Fatigue life and crack path predictions in generic 2D structural components

Miranda, Antônio Carlos de; Meggiolaro, Marco Antônio; Castro, Jaime Tupiassú Pinho de; Martha, Luiz Fernando; Bittencourt, Túlio Nogueira

doi:10.1016/s0013-7944(02)00099-1

Cited by 128 publications

(80 citation statements)

References 26 publications

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“…Both the displacement method and the domain integral method are able to accurately predict the stress intensity factor [24]. The displacement method is still widely used [9,26,35], and Guinea, et al [26] question whether the domain integral actually is the most efficient.…”

Section: Energy Release Rate Methodsmentioning

confidence: 99%

“…Several theories have been proposed to choose this path. The three most used [35] are the criteria of maximum tangential (circumferential) stress [36], maximum energy release rate [37] and minimum strain energy density [38]. Other criteria include the criterion of maximum dilatational strain energy density [39] and the criterion of minimum accumulated strain energy [11].…”

Section: Evaluation Of the Direction For Further Crack Growthmentioning

confidence: 99%

“…There is no general agreement about which criterion should be used for a given material, but Bittencourt, et al [24] have shown that the three former criteria predict basically the same crack growth trajectory for poly(methyl methacrylate) (PMMA), which is a brittle material. The criterion of maximum tangential stress is often applied in FEM simulations of fatigue crack growth, because it is simple to implement, as it has an approximate explicit solution for the crack growth direction θ as a function of K I and KII [9,14,35]. To implement the evaluation of the direction for further crack propagation in FE codes is generally not a problem [12].…”

Section: Evaluation Of the Direction For Further Crack Growthmentioning

confidence: 99%

See 2 more Smart Citations

A review of fatigue crack propagation modelling techniques using FEM and XFEM

Rege

Lemu

2017

IOP Conf. Ser.: Mater. Sci. Eng.

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The study of the dissipation heat flow and the acoustic emission during the fatigue crack propagation in the metal A N Vshivkov, A Yu Iziumova, I A Panteleev et al. noAbstract. Fatigue is one of the main causes of failures in mechanical and structural systems. Offshore installations, in particular, are susceptible to fatigue failure due to their exposure to the combination of wind loads, wave loads and currents. In order to assess the safety of the components of these installations, the expected lifetime of the component needs to be estimated. The fatigue life is the sum of the number of loading cycles required for a fatigue crack to initiate, and the number of cycles required for the crack to propagate before sudden fracture occurs. Since analytical determination of the fatigue crack propagation life in real geometries is rarely viable, crack propagation problems are normally solved using some computational method. In this review the use of the finite element method (FEM) and the extended finite element method (XFEM) to model fatigue crack propagation is discussed. The basic techniques are presented, together with some of the recent developments. IntroductionComponents which are subjected to fluctuating loads are found virtually everywhere: Vehicles and other machinery contain rotating axles and gears, pressure vessels and piping may be subjected to pressure fluctuations (e.g. water hammer) or repeated temperature changes, structural members in bridges are subjected to traffic loads and wind loads, while those in ships and offshore structures are subjected to the combination of wind loads, wave loads and currents. If the components are subjected to a fluctuating load of a certain magnitude for a sufficient amount of time, small cracks will nucleate in the material. Over time, the cracks will propagate, up to the point where the remaining cross-section of the component is not able to carry the load, at which the component will be subjected to sudden fracture [1]. This process is called fatigue, and is one of the main causes of failures in structural and mechanical components [2]. In order to assess the safety of the component, engineers need to estimate its expected lifetime. The fatigue life is the sum of the number of loading cycles required for a fatigue crack to nucleate/initiate, and the number of cycles required for the crack to propagate until its critical size has been reached [2,3]. In this paper, computational methods to estimate the lifespan of a propagating crack whose initial geometry is known will be considered.Estimations of the fatigue crack propagation rate, da/dN, are normally based on a relation with the range of the stress intensity factor, ΔK, which is a linear elastic fracture mechanics (LEFM) parameter for quantifying the load and geometry of the crack. Paris, Gomez and Anderson [4] first proposed the existence of such a relation in 1961, and its simplest form is the Paris law [5]:

