The basic feature of the peridynamics is a continuum description of material behavior as the combined nonlocal force interactions between infinitesimal material points. In opposite to the conventional local elasticity, the peridynamic equation of motion proposed by Silling (J. Mech. Phys. Solids 2000; 48:175-–209) is free of any spatial derivatives of displacement. One analyzes a linearized ordinary state-based peridynamic theory of micromechanics of random structure composite materials (CMs) subjected to the remote volumetric homogeneous boundary conditions. Effective properties are expressed through the introduced local stress polarization tensor averaged over the external interaction interface of inclusions rather than in an entire space. Any spatial derivatives of displacement fields are not required. The basic hypotheses of locally elastic micromechanics are generalized to their peridynamic counterparts. The methods of the solution of GIEs are obtained without any auxiliary assumptions such as the effective field hypothesis (EFH), which is implicitly exploited in the known methods of analytical micromechanics. In particular, in the generalized effective field method (EFM) proposed, the effective field is evaluated from self-consistent estimations of a corresponding general integral equation for random structure CMs. In so doing, the conventional effective field hypothesis is relaxed, and the hypothesis of ellipsoidal symmetry of the random structure CMs is not exploited, whereas the closing hypothesis can be used for multiparticle generality. General representations of second moments of the displacement states are proposed as a straightforward generalization of the corresponding approach in nonlinear local micromechanics. Effective energy-based criteria of nonlinear phenomena in both bond-based and ordinary state-based peridynamic micromechanics are obtained.