ABOUT THE FEATURES OF MATHEMATICAL IDENTIFICATION MODELS OF CORROSION DESTRUCTION AT THE OPTIMUM DESIGN OF STRUCTURES

George Filatov

Doctor of Technical Sciences, Professor of Materials Science Department, Ukrainian State University of Chemical Technology, Dnepropetrovsk, Ukraine, e-mail: filatovgv@mail.ru

Abstract. At the optimum design the structure is experiencing an evolution from suboptimal to optimal state in accordance with a predetermined criterion of optimality. In this case, changing the geometric and stiffness design parameters and its stress-strain state (SSS). To describe the behavior of structures in aggressive environments commonly used mathematical models of corrosion damage. The coefficients of the models that take into account the impact of SSS in the evolution of design changes and this leads to the need to apply the procedure of identification of multiple models, which makes it difficult to find the optimal solutions. In this paper given a theorem of "optimal" coefficients that take into account the impact of SSS on the corrosion rate, and methods of their determination. The presence of "optimal" ratios significantly reduces the impact of SSS losses for the search and a more efficient solution of the optimization problem.

Keywords: optimal design, mathematical modeling, nonlinear programming, corrode.