yang

研究成果: Chapter

摘要

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.

原文English
主出版物標題North-Holland Series in Applied Mathematics and Mechanics
頁面287-292
頁數6
版本C
DOIs
出版狀態Published - 1989 一月 1

出版系列

名字North-Holland Series in Applied Mathematics and Mechanics
號碼C
35
ISSN(列印)0167-5931

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Applied Mathematics

指紋 深入研究「Coupled Thermoelastic Waves in Periodically Laminated Plates」主題。共同形成了獨特的指紋。

  • 引用此

    Lee, S-Y., Chin, L. C., & Yang, H. J. (1989). Coupled Thermoelastic Waves in Periodically Laminated Plates. 於 North-Holland Series in Applied Mathematics and Mechanics (C 編輯, 頁 287-292). (North-Holland Series in Applied Mathematics and Mechanics; 卷 35, 編號 C). https://doi.org/10.1016/B978-0-444-87272-2.50048-8