The effects of orientation and shape of filler particles on the elastic properties of composites have been analyzed. The elastic constants of a composite with irregularly oriented filler particles were calculated by using the method of orientational averaging of the properties of a representative structural element. The elastic constants of the structural element were found according to a known generalized Eshelby solution for a finite concentration of ellipsoidal inclusions. The diagrams of elasticity anisotropy for a transversely isotropic structural element and an orthotropic composite with irregularly oriented inclusions are presented. A quantitative estimate for the degree of anisotropy of elastic properties of composites is suggested. Data on the influence of shape anisometry of inclusions on the anisotropy coefficient of filled composites are also reported.
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 45, No. 4, pp. 507–524, July–August, 2009.
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Lagzdins, A., Maksimov, R.D. & Plume, E. Anisotropy of elasticity of a composite with irregularly oriented anisometric filler particles. Mech Compos Mater 45, 345–358 (2009). https://doi.org/10.1007/s11029-009-9096-3
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DOI: https://doi.org/10.1007/s11029-009-9096-3