A computational study on the effective properties of heterogeneous random media containing particulate inclusions

作者:Tawerghi Elyas*; Yi Yun Bo
来源:Journal of Physics D: Applied Physics , 2009, 42(17): 175409.
DOI:10.1088/0022-3727/42/17/175409

摘要

The effective elastic modulus and conductivity of a two-phase material system are investigated computationally using a Monte Carlo scheme. The models contain circular, spherical or ellipsoidal inclusions that are either uniformly or randomly embedded in the matrix material. The computed results are compared with the applicable effective medium theories. It is found that the random distribution, geometric permeability and particle aspect ratio have non-negligible effects on the effective material properties. For spherical inclusions, the effective medium approximations agree well with the simulation results in general, but the analytical predictions on void or non-spherical inclusions are much less reliable. It is found that the results for overlapping and non-overlapping inclusions do not differ very much at the same volume fraction. The effect of particle morphology is also investigated by modelling prolate and oblate ellipsoidal inclusions.

  • 出版日期2009-9-7