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Applied Physics Letters / Volume 94 / Issue 16 / STRUCTURAL, MECHANICAL, THERMODYNAMIC, AND OPTICAL PROPERTIES OF CONDENSED MATTER

Appl. Phys. Lett. 94, 161909 (2009); http://dx.doi.org/10.1063/1.3119206 (3 pages)

Analysis of wave propagation and localization in periodic/disordered layered composite structures by a mass-spring model

Zhi-Zhong Yan1, Chuanzeng Zhang1, and Yue-Sheng Wang2

1Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany
2Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, People’s Republic of China

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(Received 9 January 2009; accepted 23 March 2009; published online 23 April 2009)

The band structure and the displacement field of elastic waves in periodic/disordered layered composite structures of finite width are investigated by a simple mass-spring model. In the case of comparable stiffness, the density contrast plays a dominant role for the center layer disorder to obtain localized wave modes within the band gap. On the other hand, in the case of comparable density contrast, the number and the position of the localized modes can be adjusted by changing the stiffness of the center layer. Compared to the soft and nearly cracked disorders situated between two layers with a lower density, the band structure and the displacement are quite different from the case between two layers with a higher density.

© 2009 American Institute of Physics

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KEYWORDS and PACS

Keywords

composite materials, cracks, elastic constants, elastic waves, energy gap, localised modes

PACS

  • 62.30.+d

    Mechanical and elastic waves; vibrations

  • 71.20.-b

    Electron density of states and band structure of crystalline solids

  • 81.40.Jj

    Elasticity and anelasticity, stress-strain relations

  • 62.20.dq

    Other elastic constants

  • 71.23.An

    Theories and models; localized states

  • 81.40.Np

    Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure

  • 62.20.mt

    Cracks

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3119206

PUBLICATION DATA

ISSN

0003-6951 (print)  
1077-3118 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
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    M. S. Kushwaha and P. Halevi, Appl. Phys. Lett. 64, 1085 (1994)APPLAB000064000009001085000001.


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