Analysis of structural failure in fast-spinning small bodies

Small bodies exist widely in the solar system, and plenty of them belong to fast-spinning small bodies. The fast spin of a small body will lead to the principal stress perpendicular to the rotation axis as tensile stress, and the pull-down stress in the very fast spinner will dominate the internal structure of the small body, so the D[sbnd]P yield criterion is no longer applicable. In this paper, considering the yield criterion of tensile stress, the formula of limit cohesion of elastic solid ellipsoid is derived, and the correctness of the formula is verified by comparing the analytical results with the finite element numerical results. The influence of self-gravitation on spinning small bodies is analyzed, and the parameters of the flatness and volume of small bodies are analyzed. This paper also calculates the limit cohesion of yield failure of real small bodies (469219) 2016 HO₃ and (29075) 1950 DA, and analyzes the structural failure modes of small bodies with different grain sizes. Compared to previous analyses of (29075) 1950 DA, this work proposes an alternative result under tensile stress yield criteria.