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A new exact and universal conformal mapping is proposed. Using Muskhelishvili's complex potential method, the plane elasticity
problem of power function curved cracks is investigated with an arbitrary power of a natural number, and the general solutions
of the stress intensity factors (SIFs) for mode I and mode II at the crack tip are obtained under the remotely uniform tensile
loads. The present results can be reduced to the well-known solutions when the power of the function takes different natural
numbers. Numerical examples are conducted to reveal the effects of the coefficient, the power, and the projected length along
the x-axis of the power function curved crack on the SIFs for mode I and mode II. 相似文献
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