Fully plastic solution for a semi-elliptical surface crack.

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Abstract
To estimate the possibility of LBB (Leak-Before-Break), one of the important design concept for the balance of the safety margin and the economy of the structure, it is necessary to investigate the behavior of the inner surface crack in the structure. In this paper, as the preliminary analysis for LBB of high ductile material, the fully plastic solution of a semi-elliptical surface crack (a/c=0.6, a/t=0.2) in the infinite plate under tension is obtained. Several interesting trends are recognized from the solution obtained. First, the dependence of the elastic stress intensity factor to Poisson's ratio is small in this case. In the second place, as the power hardening exponent increases, the fully plastic solution of J-integral has the tendency to increase steeply with the eccentric angle of the crack.

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