Fatigue crack growth simulations of 3-D problems using XFEM

Pathak, Himanshu; Singh, Akhilendra; Singh, I.V.

doi:10.1016/j.ijmecsci.2013.09.001

Cited by 95 publications

(34 citation statements)

References 48 publications

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“…XFEM were used to calculate SIF, performed crack growth analysis without updating the mesh [8]. The fatigue crack propagation of interface cracks in two-layer materials were studied using XFEM [9], as well as various three-dimensional planes, and non-planar and arbitrary shapes' fatigue crack propagation simulation [10]. Homogenized XFEM method is proposed to evaluate the fatigue life of edge-fractured plates in the presence of discontinuities [11].…”

Section: Introductionmentioning

confidence: 99%

The numerical simulation of fatigue crack propagation in Inconel 718 alloy at different temperatures

Duan

Chen

2020

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Inconel 718 alloy is the most commonly used material of aero-engine turbine today. However, Inconel 718 alloy is known to suffer from the fatigue crack propagation during engine operation, which will lead to unstable fracture and seriously threatens the safety of the engine. In this paper, we research the fatigue crack propagation process of Inconel 718 alloy unilateral notched standard CT specimen at room temperature (298.15 K), 573.15 K, and 823.15 K under the type I cyclic fatigue load. The ABAQUS is used for numerical simulation. First, parametric models are established. Second, the extended finite-element method (XFEM) is used to in the calculation process for describing the crack state. Third, the stress intensity factor at the crack tip under different temperatures is calculated, and the extended finite-element crack length is solved to obtain the fatigue crack growth rate da/dN curve. The innovation is we use the XEFM method to predict the fatigue crack growth process of Inconel 718 alloy, and compare it with the test results to verify the reliability of the XEFM method under low stress intensity factor. We also provide some possible reasons for the error of XEFM results under high stress intensity factors, and the development of simulation methods should be emphasized.

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Section: Introductionmentioning

confidence: 99%

The numerical simulation of fatigue crack propagation in Inconel 718 alloy at different temperatures

Duan

Chen

2020

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“…However, the LEFM crack tip enrichments and the J‐integral are invalid for elastic‐plastic materials. Therefore, the models presented in the works of Singh et al and Pathak et al cannot readily be extended by simply using an elastic‐plastic material around the crack to capture the effects of overloading. The XFEM can also be used with a cohesive zone (CZ) approach instead of with crack tip enrichment .…”

Section: Introductionmentioning

confidence: 99%

“…To deal with mixed-mode scenarios for which the crack growth direction is not known a priori, the extended finite element method (XFEM) has been used in fatigue crack propagation models. 8,9 In these models, crack tip enrichments following from LEFM are applied to capture the strain field around the crack tip. Furthermore, the J-integral 10 is used to calculate the SIF, which is coupled to the crack growth rate by means of a modified Paris equation.…”

Section: Introductionmentioning

confidence: 99%

A cohesive XFEM model for simulating fatigue crack growth under mixed‐mode loading and overloading

Dekker

Meer

Maljaars

et al. 2019

Numerical Meth Engineering

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Summary Structures are subjected to cyclic loads that can vary in direction and magnitude, causing constant amplitude mode I simulations to be too simplistic. This study presents a new approach for fatigue crack propagation in ductile materials that can capture mixed‐mode loading and overloading. The extended finite element method is used to deal with arbitrary crack paths. Furthermore, adaptive meshing is applied to minimize computation time. A fracture process zone ahead of the physical crack tip is represented by means of cohesive tractions from which the energy release rate, and thus the stress intensity factor can be extracted for an elastic‐plastic material. The approach is therefore compatible with the Paris equation, which is an empirical relation to compute the fatigue crack growth rate. Two different models to compute the cohesive tractions are compared. First, a cohesive zone model with a static cohesive law is used. The second model is based on the interfacial thick level set method in which tractions follow from a given damage profile. Both models show good agreement with a mode I analytical relation and a mixed‐mode experiment. Furthermore, it is shown that the presented models can capture crack growth retardation as a result of an overload.

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“…In crack front elements, the level set functions are approximated by higher order shape functions which assure the accurate modeling of the crack front. Later, they applied the method to model fatigue crack growth simulations of 3-D problems [36,37].…”

Section: Introductionmentioning

confidence: 99%

3-D local mesh refinement XFEM with variable-node hexahedron elements for extraction of stress intensity factors of straight and curved planar cracks

Wang

Bui

et al. 2017

Computer Methods in Applied Mechanics and Engineering

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. analysts to gain a desirable accuracy with a few trials, which is suited for practices purpose.

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Fatigue crack growth simulations of 3-D problems using XFEM

Cited by 95 publications

References 48 publications

The numerical simulation of fatigue crack propagation in Inconel 718 alloy at different temperatures

The numerical simulation of fatigue crack propagation in Inconel 718 alloy at different temperatures

A cohesive XFEM model for simulating fatigue crack growth under mixed‐mode loading and overloading

3-D local mesh refinement XFEM with variable-node hexahedron elements for extraction of stress intensity factors of straight and curved planar cracks

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