General Solutions of Plane Problem for Power Function Curved Cracks

GUO Jun-hong; YUAN Ze-shuai; LU Zi-xing

doi:10.3879/j.issn.1000-0887.2011.05.003

Volume 32 Issue 5

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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

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General Solutions of Plane Problem for Power Function Curved Cracks

doi: 10.3879/j.issn.1000-0887.2011.05.003

Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. China

Received Date: 2010-12-09
Rev Recd Date: 2011-03-15
Publish Date: 2011-05-15

Abstract

Abstract

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.
- power function curved crack,
- conformal mapping,
- Muskhelishvili’s complex potential method,
- SIFs,
- plane problem

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References(10)

References

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