Effective Medium Theory for the Elastic Properties of Composites and Acoustics Applications

1992 ◽  
Author(s):  
P. J. Steinhardt
Keyword(s):  
Elastic Properties ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Medium Theory ◽  
Properties Of Composites

scholarly journals Elastic properties of hydrate-bearing sediments using effective medium theory

2000 ◽  
Vol 105 (B1) ◽  
pp. 561-577 ◽  
Author(s):  
Morten Jakobsen ◽  
John A. Hudson ◽  
Tim A. Minshull ◽  
Satish C. Singh
Keyword(s):  
Elastic Properties ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Medium Theory ◽  
Hydrate Bearing Sediments

Biot–Gassmann theory for velocities of gas hydrate‐bearing sediments

Geophysics ◽  
2002 ◽  
Vol 67 (6) ◽  
pp. 1711-1719 ◽  
Author(s):  
Myung W. Lee
Keyword(s):  
Elastic Properties ◽  
Gas Hydrate ◽  
Effective Medium Theory ◽  
Velocity Ratio ◽  
Effective Medium ◽  
Unconsolidated Sediments ◽  
Medium Theory ◽  
Velocity Models ◽  
Time Average ◽  
Hydrate Bearing Sediments

Elevated elastic velocities are a distinct physical property of gas hydrate‐bearing sediments. A number of velocity models and equations (e.g., pore‐filling model, cementation model, effective medium theories, weighted equations, and time‐average equations) have been used to describe this effect. In particular, the weighted equation and effective medium theory predict reasonably well the elastic properties of unconsolidated gas hydrate‐bearing sediments. A weakness of the weighted equation is its use of the empirical relationship of the time‐average equation as one element of the equation. One drawback of the effective medium theory is its prediction of unreasonably higher shear‐wave velocity at high porosities, so that the predicted velocity ratio does not agree well with the observed velocity ratio. To overcome these weaknesses, a method is proposed, based on Biot–Gassmann theories and assuming the formation velocity ratio (shear to compressional velocity) of an unconsolidated sediment is related to the velocity ratio of the matrix material of the formation and its porosity. Using the Biot coefficient calculated from either the weighted equation or from the effective medium theory, the proposed method accurately predicts the elastic properties of unconsolidated sediments with or without gas hydrate concentration. This method was applied to the observed velocities at the Mallik 2L‐39 well, Mackenzie Delta, Canada.

Effective medium theory of the microwave and the infrared properties of composites with carbon nanotube inclusions

Carbon ◽  
1998 ◽  
Vol 36 (12) ◽  
pp. 1833-1839 ◽  
Author(s):  
Akhlesh Lakhtakia ◽  
Gregory Ya. Slepyan ◽  
Sergey A. Maksimenko ◽  
Anton V. Gusakov ◽  
Oleg M. Yevtushenko
Keyword(s):  
Carbon Nanotube ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Medium Theory ◽  
Properties Of Composites

Effective medium theory based modeling of the thermoelectric properties of composites: comparison between predictions and experiments in the glass–crystal composite system Si10As15Te75–Bi0.4Sb1.6Te3

2015 ◽  
Vol 3 (42) ◽  
pp. 11090-11098 ◽  
Author(s):  
J.-B. Vaney ◽  
A. Piarristeguy ◽  
V. Ohorodniichuck ◽  
O. Ferry ◽  
A. Pradel ◽  
...  
Keyword(s):  
Thermoelectric Properties ◽  
Composite System ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Medium Theory ◽  
Glass Crystal ◽  
Crystal Composite ◽  
Properties Of Composites ◽  
Modeling Study

An experimental and modeling study of glass–crystal Si10As15Te75–Bi0.4Sb1.6Te3 composites.

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.

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