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Section: Energy Release Rate Methodsmentioning

confidence: 99%

Section: Evaluation Of the Direction For Further Crack Growthmentioning

confidence: 99%

Section: Evaluation Of the Direction For Further Crack Growthmentioning

confidence: 99%

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A review of fatigue crack propagation modelling techniques using FEM and XFEM

Rege

Lemu

2017

IOP Conf. Ser.: Mater. Sci. Eng.

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“…Numerical methods have been widely used to calculate fracture parameters, including the mechanics of linear elastic plastic-fracture (Bouchard et al, 2003), mechanical dynamics and breaking (Réthoré et al, 2005), tiredness (Miranda et al, 2003) and the spread of quasi-static crack (Khoei et al, 2008). Azocar et al (2010) proposed a new method for the simulation of crack propagation in solids (LEFM) (2D).…”

Section: Introductionmentioning

confidence: 99%

A new automated stretching finite element method for 2D crack propagation

Bentahar

Benzaama

Bentoumi

et al. 2017

jtam

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This work presents a study of crack propagation with a new 2D finite element method with the stretching of the mesh. This method affects at each propagation step new coordinates of each element node of the mesh. The structure is divided to areas and each area has its own coordinate formulas. A program in FORTRAN allows us to create a parametric mesh, which keeps the same number of nodes and elements during different steps of crack propagation. The nodes are stretched using the criterion of maximum circumferential stress (MCS). The fracture parameters such as stress intensity factors in modes I and II and the orientation angles are calculated by solving the problem by the finite element code ABAQUS.

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“…Moreover, it specifically handles discontinuities in the domain or boundary of the model. Finally, to enhance the mesh element shape quality, an a posteriori local mesh improvement procedure is used [13]. The crack propagation calculations are described in the next section.…”

Section: Introductionmentioning

confidence: 99%

Propagation Path and Fatigue Life Predictions of Branched Cracks Under Plane Strain Conditions

Meggiolaro

Miranda

Castro

et al.

Fracture of Nano and Engineering Materials and Structures

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Fatigue cracks can significantly deviate from their Mode I growth direction due to the influence of overloads, multi-axial stresses, micro structural inhomogeneities such as grain boundaries and interfaces, or environmental effects, generating crack kinking or branching [1]. The stress intensity factors (SIF) associated to branched fatigue cracks can be considerably smaller than that of a straight crack with the same projected length, causing crack growth retardation or even arrest. This mechanism can quantitatively explain retardation effects even when plasticity induced crack closure cannot be applied, e.g. in high R-ratio fatigue problems under plane strain conditions. Analytical solutions have been obtained for the SIF of some branched cracks, however numerical methods are the only means to predict the subsequent curved propagation behaviour. In this work, a specialized Finite Element program is used to calculate the propagation path and associated SIF of bifurcated cracks. The numerical calculations are validated through experiments on 4340 steel ESE(T) specimens. A total of 6,250 FE calculations are used to fit empirical equations to the process zone size and crack retardation factor along the curved crack branches. The bifurcation simulations include several combinations of bifurcation angles, branch asymmetry ratios, crack growth exponents, and even considers interaction between crack branching and other retardation mechanisms such as crack closure, assuming the crack opening level is well known.

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Fatigue life and crack path predictions in generic 2D structural components

Cited by 128 publications

References 26 publications

A review of fatigue crack propagation modelling techniques using FEM and XFEM

A review of fatigue crack propagation modelling techniques using FEM and XFEM

A new automated stretching finite element method for 2D crack propagation

Propagation Path and Fatigue Life Predictions of Branched Cracks Under Plane Strain Conditions

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