Abstract
An engineering set of equations for the stress intensity factor of mode I surface cracks subjected to a complex stress field is provided here. Stress intensity factors for a semi-elliptical surface crack under various stress distribution were analysed by the body force method (Nisitani H, Murakami Y. Stress intensity factors of an elliptical crack or a semi-elliptical crack subject to tension. International Journal of Fracture 1974;10:353–368). A semi-elliptical crack is assumed on the y- z plane in a semi-infinite body. Various stress fields, on the y- z plane, are assumed, such as constant, linear and parabolic, etc... in the y- and z- direction. The numerical results are arranged in a set of equations as a function of parametric angle, crack depth, crack length, y- order and z- order of the monomials. From that set of empirical equations, the stress intensity factor of a surface crack subjected to a sum of monomials can be easily calculated. A practical example is given.
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