Abstract
This work presents an extension of the displacement fitting technique for the assessment of stress intensity factors (SIFs) of three-dimensional linear elastic fracture problems using the dual Boundary Element Method. The developed framework accounts for higher-order terms of the asymptotic displacement solution near crack front. The number and location of points surrounding the crack front are properly defined in order to accurately evaluate the SIFs. Three-dimensional benchmarks demonstrate the efficiency of the proposed framework. Moreover, two different fracture criteria illustrate the influence of SIFs values with respect to the crack propagation angle and equivalent factors calculations. The proposed higher-order technique has demonstrated superior performance in comparison with the conventional displacement fitting technique.
Highlights
The structural modelling of cracked materials has major importance for the mechanical integrity assessment
This study presented the extension of the Displacement Fitting Technique (DFT) for stress intensity factors (SIFs) assessment in threedimensional linear elastic fracture mechanics (LEFM) problems
The higher-order terms of the asymptotic near crack front solutions were accounted into the fitting scheme and lead to accurate SIFs results in comparison with the classical first order correlation techniques, which is largely applied in the literature
Summary
The structural modelling of cracked materials has major importance for the mechanical integrity assessment. Gonzalez et al (2015) proposed a variation of the displacement correlation technique for two-dimensional problems, which has been named as displacement fitting technique (DFT) This technique incorporates higher-order terms of the displacement asymptotic solutions near the crack front. Some studies in the literature report responses instabilities of displacement correlation/fitting techniques (Cordeiro and Leonel, 2019), which can be largely dependent on the extraction points This subject is handled in the present study and a parametric analysis suggests the better positions for extracting SIFs. The present study extends the DFT proposed by Gonzalez et al (2015) for three-dimensional fracture problems. The implementation aspects, as well as numerical stability features, are properly discussed
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