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Report No.
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Closed-form stress intensity factor solutions for deep surface cracks in plates

Azuma, Kisaburo*; Li, Y. ; Hasegawa, Kunio; Xu, S.*

Materials made of alloy 82/182/600 used in light-water reactors are known to be susceptible to stress corrosion cracking. It is known that the depth ${it a}$ of some cracks due to primary water stress corrosion cracking is larger than the half of crack length ${it c}$. The stress intensity factor solution for cracks plays an important role to predict crack propagation and failure. However, Section XI of the ASME Boiler and Pressure Vessel Code does not provide the solutions for cracks with large aspect ratios. In this study, closed-form stress intensity factor influence coefficients for deep surface cracks in plates are discussed. The crack tip stress distribution was represented by a fourth degree polynomial equation. Influence coefficient tables obtained by using finite element analysis in previous studies were used for curve fitting. The closed-form solutions for the coefficient were developed at the surface points, the deepest points, and the maximum points of the cracks with aspect ratios ranged from 1.0 to 8.0.

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