Multiparticle Effective Field and Related Methods in Micromechanics of Random Structure Composites

The outline of this charter is as follows. In Section 8.1 we present the main hypotheses of the proposed MEFM for the approximate solution of a generalization of the infinite system of integral equations under arbitrary choice of comparison medium. In Section 8.2 the MEFM is proposed for the estimation of effective properties (such as compliance, thermal expansion, stored energy) and the first statistical moments of stresses in the components under arbitrary choice of comparison medium. In Section 8.3 one considers in detail the connection of the method proposed with the mean field method. Explicit analytical representations are presented for composites with spheroidal inclusions.