Solubility for boundary-value problems in deformation plasticity theory incorporating the stress deviator form

1.	Conditions have been established providing existence and uniqueness for solutions to general boundary-value problems in strain plasticity theory, which incorporates the stress deviator form. An iterative process has been proposed for solving nonlinear boundary-value problems, and optimal convergence-rate bounds have been defined. Conditions have been formulated under which simple loading occurs.
2.	The results are applicable to formally similar problems in creep involving ageing theory with the incorporation of the stress deviator form.

Translated from Problemy Prochnosti, No. 9, pp. 97–107, September, 1988.