On the Evolution Theory of Identification of Mathematical Models of Corrosion Destruction at the Optimum Design of Structures

• Published in: Mechanics, Materials Science & Engineering Journal
• Main Author: Filatov, George
• Format: Journal Article
• Language: English
• Published: Magnolithe 2015
• Subjects: Engineering Sciences; Materials; Mathematics; Optimization and Control; Optimal design of structures; mathematical modeling of corrosion damage; identification of mathematical models
• ISSN: 2412-5954
• DOI: 10.13140/RG.2.1.1192.8088

The process of optimal design of structures, interacting with aggressive environments, can be viewed as a process of design evolution from suboptimal to optimal state. In most cases, the control variables are taken as the geometric design parameters. When designing the structure during the search of the optimal solutions of these parameters change during the transition from one structure to another intermediate state. And changing the geometrical characteristics of cross-sectional structure characterizing their stiffness, such as the area and inertia moment of the cross sections. Changing the geometrical characteristics of the cross-sections results in a change in stress and strain in the construction. Thus, it can be argued that in the process of design evolution at its optimal design of the stress-strain state (SSS) of the structure varies depending on its stiffness. Natural to assume that a change in the SSS design values of the coefficients that characterize the impact of SSS on the rate of corrosion process, and are subject to change and become functions of SSS. To test this hypothesis, we studied the theoretical aspects of the behavior of mathematical models of corrosion damage at the optimal design of structures and performed extensive numerical experiment on a computer. The experiment was conducted using four objects: membrane cylindrical shell loaded by internal pressure, smooth cylindrical shell compressed in the axial direction, statically determinate beams with rectangular cross-section, statically determinate beams welded I-section.