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We consider a linearly elastic composite medium, which consists of ahomogeneous matrix containing a statistically homogeneous set of multimodalspherical inclusions modeling the morphology of heterogeneous solid propellants(HSP). Estimates of effective elastic moduli are performed using themultiparticle effective field method (MEFM) directly taking into account theinteraction of different inclusions. Because of this, the effective elasticmoduli of the HSP evaluated by the MEFM are sensitive to both the relative sizeof the inclusions (i.e., their multimodal nature) and the RDFs estimated fromexperimental data, as well as from the ensembles generated by the methodproposed. Moreover, the detected increased stress concentrator factors at thelarger particles in comparison with smaller particles in bimodal structures iscritical for any nonlinear localized phenomena such as onset of yielding,failure initiation, and damage accumulation.

Modeling of random bimodal structures of composites (application to solid propellants): II. Estimation of effective elastic moduli