TY  - EJOU
AU  - Buryachenko, V.A. 

TI  - Modeling of Random Bimodal Structures of Composites (Application to Solid Propellants): II. Estimation of Effective Elastic Moduli
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2012
VL  - 85
IS  - 5
SN  - 1526-1506

AB  - 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.
KW  - Microstructures
KW  -  random structures
KW  -  inhomogeneous material
KW  -  effective elastic moduli

DO  - 10.3970/cmes.2012.085.417