Abstract
A finite element procedure has been established to calculate stress intensity factors from the displacements along an arbitrary crack tip radial line for a flaw with curved crack lines under mixed mode loadings. The quarter point crack tip singular element [1] makes any general purpose finite element program with proper elements a powerful tool for the stress intensity factor calculation of a complex geometry. This finite element has made the once formidable task of stress intensity factor calculation of the linear elastic fracture mechanics a simple stress analysis problem even for fully mixed mode three-dimensional geometries [2]. The most popular method to calculate the stress intensity factors using this crack tip singular element is to convert the crack line displacement solutions utilizing the analytical crack tip displacement expressions on a binormal plane of a crack front point (Figure 1). For a Mode I problem, therefore, the relationship between KI and nodal displacements in this conversion method is nothing but that of KI and the crack opening displacement.
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