The generalized Floquet-Bloch spectrum for periodic thermodiffusive layered materials

被引：10
作者：
Fantoni, F. [1 ]
Morini, L. [2 ]
Bacigalupo, A. [3 ]
Paggi, M. [4 ]
机构：
[1] Univ Brescia, DICATAM, Via Bronze 43, I-25123 Brescia, Italy
[2] Cardiff Univ, Sch Engn, Cardiff CF24 3AA, Wales
[3] Univ Genoa, DICCA, Via Montallegro 1, I-16145 Genoa, Italy
[4] IMT Sch Adv Studies Lucca, Piazza San Francesco 19, I-55100 Lucca, Italy
来源：
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2021年 / 194卷
关键词：
Periodic thermodiffusive laminates; Floquet-Bloch conditions; Transfer matrix; dispersion relation; complex spectra;
D O I：
10.1016/j.ijmecsci.2020.106178
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The dynamic behaviour of periodic thermodiffusive mull-layered media excited by harmonic oscillations is studied. In the framework of linear thermodiffusive elasticity, periodic laminates, whose elementary cell is composed by an arbitrary number of layers, are considered. The generalized Floquet-Bloch conditions are imposed, and the universal dispersion relation of the composite is obtained by means of an approach based on the formal solution for a single layer together with the transfer matrix method. The eigenvalue problem associated with the dispersion equation is solved by means of an analytical procedure based on the symplecticity properties of the transfer matrix to which corresponds a palindromic characteristic polynomial, and the frequency band structure associated to wave propagating inside the medium is finally derived. The proposed approach is tested through illustrative examples where thermodiffusive multilayered structures of interest for renewable energy devices fabrication are analyzed. The effects of thermodiffusion coupling on both the propagation and attenuation of Bloch waves in these systems are investigated in detail.
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页数：14
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