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Modeling of Random Bimodal Structures of Composites (Application to Solid Propellants): II. Estimation of Effective Elastic Moduli

V.A. Buryachenko1,2
Current address: Micromechanics & Composites LLC, 2520 Hingham Lane, Dayton, OH 45459, USA
IllinoisRocstar LLC, 60 Hazelwood Drive, Champaign, IL 61820, USA

Computer Modeling in Engineering & Sciences 2012, 85(5), 417-446. https://doi.org/10.3970/cmes.2012.085.417

Abstract

We consider a linearly elastic composite medium, which consists of a homogeneous matrix containing a statistically homogeneous set of multimodal spherical inclusions modeling the morphology of heterogeneous solid propellants (HSP). Estimates of effective elastic moduli are performed using the multiparticle effective field method (MEFM) directly taking into account the interaction of different inclusions. Because of this, the effective elastic moduli of the HSP evaluated by the MEFM are sensitive to both the relative size of the inclusions (i.e., their multimodal nature) and the radial distribution functions (RDFs) estimated from experimental data, as well as from the ensembles generated by the method proposed. Moreover, the detected increased stress concentrator factors at the larger particles in comparison with smaller particles in bimodal structures is critical for any nonlinear localized phenomena for HSPs such as onset of yielding, failure initiation, damage accumulation, ignition, and detonation.

Keywords

Microstructures, random structures, inhomogeneous material, effective elastic moduli

Cite This Article

Buryachenko, V. (2012). Modeling of Random Bimodal Structures of Composites (Application to Solid Propellants): II. Estimation of Effective Elastic Moduli. CMES-Computer Modeling in Engineering & Sciences, 85(5), 417–446.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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