Net-section-collapse analysis of circumferentially cracked cylindersÐPart II: idealized cracks and closed-form solutions

This paper (Part II), which is the second in a series of two papers, presents new closed-form solutions for net-section-collapse (NSC) analysis of circumferentially cracked pipes for several idealized crack shapes subjected to combined bending and tension (pressure-induced) loads. They are based on further simpli®cations of generalized NSC equations developed in a parallel study. Analytical solutions were developed for cracks with constant-depth, parabolic, and elliptical shapes. For all three crack shapes, separate equations were developed when the entire crack is subjected to tension and when part of the crack is subjected to compression. For part of the crack subjected to compression, the proposed equations can handle both tight (with crack-closure) and blunt (without crack-closure) cracks. Currently, of the three crack shapes examined in this paper, previous analytical solutions exist only for the constant-depth crack. Hence, they should be useful for pipe fracture analysis involving other crack shapes, such as the elliptical and parabolic cracks. The analytical solutions were validated by numerical analysis based on the generalized NSC equations. # 1998 Elsevier Science Ltd. All rights reserved.