  A static peridynamic (proposed by Silling, see J. Mech. Phys. Solids 2000;
48:175--209) composite materials (CMs) of the random and periodic structures
are considered. In the framework of the second background of micromechanics
(also called computational analytical micromechanics, CAM), one proved that
local micromechanics (LM) and peridynamic micromechanics (PM) are formally
similar to each other for CM of both random and periodic structures. It allows
straightforward generalization of LM methods to their PM counterparts. It turns
out that a plurality of micromechanics phenomena [e.g. statistically
homogeneous and inhomogeneous media, inhomogeneous loading (inhomogeneous body
force is included), nonlinear and nonlocal constitutive laws of phases, and
coupled physical phenomena] can be analyzed by one universal tool (called CAM),
which is sufficiently flexible and based on physically clear hypotheses that
can be modified and improved if necessary (up to abandonment of these
hypotheses) in the framework of a unique scheme for analyses of a wide class of
mentioned problems. The schemes of these approaches are considered in the
current paper.
