Abstract
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.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
