Journal
PHYSICS LETTERS A
Volume 378, Issue 32-33, Pages 2436-2442Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2014.06.021
Keywords
Nacre; Phononic crystal; Band gap; Vibration isolation; Finite element method
Categories
Funding
- National Natural Science Foundation of China [11232003, 91315302]
- National Key Basic Research Special Foundation of China [2010CB832704]
- National High Technology Research and Development Program of China [2012AA050901]
- National 111 Project of China [B08014]
- Doctoral Fund of Ministry of Education of China [20130041110050]
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The band structure of a nacreous composite material is studied by two proposed models, where an ultrawide low frequency band gap is observed. The first model (tension-shear chain model) with two phases including brick and mortar is investigated to describe the wave propagation in the nacreous composite material, and the dispersion relation is calculated by transfer matrix method and Bloch theorem. The results show that the frequency ranges of the pass bands are quite narrow, because a special tension-shear chain motion in the nacreous composite material is formed by some very slow modes. Furthermore, the second model (two-dimensional finite element model) is presented to investigate its band gap by a multi-level substructure scheme. Our findings will be of great value to the design and synthesis of vibration isolation materials in a wide and low frequency range. Finally, the transmission characteristics are calculated to verify the results. (C) 2014 Elsevier B.V. All rights reserved.
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