Reduction and sintering are complicated processes demanding use of mathematical modelling - consolidation of multicomponent materials. The most representative of them are products formed during consolidation during sintering of powders. They have common physical and chemical characteristics both from the viewpoint of initial (multicomponent) materials, and from the viewpoint of technological parameters. Such processes simultaneously involve both the reduction and the sintering with simultaneous consolidation of particles into materials. The sintering of powders of crystals is a flexible and effective way of production of polycrystalline composite materials with a given structure and properties. In this paper a mathematical model of the process of sintering suggested by us is considered.