Bounds on the effective thermal conductivity of a dispersion of fully penetrable spheres

1985 ◽  
Vol 23 (3) ◽  
pp. 375-383 ◽  
Author(s):  
S Torquato ◽  
G Stell
Keyword(s):  
Thermal Conductivity ◽  
Effective Thermal Conductivity ◽  
Penetrable Spheres

scholarly journals Third-order thermo-mechanical properties for packs of Platonic solids using statistical micromechanics

2015 ◽  
Vol 471 (2177) ◽  
pp. 20150060 ◽  
Author(s):  
A. Gillman ◽  
G. Amadio ◽  
K. Matouš ◽  
T. L. Jackson
Keyword(s):  
Mechanical Properties ◽  
Thermal Conductivity ◽  
Effective Thermal Conductivity ◽  
Three Dimensional ◽  
Adaptive Methods ◽  
Shape Effect ◽  
Third Order ◽  
Recent Letter ◽  
Penetrable Spheres ◽  
First Time

Obtaining an accurate higher order statistical description of heterogeneous materials and using this information to predict effective material behaviour with high fidelity has remained an outstanding problem for many years. In a recent letter, Gillman & Matouš (2014 Phys. Lett. A 378, 3070–3073. ()) accurately evaluated the three-point microstructural parameter that arises in third-order theories and predicted with high accuracy the effective thermal conductivity of highly packed material systems. Expanding this work here, we predict for the first time effective thermo-mechanical properties of granular Platonic solid packs using third-order statistical micromechanics. Systems of impenetrable and penetrable spheres are considered to verify adaptive methods for computing n -point probability functions directly from three-dimensional microstructures, and excellent agreement is shown with simulation. Moreover, a significant shape effect is discovered for the effective thermal conductivity of highly packed composites, whereas a moderate shape effect is exhibited for the elastic constants.

Temperature and Pressure Dependences of the Effective Thermal Conductivity of Granites

2020 ◽  
Vol 84 (9) ◽  
pp. 1144-1146
Author(s):  
S. N. Emirov ◽  
A. A. Aliverdiev ◽  
V. D. Beybalaev ◽  
A. A. Amirova ◽  
R. M. Aliev ◽  
...  
Keyword(s):  
Thermal Conductivity ◽  
Effective Thermal Conductivity ◽  
Temperature And Pressure

Effective thermal conductivity of open-pore metal foams as a function of the base material

2015 ◽  
Vol 57 (10) ◽  
pp. 825-836 ◽  
Author(s):  
Alexander Martin Matz ◽  
Bettina Stefanie Mocker ◽  
Norbert Jost ◽  
Peter Krug
Keyword(s):  
Thermal Conductivity ◽  
Effective Thermal Conductivity ◽  
Base Material ◽  
Metal Foams
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