Determination of stress intensity factors of 2D fracture mechanics problems through a new semi‐analytical method. Issue 4 (4th December 2015)

• Record Type: Journal Article
• Authors: Khaji, N.; Yazdani, M.
• Is Part Of: Fatigue & fracture of engineering materials & structures. Volume 39:Issue 4(2016:Apr.)
• Page Start: 467
• Page End: 478
• Publication Date: 2015-12-04
• Subjects: decoupled equations -- linear elastic fracture mechanics -- semi‐analytical method -- stress intensity factors -- stress redistribution concept; Materials -- Fatigue -- Periodicals; Fracture mechanics -- Periodicals; 620.1123
• DOI: 10.1111/ffe.12375
• Languages: English
• ISSNs: 8756-758X

Abstract

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.