MATHEMATICAL MODEL OF THE PROCESSES OF FLOW OF A LUBRICATING LAYER
AND ELASTOPLASTIC DEFORMATION OF A PRODUCT

M. E. Basin and M. G. Boyarshinov

UDC 539.374.2

An original mathematical model for description of the combined 
flow of a viscous lubricating layer and elastoplastic drawing deformation 
of a multilayer product has been developed. The theory of plastic 
flow with linear anisotropic hardening has been used for description 
of the material's behavior. The O. M. Belotserkovskii approach has 
been applied to the determination of the pressure in the lubricating 
layer. The problem of elastoplastic deformation of the product in 
the hydrodynamic-friction regime has been solved using the model developed.

Perm' State Technical University, 29a Komsomol'skii Prospekt, Perm', 
614990, Russia; email: bme@perm.ru. Translated from 
Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 3, pp. 538-547, May-June, 2008. 
Original article submitted August 3, 2006; revision submitted May 17, 2007.