Bauschinger effect of alloys and plasticity‐induced crack closure: a finite element analysis

Pommier, Éric; Bompard,

doi:10.1046/j.1460-2695.2000.00259.x

Cited by 107 publications

(78 citation statements)

References 17 publications

(22 reference statements)

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“…Since then, a substantial body of research work has been carried out to study the crack tip mechanics in order to shed light on the controlling parameter of crack propagation, which includes the wellknown Hutchinson-Rice-Rosengren (HRR) field for power-law hardening materials and the RR (Riedel and Rice, 1980) and the HR (Hui and Riedel, 1981) fields for power law creep materials. Crack growth simulation has also been extensively carried out to study the crack growth pattern and the crack-tip plasticity using the finite element method with cyclic plasticity and/or creep models (e.g., Sehitoglu and Sun, 1991;Pommier and Bompard, 2000;Zhao et al, 2001;Tvergaard, 2004).…”

Section: Introductionmentioning

confidence: 99%

A viscoplastic study of crack-tip deformation and crack growth in a nickel-based superalloy at elevated temperature

Tong

2008

Journal of the Mechanics and Physics of Solids

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Citation: ZHAO, L. and TONG, J., 2008. A viscoplastic study of crack-tip deformation and crack growth in a nickel-based superalloy at elevated temperature. Journal of the Mechanics and Physics of Solids, 56 (12), Additional Information:• This is the author's version of a work that was accepted for publication in the Journal of the Mechanics and Physics of Solids. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subse- AbstractViscoplastic crack tip deformation behaviour in a nickel-based superalloy at elevated temperature has been studied for both stationary and growing cracks in a compact tension (CT) specimen using the finite element method. The material behaviour was described by a unified viscoplastic constitutive model with non-linear kinematic and isotropic hardening rules, and implemented in the finite element software ABAQUS via a userdefined material subroutine (UMAT). Finite element analyses for stationary cracks showed distinctive strain ratchetting behaviour near the crack tip at selected load ratios, leading to progressive accumulation of tensile strain normal to the crack growth plane.Results also showed that low frequencies and superimposed hold periods at peak loads significantly enhanced strain accumulation at crack tip. Finite element simulation of crack growth was carried out under a constant ∆K-controlled loading condition, again ratchetting was observed ahead of the crack tip, similar to that for stationary cracks.A crack growth criterion based on strain-accumulation is proposed where a crack is assumed to grow when the accumulated strain ahead of the crack tip reaches a critical value over a characteristic distance. The criterion has been utilised in the prediction of crack growth rates in a CT specimen at selected loading ranges, frequencies and dwell periods, and the predictions were compared with the experimental results.

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Section: Introductionmentioning

confidence: 99%

A viscoplastic study of crack-tip deformation and crack growth in a nickel-based superalloy at elevated temperature

Tong

2008

Journal of the Mechanics and Physics of Solids

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“…3). One possible definition of the opening is provided in [15]. The opening point is defined as the intersection between the plot with a vertical line displaced by 1.5% of the maximum COD DIC,pl .…”

Section: Application To A4t Railway Steelmentioning

confidence: 99%

LCF and crack growth: recent results obtained by DIC

2018

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Abstract. Nowadays, several components for aerospace and energy applications (i.e., turbine disks, offshore pipelines, and combustor chambers) are designed following a safe-life approach in the low cycle fatigue (LCF) regime. As also in the LCF regime it is worth adopting a damage tolerance design, fatigue life is assessed considering a crack propagating from the first load cycle, starting from an initial defect present in the component's most-stressed region or from a microstructural feature. In this frame, fatigue crack growth is described considering LCF conditions, where the driving force at the crack tip can be described with the ΔJ eff parameter. The paper aims to give an overview of the potential applications and perspectives for the adoption of digital image correlation (DIC) measurements to study LCF nucleation and propagation. A visual technique based on the DIC displacement fields was developed to measure crack opening and closing levels in the presence of large strains. The technique is applied to different materials (steels, AlSi10Mg, nickel-based super-alloys). In addition, further applications of the DIC strain measurements are revised for the study of the nucleation stage and the crack tip process zone.

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“…Unfortunately, although it is assumed that PICC is induced by crack tip cyclic plastic behaviour, most of the published studies on the numerical simulation of crack closure neglect actual metal hardening behaviour and model the stress-strain response of these materials as elastic-perfectly plastic [28,56] or bi-linear [21,32,42]. Several numerical studies employed material constitutive relationships that even ignore kinematic hardening [23,24,57] or simply consider pure isotropic or pure kinematic hardening material models [20,58]. Numerical simulation studies considering mixed hardening behaviour are still rare.…”

Section: Materials Modelmentioning

confidence: 99%

“…The second load cycle slightly deforms the fracture surface, reducing the closure level. Therefore at least two load cycles between each crack increment must be applied [20,30,38].…”

Section: Effect Of the Number Of Load Cycles Nlcmentioning

confidence: 99%

Numerical simulation of plasticity induced crack closure: Identification and discussion of parameters

Antunes

Rodrigues

2008

Engineering Fracture Mechanics

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Numerical studies play a major role in the understanding and prediction of plasticity induced crack closure (PICC). However, the available numerical models can be considered simplifications of reality as they consider discrete crack propagations, relatively high fatigue crack growth rates (FCGR), sharp cracks, and propagation occurring at well-defined loads. Besides, there are a great number of numerical and physical parameters affecting the predictions of PICC. The aim of this paper is to discuss the numerical study of PICC. The numerical parameters affecting the accuracy of the numerical simulations, and the dependent parameters used to characterise the plastic wake and the closure level, are identified. The influence of the radial size of crack front elements and crack propagation is analysed. An extrapolation model is proposed, with excellent results. An intrinsic uncertainty is associated with the number of load cycles between crack increments and the definition of crack closure level. Finally, the effect of the stress ratio (R) on crack closure level is analysed.

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Bauschinger effect of alloys and plasticity‐induced crack closure: a finite element analysis

Cited by 107 publications

References 17 publications

A viscoplastic study of crack-tip deformation and crack growth in a nickel-based superalloy at elevated temperature

A viscoplastic study of crack-tip deformation and crack growth in a nickel-based superalloy at elevated temperature

LCF and crack growth: recent results obtained by DIC

Numerical simulation of plasticity induced crack closure: Identification and discussion of parameters

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