| Abstract: | A generalized self-consistent method 1, 2] is developed and applied to the boundary-value problems of composites with random
elastic properties of inclusions. The approach suggested makes it possible to allow for a random mutual arrangement, statistical
dispersion of elastic properties and sizes of the inclusions, and their mutual correlation in terms of special homogenized
indicator functions. For comparison, the analytical solutions and those obtained from a corresponding sequence of H+1 (H=0,1,…)
linked homogenized problems of the self-consistent method for the strain distribution in the inclusions and for the tensor
of effective elastic properties of the composite are given. A numerical calculation of the effective transversely isotropic
elastic characteristics for a unidirectional polydisperse fibrous composite is also presented.
Translated from Mekhanika Kompozitnykh Materialov, Vol. 36, No. 1, pp. 33–58, January–February, 2000. |
