Mathematical modeling of contact problems of plastic flow

The nonstationary space contact problems of plastic flow in the comparatively thin layer between surfaces of external bodies have been analysed in the present paper. Earlier encountered in mathematical modeling peculiarities characterized for considered processes (as the slipping of layer material along contact, high - comparatively with shears - contact pressures, normal elastic movements commensurable with thickness of the layer, the formation of hardened layers near contact) are noted. Other characterized peculiarities, such as the property of anisotropy of friction forces on contact, the possibility of preserving the intermediate lubricant volumes on contact and contact friction faces control, the influence of initial nonhomogeneity on the formation of plastic flow are also considered. In each caw the induced qualitative effects by them are represented.