Mode-III Stress Intensity Factor by Williams Element with Generalized Degrees of Freedom

Hua Xu; Lu Feng Yang; Zhen Ping She

doi:10.4028/www.scientific.net/AMR.487.242

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 487Mode-III Stress Intensity Factor by Williams...

Mode-III Stress Intensity Factor by Williams Element with Generalized Degrees of Freedom

Abstract:

Williams series are developed for mode III cracks, based on which the displacement field is defined in the singular region around the crack tip. The Williams element with generalized degrees of freedom (GDOFs) is proposed for analysis of stress intensity factor (SIF) of mode III crack. The SIF at the crack tip can be evaluated analytically by one of the undetermined constants of the Williams element. The influence of the relative length of the crack on the SIF is investigated. Three important parameters for the Williams element, including the radial scale factor, the number of subelements and the terms of the Williams series, are discussed in detail. Numerical example shows that the Williams element is of accuracy and efficiency.

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Periodical:

Advanced Materials Research (Volume 487)

Pages:

242-246

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.487.242

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Online since:

March 2012

Authors:

Hua Xu, Lu Feng Yang, Zhen Ping She

Keywords:

Anti-Plane, Generalized Degrees of Freedom, Mode-III Crack, Stress Intensity Factor (SIF), Williams Element

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