Abstract
Stress intensity factor (SIF) is one of three important parameters in classical linear elastic fracture mechanics (LEFM). The evaluation of SIFs is of great significance in the field of engineering structural and material damage assessment, such as aerospace engineering and automobile industry, etc. In this paper, the SIFs of a central straight crack plate, a slanted single-edge cracked plate under end shearing, the offset double-edge cracks rectangular plate, a branched crack in an infinite plate and a crucifix crack in a square plate under bi-axial tension are extracted by using the p-version finite element method (P-FEM) and contour integral method (CIM). The above single- and multiple-crack problems were investigated, numerical results were compared and analyzed with results using other numerical methods in the literature such as the numerical manifold method (NMM), improved approach using the finite element method, particular weight function method and exponential matrix method (EMM). The effectiveness and accuracy of the present method are verified.
Highlights
In the field of fracture mechanics, the stress field near the crack tip is usually described by the Stress intensity factor (SIF)
In the field of fracture mechanics, the stress field near the crack tip is usually described by the SIFs
This study aimed to provide a simple, direct, and accurate numerical method to extract the SIFs for the single and multiple crack problems
Summary
In the field of fracture mechanics, the stress field near the crack tip is usually described by the SIFs. The XFEM is based on the partition of the unity finite element method, adding the step function and the asymptotic field of crack tip displacement to describe the crack, and has achieved fruitful results in the analysis and research of discontinuous problems such as crack and crack propagation [1,2,3,4,5]. The SIFs for a central straight crack plate, a slanted single-edge crack plate, the offset double-edge cracks in the rectangular plates, a branched crack in an infinite plate and a crucifix crack in a square plate were evaluated using the present method, and compared with the published results using the NMM, improved approach finite element method, particular weight function method and EMM in the literature
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