Theoretical analyses of 〈111〉 pencil glide in b.c.c. crystals

Pierre, Guillaume; Bacroix, Brigitte; Jonas, John J.

doi:10.1016/0001-6160(88)90001-6

Cited by 36 publications

(9 citation statements)

References 21 publications

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“…Hence, the slip plane is not necessarily crystallographic and may be any plane embedding the slip direction. Since its elicitation, the latter deformation mechanism, referred to as pencil-glide, has proven useful in predicting plastic deformation and texture evolution of polycrystalline BCC metals (Gilormini et al, 1988;Kocks, 1970). Hence, to predict the FCGR in BCC metals, a small crack propagation framework based upon the pencil-glide model is proposed.…”

Section: Introductionmentioning

confidence: 99%

Predicting the 3D fatigue crack growth rate of small cracks using multimodal data via Bayesian networks: In-situ experiments and crystal plasticity simulations

Rovinelli

Sangid

Proudhon

et al. 2018

Journal of the Mechanics and Physics of Solids

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Small crack (SC) propagation accounts for most of the fatigue life of engineering structures subject to high cycle fatigue loading conditions. Determining the fatigue crack growth rate of SCs propagating into polycrystalline engineering alloys is critical to improving fatigue life predictions, thus lowering cost and increasing safety. In this work, cycle-by-cycle data of a SC propagating in a beta metastable titanium alloy is available via phase and diffraction contrast tomography. Crystal plasticity simulations are used to supplement experimental data regarding the micromechanical fields ahead of the crack tip. Experimental and numerical results are combined into a multimodal dataset and sampled utilizing a non-local data mining procedure. Furthermore, to capture the propensity of body-centered cubic metals to deform according to the pencil-glide model, a non-local driving force is postulated. The proposed driving force serves as the basis to construct a data-driven probabilistic SC propagation framework using Bayesian networks as building blocks. The spatial correlation between the postulated driving force and experimental observations is obtained by analyzing the results of the SC propagation Bayesian framework. Results show that the above correlation increases proportionally to the distance from the crack front until the edge of the plastic zone. Moreover, the predictions of the propagation framework show good agreement with experimental observations. Finally, we studied the interaction of a SC with grain boundaries (GBs) utilizing various slip transmission criteria, revealing the tendency of a SC to cross a GB by propagating along the slip directions minimizing the residual Burgers vector with the GB.

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Section: Introductionmentioning

confidence: 99%

Predicting the 3D fatigue crack growth rate of small cracks using multimodal data via Bayesian networks: In-situ experiments and crystal plasticity simulations

Rovinelli

Sangid

Proudhon

et al. 2018

Journal of the Mechanics and Physics of Solids

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“…The strength increments induced by solid solution strengthening were estimated to be 69 and 67 MPa for CPand UFC-processed steels, respectively. 36,37). The dislocation density was estimated by XRD measure- , where e is strain; d is XRD peak width; h is diffraction angle; k is x-ray wave-length; and a is a constant related to grain size, and when the grain size is larger than 1 lm, it can be ignored.…”

Section: Strength Contributions Induced By Different Strengthening Mementioning

confidence: 99%

Microstructure and Mechanism of Strengthening of Microalloyed Pipeline Steel: Ultra-Fast Cooling (UFC) Versus Laminar Cooling (LC)

Zhao

Wang

et al. 2016

J. of Materi Eng and Perform

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A novel thermo-mechanical controlled processing (TMCP) schedule involving ultra-fast cooling (UFC) technique was used to process X70 (420 MPa) microalloyed pipeline steel with high strength-high toughness combination. A relative comparison is made between microstructure and mechanical properties between conventionally processed (CP) and ultra-fast cooled (UFC) pipeline steels, together with differences in strengthening mechanisms with respect to both types of processes. UFC-processed steel exhibited best combination of strength and good toughness compared to the CP process. The microstructure of CP pipeline steel mainly consisted of acicular ferrite (AF), bainitic ferrite (BF), and dispersed secondary martensite/austenite (M/A) constituent and a small fraction of fine quasi-polygonal ferrite. In contrast, the microstructure of UFC-processed pipeline steel was predominantly composed of finer AF, BF, and dispersed M/A constituent. The primary strengthening mechanisms in UFC pipeline steel were grain size strengthening and dislocation strengthening with strength increment of $277 and $151 MPa, respectively. However, the strengthening contribution in CP steel was related to grain size strengthening, dislocation strengthening, and precipitation strengthening, and the corresponding strength increments were $212, $149 and $86 MPa, respectively. The decrease in strength induced by reducing Nb and Cr in UFC pipeline steel was compensated by enhancing the contribution of grain size strengthening in the UFC process. In conclusion, cooling schedule of UFC combined with LC is a promising method for processing low-cost pipeline steels.

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“…16) However, to avoid the complexities associated with a large number of slip planes, the pencil glide model was used in this calculation. 17) In this model, all planes containing the < 111 > slip directions are admissible. Dillamore and Kato showed the analytic solutions of this model.…”

Section: Crystal Rotation By Tensile Strainmentioning

confidence: 99%

Influence of Tensile Strain on Young’s Modulus in High-strength Cold-rolled Steel Sheets

Kizu¹,

Okuda²,

Nagataki³

et al. 2015

ISIJ Int.

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The change of Young's modulus accompanying tensile deformation was investigated for an anisotropic high-strength cold-rolled steel sheet with a high Young's modulus value in the transverse direction and an isotropic steel sheet with no prominent development of texture. The characteristic phenomenon was the decrease in Young's modulus in the transverse direction by tensile deformation in the transverse direction in the anisotropic steel sheet. The drop of Young's modulus in the transverse direction was attributable to a decrease in the ODF intensity around {112} <110>. Young's modulus in the diagonal direction also decreased somewhat as a result of tensile deformation in the rolling and diagonal directions in the anisotropic steel sheet. This change was caused mainly by an increase in ODF intensity around {001} <110>. Young's modulus in the rolling direction displayed little change as a result of tensile deformation because the texture on the α-fiber and γ -fiber, which were mainly developed in cold-rolled steel sheets, showed an almost constant Young's modulus in the rolling direction. In the isotropic steel sheet, Young's modulus showed little change in any direction as a result of tensile deformation. Young's modulus calculated by the Voigt model had relatively good correspondence with the measured results. Concerning simulation of crystal rotation, the Taylor model indicated that the crystals around the α-fiber from {112} <110> to {111} <110> rotated to the vicinity by tensile deformation in the transverse direction. The remarkable change of Young's modulus was explained by the crystal rotation simulated by the Taylor model.

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Theoretical analyses of 〈111〉 pencil glide in b.c.c. crystals

Cited by 36 publications

References 21 publications

Predicting the 3D fatigue crack growth rate of small cracks using multimodal data via Bayesian networks: In-situ experiments and crystal plasticity simulations

Predicting the 3D fatigue crack growth rate of small cracks using multimodal data via Bayesian networks: In-situ experiments and crystal plasticity simulations

Microstructure and Mechanism of Strengthening of Microalloyed Pipeline Steel: Ultra-Fast Cooling (UFC) Versus Laminar Cooling (LC)

Influence of Tensile Strain on Young’s Modulus in High-strength Cold-rolled Steel Sheets

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