scholarly journals Effective Medium Theory for Multi-Component Materials Based on Iterative Method

Photonics ◽  
2020 ◽  
Vol 7 (4) ◽  
pp. 113
Author(s):  
Ravshanjon Nazarov ◽  
Tianmiao Zhang ◽  
Mikhail Khodzitsky
Keyword(s):  
Composite Materials ◽  
Dielectric Properties ◽  
Iterative Method ◽  
Complex Permittivity ◽  
Biomedical Applications ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Medium Theory ◽  
Terahertz Band ◽  
Relative Errors

For biomedical applications in the terahertz band, composites such as macromolecule compounds, biotissues and phantoms are studied. A description of dielectric properties of composite materials using mathematical models has its own fundamental and technological importance. In this work, we present an iterative effective medium theory for multi-component materials. The model has good performance in describing composite materials with more than two components. The theory is evaluated by comparing with the complex permittivity of three different composite materials. A comparison with other commonly used models is given in the form of relative errors.

Terahertz scattering by granular composite materials: An effective medium theory

2012 ◽  
Vol 100 (1) ◽  
pp. 011107 ◽  
Author(s):  
Mayank Kaushik ◽  
Brian W.-H. Ng ◽  
Bernd M. Fischer ◽  
Derek Abbott
Keyword(s):  
Composite Materials ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Medium Theory ◽  
Granular Composite

scholarly journals Effective Medium Theory for the Elastic Properties of Composite Materials with Various Percolation Thresholds

Materials ◽  
2020 ◽  
Vol 13 (5) ◽  
pp. 1243 ◽  
Author(s):  
Andrei A. Snarskii ◽  
Mikhail Shamonin ◽  
Pavel Yuskevich
Keyword(s):  
Composite Materials ◽  
Elastic Properties ◽  
Effective Conductivity ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Effective Parameters ◽  
Two Phase ◽  
Medium Theory ◽  
Percolation Thresholds ◽  
Conductive Properties

It is discussed that the classical effective medium theory for the elastic properties of random heterogeneous materials is not congruous with the effective medium theory for the electrical conductivity. In particular, when describing the elastic and electro-conductive properties of a strongly inhomogeneous two-phase composite material, the steep rise of effective parameters occurs at different concentrations. To achieve the logical concordance between the cross-property relations, a modification of the effective medium theory of the elastic properties is introduced. It is shown that the qualitative conclusions of the theory do not change, while a possibility of describing a broader class of composite materials with various percolation thresholds arises. It is determined under what conditions there is an elasticity theory analogue of the Dykhne formula for the effective conductivity. The theoretical results are supported by known experiments and show improvement over the existing approach. The introduction of the theory with the variable percolation threshold paves the way for describing the magnetorheological properties of magnetoactive elastomers. A similar approach has been recently used for the description of magneto-dielectric and magnetic properties.

Parametric Study on Mechanical, Thermal and Electrical Properties of Graphene Reinforced Composites by Effective Medium Theory

2021 ◽  
Vol 13 (01) ◽  
pp. 2150008
Author(s):  
Zhilin Tong ◽  
Yu Wang ◽  
Chuang Feng ◽  
Dong Zhu ◽  
Sujing Jin
Keyword(s):  
Dielectric Properties ◽  
Electrical Properties ◽  
Material Properties ◽  
Parametric Study ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Reinforced Composites ◽  
Medium Theory ◽  
The Matrix ◽  
Thermal And Electrical Properties

This paper conducts theoretical study on the mechanical, thermal and electrical properties of graphene reinforced composites by effective medium theory (EMT). Considering the imperfect bonding between the reinforcing fillers and the matrix, an interphase surrounding the graphene fillers is introduced during the EMT modeling. The coated graphene fillers are homogenized as effective reinforcements dispersed in a matrix. The EMT model is validated by comparing the predicted material properties with previously reported results. Parametric study is carried out to investigate the influences of several parameters, including concentration and geometry of graphene fillers, the attributes of the introduced an interphase and the alternating current (AC) frequency, upon the effective material properties of the reinforced composites. The results demonstrate that the increase of the thickness of the interphase results in the decrease of Young’s modulus, thermal conductivity and electrical conductivity of the composites while it is favorable to enhance the dielectric properties of the composites. The increase in the aspect ratio of the graphene filler enhances all material properties involved. Percolation behaviors are observed for the dielectric properties of the composites. Moreover, the dielectric properties of the composites are very sensitive to the change of the AC frequency within a certain range, which suggests the achievement of active tuning of material properties.

Numerical Verification of the Applicability of the Effective Medium Theory With Respect to Dielectric Properties of Biological Tissue

2015 ◽  
Vol 51 (3) ◽  
pp. 1-4 ◽  
Author(s):  
Oliver Spathmann ◽  
Mehrdad Saviz ◽  
Joachim Streckert ◽  
Martin Zang ◽  
Volkert Hansen ◽  
...  
Keyword(s):  
Dielectric Properties ◽  
Biological Tissue ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Numerical Verification ◽  
Medium Theory
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