Fatigue crack-tip plasticity revisited — The issue of shape addressed

Harmain, G.A.; Provan, J. W.

doi:10.1016/s0167-8442(96)00036-5

Cited by 33 publications

(22 citation statements)

References 30 publications

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“…The CPZ correction factor (λ l ) for metals varies from 0.05 to 0.18 [35][36][37][38] approximately two to six times less compared with DRMMCs (λ = 0.3838). Further, the high strain at the crack tip alters CPZ size and correction factor.…”

Section: R E S U L T Smentioning

confidence: 99%

Influence of residual thermal stresses on fatigue crack growth life of discontinuous reinforcements in metal matrix composites

Tevatia

Srivastava

2016

Fatigue Fract Eng Mat Struct

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The fatigue life prediction model based on crack propagation from micro‐structural features is derived and presented for planar and randomly oriented Discontinuous Reinforced Metal Matrix Composites (DRMMCs). The model contains the influence of micro‐structural properties such as aspect ratio, volume fraction of particle/fibre and constraint between particle and the matrix. The effect of residual thermal stresses generated within the matrix during development of composite is considered. The particle/fibre plays a dominant role in the development of the cyclic plastic zone size ahead of the crack tip; moreover, it enhances the cyclic plastic deformation characteristics of DRMMC. The theoretical model‐based evaluations for low cycle fatigue in DRMMCs are within the proximity of the experimental results.

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Section: R E S U L T Smentioning

confidence: 99%

Influence of residual thermal stresses on fatigue crack growth life of discontinuous reinforcements in metal matrix composites

Tevatia

Srivastava

2016

Fatigue Fract Eng Mat Struct

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“…Comparisons of numerical computations have been performed with the experimental work of Kumar [24], Goel and Chand [5] with provision for PSS, and PSN conditions for various overload ratios. The retardation factor for fatigue retardation problems has been obtained based on the concept of plasticity-affected ranges, as is discussed in recent works of Harmain and Provan [25][26][27][28][29] and Harmain [30][31]. The shape of the plasticity zones is taken into account and critical dimension of this zone as regards fatigue retardation problems is the plasticity affected range and has been incorporated in the new model.…”

Section: Objectives For Model For Single and Block Overloadsmentioning

confidence: 99%

“…There are several choices available for f(ΔK eff ) i ; however, this study will be restricted to the Paris law for FCGR [25][26][27][28][29][30][31][32]. At the eve of application of an Over Load (OL), the value of the maximum stress intensity factor K CAL max is known from the loading history.…”

Section: Cumulative Fatigue Damage Calculationsmentioning

confidence: 99%

“…Fatigue crack closure with OL has been evaluated based on plasticity range interaction in conjunction with the crack closure effects under CAL. The model is composed of three regions, i) a linear elastic region with a fictitious crack length of a + r f where a is the crack length, and r f is the forward plasticity affected range, The magnitude of r ƒ depends on plastic constraint coefficient [25][26][27][28][29][30][31]. From the information presented in [25], an estimate for the plasticity-affected range f r immediately ahead of the crack-tip is: η = 0.0 for PSS and η = ν is for PSN situation.…”

Section: Cumulative Fatigue Damage Calculationsmentioning

confidence: 99%

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A simulation study on fatigue with single and block overloads

Harmain

Qureshi

2010

Trans Indian Inst Met

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An investigation into crack retardation behavior for variable magnitude single overloads and block overloads is conducted on some aluminum alloys. Plasticity zone interactions and plasticity induced crack closure has been used to obtain fatigue crack growth rates in the simulation study of this investigation. The relationship between Over Load Ratio (OLR) and retardation parameter is developed and provides an insight into nonlinear behavior of overloads on fatigue growth. Thus, the lacunae in Wheeler's model pertaining to single overload applications and block overloads are addressed from the viewpoint of dependence of retardation phenomenon on the magnitude of overload ratio. The importance of introduction of overload ratios in the governing equations is emphasized. Thorough calibrations have been performed with the experimental results from various sources in open literature and the model is capable of simulating fatigue crack growth, delay cycles due to single over load and block overloads and the fidelity of the model is established. The predictions on number of delay cycles, Fatigue Crack Growth (FCG) and Fatigue Crack Growth Rate (FCGR) of the model are representative retardation behavior and agree with the experimental data. The computational analysis of load-interaction effects on fatigue crack growth is presented. The model shows that a combined effect of plasticity and crack closure is a controlling mechanism of crack growth for single overload and block overload problems. Model development is presented in Fig. 1 and some plasticity zones are given in Fig. 2, while other results obtained are provided in Figs.3, 4, 5 and 6.

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“…The earliest theoretical works on plastic zone shape around crack tips were provided by Irwin and Dugdale . Harmain and Provan also predicted plastic zone shape around the tips of a mode I crack in isotropic materials using Tresca criterion under plane stress and strain conditions. Banks and Garlick and Guerra‐Rosa et al analytically predicted the plastic zone boundary or locus under plane stress and plane strain conditions using the Mises yield criterion.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the plastic zone near the crack tips under the uniaxial tension using ordinary state‐based peridynamics

Zhou

Shou

Berto

2017

Fatigue Fract Eng Mat Struct

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In this paper, the plastic model of ordinary state‐based peridynamics is established. The size and shape of plastic zone around crack tips with the different inclination angles are simulated using ordinary state‐based peridynamics. Comparison of the size and shape of plastic zone around the crack tips obtained from peridynamic solution and analytic solution is made. It is found that the relative errors between the analytical and peridynamic solution are very little. Therefore, it is feasible to predict the plastic zone around crack tips using ordinary state‐based peridynamics.

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Fatigue crack-tip plasticity revisited — The issue of shape addressed

Cited by 33 publications

References 30 publications

Influence of residual thermal stresses on fatigue crack growth life of discontinuous reinforcements in metal matrix composites

Influence of residual thermal stresses on fatigue crack growth life of discontinuous reinforcements in metal matrix composites

A simulation study on fatigue with single and block overloads

Analysis of the plastic zone near the crack tips under the uniaxial tension using ordinary state‐based peridynamics

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