General solutions of plane problem for power function curved cracks

作者：Guo Jun hong; Yuan Ze shuai; Lu Zi xing^*

来源：Applied Mathematics and Mechanics (English Edition ), 2011, 32(5): 563-570.

• power function curved crack
• conformal mapping
• Muskhelishvili's complex potential method
• stress intensity factor (SIF)
• plane problem

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.

• 出版日期2011-5
• 单位北京航空航天大学