Probabilistic multiscale models and measurements of self-heating under multiaxial high cycle fatigue

Poncelet, Martin; Doudard, Cédric; Calloch, Sylvain; Wéber, B.; Hild, François

doi:10.1016/j.jmps.2010.01.003

Cited by 57 publications

(41 citation statements)

References 27 publications

(41 reference statements)

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“…The evolution of the average dissipated energy per cycle W d (determined for the 1 000 th cycle) as a function of the stress amplitude Σ a is plotted in figure 4. As already observed by several authors (Berthel et al, 2007;Mareau et al, 2009;Poncelet et al, 2010), the amount of energy which is dissipated into heat during one loading cycle increases with the stress amplitude. showed that the dissipated energy augmentation is associated with an increase of the plastic activity that can be correlated with the formation of persistent slip bands.…”

Section: Resultssupporting

confidence: 71%

Experimental and numerical study of the evolution of stored and dissipated energies in a medium carbon steel under cyclic loading

Mareau¹,

Cuillerier²,

Morel³

2013

Mechanics of Materials

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractTo obtain robust estimations of the fatigue limit from energy-based fatigue criteria, constitutive laws must include a correct description of the energy balance when modeling the cyclic behavior. The present paper aims at providing a better understanding of the evolution of the energy balance at both microscopic and macroscopic scales in a medium carbon steel. First, an experimental procedure is used to estimate the amount of energy which is either stored in the material or dissipated into heat at a macroscopic scale. The energy balance is observed to be very dependent on the stress amplitude and the number of loading cycles. A model is then developed to investigate the energy balance at a microscopic scale. From the simulation results, both the stored energy and dissipated energy fields are found to be strongly scattered. The dispersion is mostly explained by the crystallographic orientation distribution and the two-phased microstructure.

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Section: Resultssupporting

confidence: 71%

Experimental and numerical study of the evolution of stored and dissipated energies in a medium carbon steel under cyclic loading

Mareau¹,

Cuillerier²,

Morel³

2013

Mechanics of Materials

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“…The fatigue strength can vary from one specimen to another due to the microstructure variability (texture, grain morphology, phase, defect, etc.). To take into account the role of microstructural heterogeneities in multiaxial fatigue prediction, recent models have been developed in a probabilistic framework [3,4]. These models allowed to establish a relation between the microstructure components and the variability of the fatigue behavior using generally the weakest link hypothesis [5,6].…”

Section: Introductionmentioning

confidence: 99%

Statistical assessment of multiaxial HCF criteria at the grain scale

Hor¹,

Saintier²,

Robert³

et al. 2014

International Journal of Fatigue

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. Multiaxial high cycle fatigue modeling of materials is an issue that concerns many industrial domains (automotive, aerospace, nuclear, etc.) and in which many progress still remains to be achieved. Several approaches exist in the literature: invariants, energy, integral and critical plane approaches all of them having their advantages and drawbacks. These different formulations are usually based on mechanical quantities at the micro or mesoscales using localization schemes and strong assumptions to propose simple analytical forms. This study aims to revisit these formulations using a numerical approach based on crystal plasticity modeling coupled with explicit description of microstructure (morphology and texture) and proposes a statistical procedure for the analyses of numerical results in the HCF context. This work has three steps: First, 2.5D periodic digital microstructures based on a random grain sizes distribution are generated. Second, multiaxial cyclic loading conditions corresponding to the fatigue strength at 106 cycles are applied to these microstructures. Third, the mesoscopic Fatigue Indicator Parameters (FIPs), formulated from the different criteria existing in the literature, are identified using the finite element calculations of the mechanical fields. These mesoscopic FIP show the limits of the original criteria when it comes to applying them at the grain scale. A statistical method based on extreme value probability is used to redefine the thresholds of these criteria. These new thresholds contain the sensitivity of the HCF behavior to microstructure attributes. Finally, the biaxiality and phase shift effects are discussed at the grain scale and the loading paths of some critical grains are analyzed.

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“…Parallel to the development of these approaches, recent work by Altus (2006), Morel and Huyen (2008) and Poncelet et al (2010) have made it possible to take into account the role of microstructural heterogeneities in terms of multiaxial fatigue modelling. These models seek to account for the effect of the variability of the mechanical behaviour at the scale of the microstructure, as simply as possible.…”

Section: Introductionmentioning

confidence: 99%

Micro-mechanical modelling of high cycle fatigue behaviour of metals under multiaxial loads

Robert

Saintier

Palin‐Luc

et al. 2012

Mechanics of Materials

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. An analysis of high cycle multiaxial fatigue behaviour is conducted through the numerical simulation of polycrystalline aggregates using the finite element method. The metallic material chosen for investigation is pure copper, which has a Face Centred Cubic (FCC) crystalline microstructure. The elementary volumes are modelled in 2D using an hypothesis of generalised plane strain and consist of 300 equi-probability, randomly oriented grains with equiaxed geometry. The aggregates are loaded at levels equivalent to the average macroscopic fatigue strength at 10 7 cycles. The goal is to compute the mechanical quantities at the mesoscopic scale (i.e., average within the grain) after stabilization of the local cyclic behaviour. The results show that the mesoscopic mechanical variables are characterised by high dispersion. A statistical analysis of the response of the aggregates is undertaken for different loading modes: fully reversed tensile loads, torsion and combined in-phase tension-torsion. Via the calculation of the local mechanical quantities for a sufficiently large number of different microstructures, a critical analysis of certain multiaxial endurance criteria (Crossland, Dang Van and Matake) is conducted. In terms of material behaviour models, it is shown that elastic anisotropy strongly affects the scatter of the mechanical parameters used in the different criteria and that its role is predominant compared to that of crystal plasticity. The analysis of multiaxial endurance criteria at both the macroscopic and mesoscopic scales clearly show that the critical plane type criteria (Dang Van and Matake) give an adequate estimation of the shear stress but badly reflect the scatter of the normal stress or the hydrostatic stress.

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Probabilistic multiscale models and measurements of self-heating under multiaxial high cycle fatigue

Cited by 57 publications

References 27 publications

Experimental and numerical study of the evolution of stored and dissipated energies in a medium carbon steel under cyclic loading

Experimental and numerical study of the evolution of stored and dissipated energies in a medium carbon steel under cyclic loading

Statistical assessment of multiaxial HCF criteria at the grain scale

Micro-mechanical modelling of high cycle fatigue behaviour of metals under multiaxial loads

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