^{a}and Katherine A. Acton

^{b}

^{a}scbaxter@stthomas.edu

^{b}kacton@stthomas.edu

Low frequency wave velocities in heterogeneous materials are governed by the density of the material and its effective static bulk and shear moduli (K, G). In previous work it was argued that due to the random microstructures of these materials, these effective properties, and hence the low frequency speed of waves propagating through them, should be treated as stochastic variables with associated distribution functions. The authors used the principle of maximum entropy (PME) and the well-established first order bounds on the effective properties of a composite, to develop probability distributions of the wave speeds. This work builds on the previous work by exploring the use of the distributions of apparent elastic properties calculated using Statistical Volume Elements (SVEs). PME is then used to develop joint distribution functions to facilitate simulations of dependent properties. Distributions of wave speeds are calculated for a uniform random microstructure with a circular cross-section fibers.