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The prediction of the effective elastic properties of polymer bondedexplosives using direct numerical simulations is computationally expensivebecause of the high volume fraction of particles in these particulatecomposites ($\sim$0.90) and the strong modulus contrast between the particlesand the binder ($\sim$20,000). The generalized method of cells (GMC) is analternative to direct numerical simulations for the determination of effectiveelastic properties of composites. GMC has been shown to be more computationallyefficient than finite element analysis based approaches for a range ofcomposites. In this investigation, the applicability of GMC to thedetermination of effective elastic properties of polymer bonded explosives isexplored. GMC is shown to generate excellent estimates of effective moduli forcomposites containing square arrays of disks at volume fractions less than 0.60and a modulus contrast of approximately 100.

On the generalized method of cells and the prediction of effective elastic properties of polymer bonded explosives