Journal
CHINESE JOURNAL OF AERONAUTICS
Volume 33, Issue 10, Pages 2563-2574Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.cja.2019.10.006
Keywords
Dynamic behavior; Energy flow; Enriched rod model; Reflection and transmission; Second strain gradient theory; Wave propagation features
Categories
Funding
- LabEx CeLyA (Centre Lyonnais d'Acoustique) of Universite de Lyon [ANR-10-LABX-0060]
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In this work, an enriched model describing the longitudinal wave propagation is established based on Mindlin's Second Strain Gradient (SSG) theory, which can describe the heterogeneity caused by the micro-structure interactions in the frame of continuum mechanics. The governing equation and associated boundary conditions are derived based on Hamilton's principle, then the dispersion relation of non-classical longitudinal wave together with the extra-waves appearing exclusively in SSG theory model are investigated. The investigations are based on the modal density, energy flow, and forced response of the rod. Wave transmission and reflection through planar interfaces based on the proposed model have been calculated. Finally, the results of the enriched model are well interpreted by comparing with the classical theory results, and some useful conclusions are derived on the SSG theory based model in the wave propagation characterization. (C) 2019 Chinese Society of Aeronautics and Astronautics. Production and hosting by Elsevier Ltd.
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