scholarly journals Negative effective dynamic mass-density and stiffness: Micro-architecture and phononic transport in periodic composites

AIP Advances ◽  
2011 ◽  
Vol 1 (4) ◽  
pp. 041502 ◽  
Author(s):  
Sia Nemat-Nasser ◽  
Ankit Srivastava
Keyword(s):  
Mass Density ◽  
Periodic Composites ◽  
Dynamic Mass ◽  
Effective Dynamic

scholarly journals Effective dynamic mass density of composites

2007 ◽  
Vol 76 (13) ◽  
Author(s):  
Jun Mei ◽  
Zhengyou Liu ◽  
Weijia Wen ◽  
Ping Sheng
Keyword(s):  
Mass Density ◽  
Dynamic Mass ◽  
Effective Dynamic

Dynamic mass density and acoustic metamaterials

2007 ◽  
Vol 394 (2) ◽  
pp. 256-261 ◽  
Author(s):  
Ping Sheng ◽  
Jun Mei ◽  
Zhengyou Liu ◽  
Weijia Wen
Keyword(s):  
Mass Density ◽  
Acoustic Metamaterials ◽  
Dynamic Mass

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.

Anisotropic dynamic mass density for fluid–solid composites

2012 ◽  
Vol 407 (20) ◽  
pp. 4093-4096 ◽  
Author(s):  
Ying Wu ◽  
Jun Mei ◽  
Ping Sheng
Keyword(s):  
Mass Density ◽  
Dynamic Mass ◽  
Solid Composites

Effective Dynamic Constitutive Relations for 3-D Periodic Elastic Composites

2013 ◽  
Vol 1508 ◽  
Author(s):  
Ankit Srivastava ◽  
Sia Nemat-Nasser
Keyword(s):  
Wave Propagation ◽  
Dispersion Relation ◽  
Constitutive Relation ◽  
Effective Properties ◽  
Constitutive Relations ◽  
Bloch Wave ◽  
Ensemble Averaging ◽  
Periodic Composites ◽  
Effective Dynamic ◽  
Elastic Composites

ABSTRACTCentral to the idea of metamaterials is the concept of dynamic homogenization which seeks to define frequency dependent effective properties for Bloch wave propagation. Recent advances in the theory of dynamic homogenization have established the coupled form of the constitutive relation (Willis constitutive relation). This coupled form of the constitutive relation naturally emerges from ensemble averaging of the dynamic fields and automatically satisfies the dispersion relation in the case of periodic composites. Its importance is also notable due to its invariance under transformational acoustics. 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.

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