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

Abstract:

A new triangular Williams element with generalized degrees of freedom (GDOFs) was proposed for analysis of stress intensity factor (SIF) of mode II crack. The singular region around the crack tip was evenly divided into a series of triangular elements, which could be approximated by the improved Williams series. On the basis of the principle, the displacement of local field must be compatible with that of the global one, so that the SIF at the crack tip can be directly evaluated by one of the undetermined constants of the Williams series. Three important parameters for the triangular Williams element, including the radial scale factor, the number of subelements and the terms of the Williams series, were discussed in detail. Numerical example shows that the triangular Williams elements with GDOFs can directly calculate the mode II SIF with high accuracy and efficiency.

• Periodical: Applied Mechanics and Materials (Volumes 204-208)
• Pages: 4391-4395
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.204-208.4391
• Online since: October 2012
• Authors: Hua Xu, Lu Feng Yang
• Keywords: Generalized Degrees of Freedom, Mode-II Crack, Stress Intensity Factor (SIF), Triangular Williams Element

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