Abstract
Composite materials are typically modeled using homogenized material properties. These models are effective when considering the average behavior of a composite material, but they fail to capture local behavior that arises due to a random microstructure. In this work, the local constitutive properties in a random composite microstructure are approximated by applying a moving-window micromechanics technique. This approximate field of constitutive properties is used as input to a simulation algorithm that was developed to retain spectral, correlation, and non-Gaussian probabilistic characteristics. Rapidly generated Monte Carlo simulations of the constitutive matrix fields are used in a finite element analysis to create a series of local stress fields associated with the random material sample under uniaxial tension. This series allows estimation of the statistical variability in the local stress response for the random composite. Quantification of local stress values highlights the importance of modeling the stochastic variability of the microstructure.