GUO Jun-hong, YUAN Ze-shuai, LU Zi-xing. General Solutions of Plane Problem for Power Function Curved Cracks[J]. Applied Mathematics and Mechanics, 2011, 32(5): 533-540. doi: 10.3879/j.issn.1000-0887.2011.05.003
 Citation: GUO Jun-hong, YUAN Ze-shuai, LU Zi-xing. General Solutions of Plane Problem for Power Function Curved Cracks[J]. Applied Mathematics and Mechanics, 2011, 32(5): 533-540.

# General Solutions of Plane Problem for Power Function Curved Cracks

##### doi: 10.3879/j.issn.1000-0887.2011.05.003
• Rev Recd Date: 2011-03-15
• Publish Date: 2011-05-15
• A new, exact and universal conformal mapping was proposed. Using the Muskhelishvili's complex potential method, the plane elasticity problem of power function curved cracks with an arbitrary power of natural number was investigated and the general solutions of stress intensity factors (SIFs) for mode Ⅰ and mode Ⅱ at the crack tip were obtained under the remotely uniform tensile loads. The present results can be reduced to the well-known solutions when the power of power function is prescribed to different natural numbers. Numerical examples are conducted to reveal the effects of opening orientation, opening size, power and projected length along x-axis of the power function curved crack on the SIFs for mode Ⅰ and mode Ⅱ.
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