Naumenko N. Adaptation of models of support-elements of decision of tasks of structural mechanics of plane-stressed plates.

We have developed new mathematical models of durability analysis and optimum design of plane-stressed constructions, operated not only under load but also in corrosive media. We have offered and substantiated an effective algorithm for calculating the construction's state of stress and deformation, along with its durability. The algorithm is based on semi-analytical solution of Cauchy problem for differential equation systems describing the corrosion process. We have obtained the solutions of the durability problem for plane-stressed plates under corrosion. In terms of thickness function continuity throughout the construction. We have offered models of weight optimization problems in plane-stressed constructions subject to corrosion under time limitations.