Аннотация:The present study is devoted to the problem of optimal loading pressure computing by the prescribed displacements vector. The mathematical model of finite elastocreep deformations is used. The boundary value problem of residual stresses forming in microdefect material was considered. Integro-differential equations for the external pressure, irreversible deformations and displacements were derived. The optimization algorithms for this problem was proposed. The optimal strain-stress state parameters were computed and analyzed.