Analysis of Boundary-Value Problems of the Theory of Small Elastoplastic Strains,which Allows for Hydrostatic Stress and Stress Deviator Type

The author considers some versions of the deformation theory of plasticity, which takes into account the influence of hydrostatic stress and stress deviator type on the mechanical properties of a medium for the case of proportional loading. The emphasis is on the generalized statement of a nonlinear boundary-value problem and investigation of its solvability. Conditions have been determined that ensure the existence, uniqueness, and continuous dependence of the generalized solution on the loads applied.__________Translated from Problemy Prochnosti, No. 2, pp. 107 – 135, March – April, 2005