Гіперсингулярні інтегральні рівняння при числовому моделюванні розвинення тріщин

Abstract

This paper aims to develop advanced numerical methods for analyzing stress in structures containing crack-like defects. The innovative aspect of the proposed research lies in involving hypersingular integral equations to solve a benchmark test. The benchmark test employs both boundary and finite element methods. The investigation involves fatigue analysis under finite amplitude cyclic loading, revealing a significant increase in service life, ensuring successful transportation of the intact structure. However, placing a pennyshaped crack in the zone of maximum stresses results in a notable decrease in the expected service life before failure. For practical applications, short-distance transportation is deemed sufficient, as long-distance transport may induce fatigue crack propagation within the shell, leading to depressurization and eventual failure.