A local estimate of maximum of the module of the deviator of strain tensor in elastic-plastic body with linear hardening

An upper estimate of the module of the deviator of strain tensor at any internal point of an elastic-plastic body is proved. It depends only on $L_2$-norm of the deviator of strain tensor over the domain, occupied by this elastic-plastic body, on $L_p$-norm of the body forces, on parameters of elastic-plastic medium and on the distance to the boundary of the body.