Computational modeling of cracks different forms in three-dimensional space

All celestial bodies have defects in the form of cracks. Some of the bodies are large. Colliding with such objects can be dangerous. Therefore, the problem of grinding such bodies remains very urgent. In order to avoid large financial costs, you need to know where to strike in order to achieve the greatest effect. This paper studies the behavior of internal defects under various loads. A three-dimensional elastic medium weakened by a system of plane parallel cracks was examined in this study. A method of boundary elements called the method of discontinuous displacements, was chosen as the numerical method. The advantage of this method is that only the crack boundary is divided into elements, which allows the use of a small (compared to other numerical methods) amount of computer memory. The code was implemented in C ++. The interaction of two circular cracks was investigated depending on the size of the cracks and their relative locations. Calculating the singular integral is required when solving problems involving one crack. In case of several cracks, such integrals are not analytically incalculable. In this study, we present a method that does not require the calculation of singular integrals.

Automated summary

This study investigates the behavior of internal defects in celestial bodies, focusing on the impact of cracks under various loads. A boundary element method was used to numerically analyze the cracks, presenting a method that does not require the calculation of singular integrals.