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- Title
Determination of stress intensity factors of 2D fracture mechanics problems through a new semi-analytical method.
- Authors
Khaji, N.; Yazdani, M.
- Abstract
This study presents a novel development of a new semi-analytical method with diagonal coefficient matrices to model crack issues. Accurate stress intensity factors based on linear elastic fracture mechanics are extracted directly from the semi-analytical method. In this method, only the boundaries of problems are discretized using specific subparametric elements and higher-order Chebyshev mapping functions. Implementing the weighted residual method and using Clenshaw-Curtis numerical integration result in diagonal Euler's differential equations. Consequently, when the local coordinates origin is located at the crack tip, the stress intensity factors can be determined directly without further processing. In order to present infinite stress at the crack tip, a new form of nodal force function is proposed. Validity and accuracy of the proposed method is fully demonstrated through four benchmark problems, which are successfully modeled using a few numbers of degrees of freedom. The numerical results agree very well with the analytical solution, experimental outcomes and the results from existing numerical methods available in the literature.
- Subjects
SURFACE cracks; STRENGTH of materials; FRACTURE mechanics; STRUCTURAL failures; MATERIAL fatigue
- Publication
Fatigue & Fracture of Engineering Materials & Structures, 2016, Vol 39, Issue 4, p467
- ISSN
8756-758X
- Publication type
Article
- DOI
10.1111/ffe.12375