Size-dependent effective dynamic properties of unidirectional nanocomposites with interface energy effects

2009 ◽  
Vol 69 (15-16) ◽  
pp. 2538-2546 ◽  
Author(s):  
Seyyed M. Hasheminejad ◽  
Reza Avazmohammadi
Keyword(s):  
Dynamic Properties ◽  
Interface Energy ◽  
Size Dependent ◽  
Effective Dynamic

scholarly journals Plasticity of crystals and interfaces: From discrete dislocations to size-dependent continuum theory

2010 ◽  
Vol 37 (4) ◽  
pp. 289-332 ◽  
Author(s):  
Sinisa Mesarovic
Keyword(s):  
Unsolved Problem ◽  
Continuum Theory ◽  
Elastic Interaction ◽  
Interface Energy ◽  
Crystalline Materials ◽  
Size Dependent ◽  
Dislocation Mechanics ◽  
Pile Up ◽  
Slip Planes ◽  
Discrete Dislocations

In this communication, we summarize the current advances in size-dependent continuum plasticity of crystals, specifically, the rate-independent (quasistatic) formulation, on the basis of dislocation mechanics. A particular emphasis is placed on relaxation of slip at interfaces. This unsolved problem is the current frontier of research in plasticity of crystalline materials. We outline a framework for further investigation, based on the developed theory for the bulk crystal. The bulk theory is based on the concept of geometrically necessary dislocations, specifically, on configurations where dislocations pile-up against interfaces. The average spacing of slip planes provides a characteristic length for the theory. The physical interpretation of the free energy includes the error in elastic interaction energies resulting from coarse representation of dislocation density fields. Continuum kinematics is determined by the fact that dislocation pile-ups have singular distribution, which allows us to represent the dense dislocation field at the boundary as a superdislocation, i.e., the jump in the slip filed. Associated with this jump is a slip-dependent interface energy, which in turn, makes this formulation suitable for analysis of interface relaxation mechanisms.

scholarly journals Effective dynamic properties of 3D composite materials containing rigid penny-shaped inclusions

2010 ◽  
Vol 20 (3) ◽  
pp. 491-510 ◽  
Author(s):  
V.V. Mykhas’kiv ◽  
O.M. Khay ◽  
Ch. Zhang ◽  
A. Boström
Keyword(s):  
Composite Materials ◽  
Dynamic Properties ◽  
Effective Dynamic ◽  
3D Composite

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.

Effective Dynamic Properties and Multi-Resonant Design of Acoustic Metamaterials

2012 ◽  
Vol 134 (3) ◽  
Author(s):  
R. Zhu ◽  
G. L. Huang ◽  
G. K. Hu
Keyword(s):  
Dynamic Properties ◽  
Wave Dispersion ◽  
Wave Band ◽  
Energy Transfer Mechanism ◽  
Acoustic Metamaterials ◽  
Multiple Wave ◽  
Reflection And Transmission ◽  
Acoustic Metamaterial ◽  
Effective Dynamic ◽  
The Difference

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.

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