A CA-XFEM for mixed-mode variable-amplitude fatigue crack growth. (August 2021)

• Record Type: Journal Article
• Authors: Karimi, Mohammad; Rouzegar, Jafar
• Is Part Of: Theoretical and applied fracture mechanics. Volume 114(2021)
• Publication Date: 2021-08
• Subjects: Fatigue crack growth -- Extended finite element method -- Combined approximation -- Overload cycles -- Plasticity-induced crack closure; Fracture mechanics -- Periodicals; 620.1126
• DOI: 10.1016/j.tafmec.2021.102979
• Languages: English
• ISSNs: 0167-8442

Abstract

Highlights: The CA-XFEM is utilized for simulation of retardation effect in fatigue crack growth. The mixed-mode variable-amplitude loading is applied to the 2-D problems. The Willemborg model is utilized for modeling the retardation effect. For validation of the method, the numerical results are compared with the experimental data. The effect of ratio and sequence of overload and mixed-mode loading are studied. Abstract: In this research, the extended finite element method (XFEM) in conjunction with the combined approximation (CA) is utilized for estimating the fatigue life of two-dimensional isotropic bodies under variable-amplitude loading. In the proposed method, called CA-XFEM, in addition to the fact that no re-meshing process is required, the crack growth path is determined without the need to solve the whole system of equations which these features significantly reduce computational costs. The Willenborg model is employed for modeling the retardation effect due to the overloads in the load history. For validation of the method, the numerical results are compared with the existing experimental data for a compact tension specimen made of Al 7075-T6 and a compact tension shear specimen made of Al 5083-H111. It is observed that the developed CA-XFEM Matlab code has excellent capability in modeling variable-amplitude fatigue crack propagation considering the retardation effect. Also, the effect of ratio and sequence of overload and mixed-mode overloading on the fatigue crack growth are studied.