A Dispersive Effective Medium for Wave Propagation in Periodic Composites

1991 ◽  
Vol 51 (4) ◽  
pp. 984-1005 ◽  
Author(s):  
Fadil Santosa ◽  
William W. Symes
Keyword(s):  
Wave Propagation ◽  
Effective Medium ◽  
Periodic Composites

Effective Dynamic Properties of Microstructured Heterogeneous Materials

2012 ◽  
Author(s):  
Ankit Srivastava ◽  
Sia Nemat-Nasser
Keyword(s):  
Wave Propagation ◽  
Explicit Form ◽  
Constitutive Equations ◽  
Effective Properties ◽  
Dynamic Properties ◽  
Effective Property ◽  
Bloch Wave ◽  
Periodic Composites ◽  
Effective Dynamic ◽  
Dynamic Effective Properties

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.

scholarly journals Discrete wave equation upscaling

2017 ◽  
Vol 209 (1) ◽  
pp. 353-357 ◽  
Author(s):  
Andreas Fichtner ◽  
Shravan M. Hanasoge
Keyword(s):  
Wave Propagation ◽  
Wave Equation ◽  
Effective Medium ◽  
Effective Equation ◽  
Low Frequencies ◽  
Numerical Example ◽  
Homogenization Technique ◽  
Computationally Expensive

Abstract We present homogenization technique for the uniformly discretized wave equation, based on the derivation of an effective equation for the low-wavenumber component of the solution. The method produces a down-sampled, effective medium, thus making the solution of the effective equation less computationally expensive. Advantages of the method include its conceptual simplicity and ease of implementation, the applicability to any uniformly discretized wave equation in 1-D, 2-D or 3-D, and the absence of any constraints on the medium properties. We illustrate our method with a numerical example of wave propagation through a 1-D multiscale medium and demonstrate the accurate reproduction of the original wavefield for sufficiently low frequencies.

scholarly journals A dispersive nonlocal model for wave propagation in periodic composites

2009 ◽  
Vol 4 (5) ◽  
pp. 951-976 ◽  
Author(s):  
Juan Miguel Vivar-Pérez ◽  
Ulrich Gabbert ◽  
Harald Berger ◽  
Reinaldo Rodríguez-Ramos ◽  
Julián Bravo-Castillero ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Nonlocal Model ◽  
Periodic Composites

Application of an effective medium theory for modeling ultrasound wave propagation in healing long bones

Ultrasonics ◽  
2014 ◽  
Vol 54 (5) ◽  
pp. 1219-1230 ◽  
Author(s):  
Vassiliki T. Potsika ◽  
Konstantinos N. Grivas ◽  
Vasilios C. Protopappas ◽  
Maria G. Vavva ◽  
Kay Raum ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Ultrasound Wave ◽  
Long Bones ◽  
Medium Theory
Sign in / Sign up

Export Citation Format

Share Document