Calculation of the Effective Thermal Conductivity in Composites Using Finite Element and Monte Carlo Methods

Thomas Fiedler; Andreas Öchsner; Nilindu Muthubandara; Irina V. Belova; Graeme E. Murch

doi:10.4028/www.scientific.net/MSF.553.51

Paper Titles

Self-Affine Patterns of Boride Layers
p.27

Modeling and Simulation of Resin Filling and Cure Processes in Molds Partially Filled with Porous Media
p.33

On the Thermal Conductivity of Adhesively Bonded and Sintered Hollow Sphere Structures (HSS)
p.39

Influence of the Morphology of Joining on the Heat Transfer Properties of Periodic Metal Hollow Sphere Structures
p.45

Calculation of the Effective Thermal Conductivity in Composites Using Finite Element and Monte Carlo Methods
p.51

A Thermodynamical Model for Analysis of Isothermal Phase Transformations under High Pressure
p.57

Comparison between the Thermodynamical Behaviour of PdTe₂ and PtTe₂, while Subjected Isothermally to High Pressure
p.63

Fracture Toughness and Crack Deflection in Porous Multilayered Ceramics: Application to NiO-YSZ
p.69

Finite Element Analysis of Temperature and Density Distributions in Selective Laser Sintering Process
p.75

HomeMaterials Science ForumMaterials Science Forum Vol. 553Calculation of the Effective Thermal Conductivity...

Calculation of the Effective Thermal Conductivity in Composites Using Finite Element and Monte Carlo Methods

Abstract:

In this paper, the Finite Element and lattice Monte Carlo methods are used to calculate the effective thermal conductivity of two models of a composite: circular and square inclusions arranged in a square planar arrangement. A new lattice Monte Carlo method based around Fick’s First Law is also presented. Excellent agreement is found between these quite different methods. It is also shown that the results are in excellent agreement with the century-old Maxwell Equation.