MODELING THE EFFECTIVE DYNAMIC PROPERTIES OF FIBER COMPOSITES MODIFIED ACROSS LENGTH SCALES

Author(s):  
Dmitriy B. Volkov-Bogorodsky ◽  
Sergey A. Lurie ◽  
G. I. Kriven
2010 ◽  
Vol 20 (3) ◽  
pp. 491-510 ◽  
Author(s):  
V.V. Mykhas’kiv ◽  
O.M. Khay ◽  
Ch. Zhang ◽  
A. Boström

Author(s):  
Ankit Srivastava ◽  
Sia Nemat-Nasser

Central to the idea of metamaterials is the concept of dynamic homogenization which seeks to define frequency dependent effective properties for Bloch wave propagation. While the theory of static effective property calculations goes back about 60 years, progress in the actual calculation of dynamic effective properties for periodic composites has been made only very recently. Here we discuss the explicit form of the effective dynamic constitutive equations. We elaborate upon the existence and emergence of coupling in the dynamic constitutive relation and further symmetries of the effective tensors.


2012 ◽  
Vol 134 (3) ◽  
Author(s):  
R. Zhu ◽  
G. L. Huang ◽  
G. K. Hu

In the study, a retrieval approach is extended to determine the effective dynamic properties of a finite multilayered acoustic metamaterial based on the theoretical reflection and transmission analysis. The accuracy of the method is verified through a comparison of wave dispersion curve predictions from the homogeneous effective medium and the exact solution. A multiresonant design is then suggested for the desirable multiple wave band gaps by using a finite acoustic metamaterial slab. Finally, the band gap behavior and kinetic energy transfer mechanism in a multilayered composite with a periodic microstructure are studied to demonstrate the difference between the Bragg scattering mechanism and the locally resonant mechanism.


2017 ◽  
Vol 128 (2) ◽  
pp. 265-289 ◽  
Author(s):  
Jean-Jacques Marigo ◽  
Agnès Maurel ◽  
Kim Pham ◽  
Amine Sbitti

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