13th International Conference on Fracture June 16–21, 2013, Beijing, China -2- methods are widely employed. The boundary element method (BEM) is one of the most frequently used numerical methods. Its high precision and efficiency make it particularly suitable for fracture analysis. In this paper, the Paris law is used to predict the crack growth-based fatigue life. To calculate the SIF, an efficient indirect boundary element method (IBEM), the spline fictitious boundary element method (SFBEM) [9-16], is adopted to perform the fracture analysis. Numerical examples are presented to illustrate the application of the proposed method. 2. Fracture analysis by SFBEM As a modified IBEM, in SFBEM, nonsingular integral equations are derived rather than singular ones; spline functions with excellent performance are adopted as the trial functions to the unknown fictitious loads; and the boundary-segment-least-square technique is employed for eliminating the boundary residues. Because of these modifications, SFBEM is of high accuracy and efficiency in general. SFBEM was first applied to the solution of static plane elasticity problems [9], and so far it has been extended to multi-domain plane problems [10], orthotropic plane problems [11], plate bending problems [12], elastic fracture problems [13], stochastic elastostatic problems [14, 15] and probabilistic fracture mechanics [16]. In this study, a SFBEM based on the Erdogan fundamental solutions for infinite cracked plates [13, 16] is employed to conduct fracture analysis of linear-elastic cracked structures. As the Erdogan fundamental solutions [17, 18] are derived from an infinite plate containing a crack, when they are used in the formulation of BEM, the stress boundary conditions on the crack surface are automatically satisfied, and the singular behavior at the crack tip can be naturally captured. Therefore, no boundary elements are required to place along the crack surface. In addition, the SIF of the crack problem can be calculated directly from the corresponding fundamental solution of SIF, with no need of transformation from the displacement field around the crack tip, as is normally required in SIF analysis by the other numerical methods. The SFBEM in combination with the Erdogan fundamental solutions has been shown to be more computationally accurate and efficient and thus provides a powerful tool for fracture analysis. x y F S L (2) Ω 2a F(1) X(2) X(1) x y S L Ω 2a F(2) F(1) X(2) X(1) (a) Inner crack (b) Edge crack Figure 1. Plane domain embedded in an infinite plane with a crack
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