Stochastic modeling of twin nucleation in polycrystals: An application in hexagonal close-packed metals
TL;DR: In this paper, a stochastic model for the nucleation of deformation twins in hexagonal close-packed (hcp) polycrystals is presented, and the model is implemented into a viscoplastic self-consistent (VPSC) crystal plasticity framework to test its predictive capability against previously reported statistical characterization in deformed zirconium at multiple temperatures.
About: This article is published in International Journal of Plasticity.The article was published on 2014-05-01. It has received 132 citations till now. The article focuses on the topics: Nucleation & Crystal twinning.
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TL;DR: In this paper, a comprehensive review on important micro-structural evolutions and major microstructural features induced by SPD processing in single-phase metallic materials with face-centered cubic structures, body-centered cylindrical structures, and hexagonal close-packed structures, as well as in multi-phase alloys is provided.
Abstract: Bulk nanostructured (ns)/ultrafine-grained (UFG) metallic materials possess very high strength, making them attractive for high strength, lightweight and energy efficient applications. The most effective approach to produce bulk ns/UFG metallic materials is severe plastic deformation (SPD). In the last 30 years, significant research efforts have been made to explore SPD processing of materials, SPD-induced microstructural evolutions, and the resulting mechanical properties. There have been a few comprehensive reviews focusing mainly on SPD processing and the mechanical properties of the resulting materials. Yet no such a review on SPD-induced microstructural evolutions is available. This paper aims to provide a comprehensive review on important microstructural evolutions and major microstructural features induced by SPD processing in single-phase metallic materials with face-centered cubic structures, body-centered cubic structures, and hexagonal close-packed structures, as well as in multi-phase alloys. The corresponding deformation mechanisms and structural evolutions during SPD processing are discussed, including dislocation slip, deformation twinning, phase transformation, grain refinement, grain growth, and the evolution of dislocation density. A brief review on the mechanical properties of SPD-processed materials is also provided to correlate the structure with mechanical properties of SPD-processed materials, which is important for guiding structural design for optimum mechanical properties of materials.
349 citations
TL;DR: In this article, a review of recent basic research on two classes of twins: growth twins and deformation twins is presented, focusing primarily on studies that aim to understand, via experiments, modeling, or both, the causes and effects of twinning at a fundamental level.
Abstract: This article reviews recent basic research on two classes of twins: growth twins and deformation twins. We focus primarily on studies that aim to understand, via experiments, modeling, or both, the causes and effects of twinning at a fundamental level. We anticipate that, by providing a broad perspective on the latest advances in twinning, this review will help set the stage for designing new metallic materials with unprecedented combinations of mechanical and physical properties.
318 citations
TL;DR: In this article, the authors investigated the temperature and rate dependence of slip, twinning, and secondary twinning in high-purity hexagonal close packed α-Zr over a wide range of temperatures and strain rates.
208 citations
TL;DR: In this paper, a numerical study of the distribution of the local stress state associated with deformation twinning in Mg is presented, both inside the twinned domain and in its immediate neighborhood, due to the accommodation of the twinning transformation shear.
188 citations
TL;DR: In this article, the authors explore the relationship between dislocation and grain boundary dislocations (GBDs) interactions and show that the outcome of the reactions can be correlated with certain characteristics of the GBDs and classified into three types: (1) for STGBs with low misorientation angles, { 1 ¯ 0 1 2 } twins nucleate via the dissociation of grain boundaries.
150 citations
References
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TL;DR: The MATLAB toolbox MTEX as discussed by the authors provides a unique way to represent, analyse and interpret crystallographic preferred orientation, i.e. texture based on integral (pole figure) or individual orientation (EBSD) measurements.
Abstract: The MATLAB™ toolbox MTEX provides a unique way to represent, analyse and interpret crystallographic preferred orientation, i.e. texture, based on integral (“pole figure”) or individual orientation (“EBSD”) measurements. In particular, MTEX comprises functions to import, analyse and visualize diffraction pole figure data as well as EBSD data, to estimate an orientation density function from either kind of data, to compute texture characteristics, to model orientation density functions in terms of model functions or Fourier coefficients, to simulate pole figure or EBSD data, to create publication ready plots, to write scripts for multiple use, and others. Thus MTEX is a versatile free and open-source software toolbox for texture analysis and modeling.
1,836 citations
"Stochastic modeling of twin nucleat..." refers methods in this paper
...In an attempt to remain as objective as possible for all texture calculations, the automatic kernel half-width estimation tools included within the MTEX toolbox were used to optimize ODF calculation and texture plotting parameters (Bachmann et al., 2010) The predicted evolution of twin volume fraction with increasing strain is shown in Fig....
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TL;DR: In this paper, a visco-plastic self-consistent (VPSC) anisotropic approach for modeling the plastic deformation of polycrystals, together with a thorough discussion of the assumptions involved and the range of application of such approach is presented.
Abstract: We present in this work a visco-plastic self-consistent (VPSC) anisotropic approach for modeling the plastic deformation of polycrystals, together with a thorough discussion of the assumptions involved and the range of application of such approach. We use the VPSC model for predicting texture development during rolling and axisymmetric deformation of Zirconium alloys, and to calculate the yield locus and the Lankford coefficient of rolled Zircaloy sheet. We compare our results with experimental data and find that they are in good agreement with the available experimental evidence. We also compare the VPSC predictions with the ones of a Full Constraints approach and observe that they differ both quantitatively and qualitatively: according with the predictions of the VPSC scheme, deformation is accommodated mostly by the soft systems, the twinning activity is much lower, and fewer systems are active, in average, per grain. These results are a consequence of having accounted for the grain interaction with its surroundings, which is a crucial aspect when modeling plastically anisotropic materials.
1,834 citations
TL;DR: An alternate method based on Fourier series which avoids meshing and which makes direct use of microstructure images is proposed, based on the exact expression of the Green function of a linear elastic and homogeneous comparison material.
1,170 citations
TL;DR: This book surveys and analyzes methods that use survival measurements and concepts, and helps readers apply the appropriate method for a given situation.
981 citations
TL;DR: In this paper, the role of the twins as barriers to dislocations is explicitly incorporated into the hardening description of slip deformation via a directional Hall-Petch mechanism.
537 citations
"Stochastic modeling of twin nucleat..." refers background in this paper
...Most models depend on a simple deterministic critical resolved shear stress (CRSS) based law for describing nucleation and subsequent propagation of twins (Salem et al., 2005; Proust et al., 2007; Proust et al., 2009; Abdolvand et al., 2011)....
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