Analytical Solution for the Circular Orifice Problem with Four-Cracks

Lu Guan

doi:10.4028/www.scientific.net/AMM.778.10

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Analytical Solution for the Circular Orifice Problem with Four-Cracks
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 778Analytical Solution for the Circular Orifice...

Analytical Solution for the Circular Orifice Problem with Four-Cracks

Abstract:

Using the method of complex analysis, the paper investigates the plane elasticity problem of circular orifices with four-cracks through conformal mapping, and provides an exact analytical solution for the crack-tip stress intensity factor (SIF). From this we have simulated circular orifices with three-cracks, symmetrical four-cracks, asymmetrical collinear double-cracks, and symmetrical collinear double-cracks; as well as the crack problems of asymmetrical cross-shaped cracks, symmetrical cross-shaped cracks, and T-shaped cracks.

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Periodical:

Applied Mechanics and Materials (Volume 778)

Pages:

10-17

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.778.10

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Online since:

July 2015

Authors:

Lu Guan*

Keywords:

Circular Orifice with Four-Cracks, Complex Analysis, Conformal Mapping, Stress Intensity Factor (SIF)

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