Continuity in the plastic strain rate and its influence on texture evolution

Mach, Justin; Beaudoin, Armand Joseph; Acharya, Amit

doi:10.1016/j.jmps.2009.11.005

Cited by 26 publications

(25 citation statements)

References 43 publications

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“…Such a description is consistent with the experimental evidence of long-range spatial correlations across grain boundaries [23]. Remarkably, it provides for "tangential continuity conditions" on the elastic distortion from the balance of lattice incompatibility across the interface, regardless of Hadamard's compatibility conditions [23][24][25]. Thus, a continuous description of grain boundaries is inherently non-local, as the limiting values of the elastic distortion on each side of the interface must have some relationship.…”

Section: Introductionsupporting

confidence: 72%

On particle size effects: An internal length mean field approach using field dislocation mechanics

et al. 2010

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Section: Introductionsupporting

confidence: 72%

On particle size effects: An internal length mean field approach using field dislocation mechanics

et al. 2010

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“…By construction, crystal plasticity models do not conserve the nature of the Burgers vector for the mobile dislocations representing plastic deformation at GBs and therefore limits their accuracy at the GB. 46 By comparison, at cycle 112k (Fig. 4d), more than 65% of the resulting predictions are in accordance with experimental observations, which is more representative of the overall model's ability to forecast the crack path.…”

Section: Resultssupporting

confidence: 72%

Using machine learning and a data-driven approach to identify the small fatigue crack driving force in polycrystalline materials

Rovinelli¹,

Sangid²,

Proudhon³

et al. 2018

npj Comput Mater

152

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The propagation of small cracks contributes to the majority of the fatigue lifetime for structural components. Despite significant interest, criteria for the growth of small cracks, in terms of the direction and speed of crack advancement, have not yet been determined. In this work, a new approach to identify the microstructurally small fatigue crack driving force is presented. Bayesian network and machine learning techniques are utilized to identify relevant micromechanical and microstructural variables that influence the direction and rate of the fatigue crack propagation. A multimodal dataset, combining results from a high-resolution 4D experiment of a small crack propagating in situ within a polycrystalline aggregate and crystal plasticity simulations, is used to provide training data. The relevant variables form the basis for analytical expressions thus representing the small crack driving force in terms of a direction and a rate equation. The ability of the proposed expressions to capture the observed experimental behavior is quantified and compared to the results directly from the Bayesian network and from fatigue metrics that are common in the literature. Results indicate that the direction of small crack propagation can be reliably predicted using the proposed analytical model and compares more favorably than other fatigue metrics.

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“…Nevertheless, it has a strong impact on the plastic strain rate and rotation rate fields in the vicinity of the grain boundaries, and it allows retrieving size effects on plasticity, loading path-dependency and directional hardening in particle-reinforced alloys, as well as texture peculiarities due to grain interactions (Mach et al, 2010;Richeton et al, 2011;Puri et al, 2011;. In the forthcoming simulations, we thus propose to investigate further the effects of the interfacial tangential continuity conditions on the predictions of the mesoscale model, in terms of polar defect density distributions at grain boundaries and triple lines, plasticity, material hardening and size effects.…”

Section: Grain Boundaries Viewed As Interfacesmentioning

confidence: 99%

A mesoscopic theory of dislocation and disclination fields for grain boundary-mediated crystal plasticity

Taupin

Capolungo

Fressengeas

et al. 2015

International Journal of Solids and Structures

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International audienceA coarse-grained extension of a recent nanoscale elasto-plastic model of polar dislocation and disclination density fields is developed to model grain boundary-mediated plasticity in polycrystals. At a small resolution length scale, the polar dislocation/disclination densities render continuously the discontinuities of the elastic displacements/rotations across grain boundaries. When the resolution length scale increases, the net polarities of a crystal defect ensemble decrease, perhaps to the point where no strain/curvature incompatibility is left in the body. The defect densities are then labeled ``statistical''. However both polar and statistical dislocation/disclination densities contribute to plastic flow, and a coarse-grained mesoscopic plastic curvature rate needs to be defined. In addition, whereas it is overlooked at nanoscale where grain boundaries are seen as continua, tangential continuity of the elastic/-plastic curvature/strain rates across grain boundaries needs to be considered at mesoscale, because the latter are seen as singular discontinuity interfaces. It induces long-range, grain-to-grain, elastic/plastic interactions across interfaces. The mesoscale model allow preserving the essential features of the lower scale approach. In particular, it is shown that it allows accounting for such plastic deformation mechanisms as grain boundary migration and grain boundary misorientation variation by disclination motion and concurrent dislocation nucleation, when plasticity by dislocation glide is unavailable. Accumulation of polar defect densities in the vicinity of the grain boundaries and triple lines, leading to long-range inter-granular activation of slip and grain size effects, are also predicted by the model

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Continuity in the plastic strain rate and its influence on texture evolution

Cited by 26 publications

References 43 publications

On particle size effects: An internal length mean field approach using field dislocation mechanics

On particle size effects: An internal length mean field approach using field dislocation mechanics

Using machine learning and a data-driven approach to identify the small fatigue crack driving force in polycrystalline materials

A mesoscopic theory of dislocation and disclination fields for grain boundary-mediated crystal plasticity

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