Open AccessCOMPUTER RESOURCE ANALYSIS OF THIN-WALLED STRUCTURES, WORKING IN AGRESSIVE ENVIRONMENTS
Author(s) -
Л. Д. Луганцев
Publication year - 2021
Publication title -
izvestiâ sankt-peterburgskogo gosudarstvennogo tehnologičeskogo instituta (tehničeskogo universiteta)
Language(s) - English
Resource type - Journals
ISSN - 1998-9849
DOI - 10.36807/1998-9849-2021-58-84-84-91
Subject(s) - interpolation (computer graphics) , resource (disambiguation) , lagrange polynomial , computer science , process (computing) , brittleness , software , fracture mechanics , cauchy distribution , structural engineering , algorithm , materials science , mathematics , polynomial , engineering , mathematical analysis , animation , composite material , computer network , computer graphics (images) , programming language , operating system
The problem of brittle fracture of thin-walled shell structures operating under conditions of combined thermomechanical and corrosive effects is considered. The task solution is based on linear fracture mechanics taking into account plastic deformations in the vicinity of the tip of a developing crack and the impact of an aggressive environment. A mathematical model of the corrosion process was built, an integral part of which is a mathematical model of the corrosion rate of structural material, based on experimental data using Lagrange interpolation polynomials. A numerical method for solving the problem is proposed. To determine the available resource and the parameters of the state of the structures under consideration, a step-by-step method is used, followed by refinement using the dichotomy method. At each step of the computational process, the Cauchy problem is solved for the main system of differential equations. The proposed method for solving the problem is implemented in the form of software. The results of a computer study of the bearing capacity and resource of a typical design of a chemical apparatus body are presented.