110 research outputs found

    Kinetics of vanadium carbonitride precipitation in steel: A computer model

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    We have constructed a computer model of the precipitation kinetics of vanadium carbonitride in steel that takes into account the composition evolution of the precipitates with time. The model takes advantage of the fast diffusion of nitrogen and carbon compared to niobium to derive the composition, size and rate of formation of the precipitates during their nucleation. A local equilibrium condition is used at the precipitate–matrix interface to derive the growth rate of each precipitate as a function of its size and the current matrix composition. Coarsening occurs naturally on account of the Gibbs–Thomson capillarity effect. For isothermal heat treatments, the calculations show that the precipitates nucleate as almost pure vanadium nitrides. They subsequently grow at the expense of solute nitrogen. When nitrogen is exhausted, the solute carbon precipitates and progressively transforms the nitrides into carbonitrides. The coarsening stage leads to a steady-state size distribution of niobium carbonitrides of the equilibrium composition

    Atomic-scale study of low-temperature equilibria in iron-rich Al-C-Fe

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    The capability of the thermodynamic approach based on the independent point defect approximation to describe low-temperature phase equilibria is investigated and applied to the Al-C-Fe system. The method gives a reasonable description of the multicomponent and multisublattice Fe-rich corner and evidences numerous peculiarities concerning the ordered phases as well as the density-functional-theory (DFT) energy models. The study of Fe3Al(-C), revealing strong defect-induced instabilities, rules out the LDA, SLDA and GGA schemes and leaves (spin-polarized) SGGA as the only valid one. C stabilizes L12 Fe3Al with respect to D03, which justifies the fcc-type structure of the kappa Fe3AlC compound. The present work also helps in justifying the experimentally observed depletion of C in the kappa phase. Finally, a correct description of both Fe3C and kappa requires inclusion of interstitial carbon at low temperature, emphasizing the unexpected importance of interstitial defects in ordered phases

    First principle calculations of the k-Fe3AlC perovskite and ironealuminium intermetallics

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    We present first principle calculations of the structural, electronic, magnetic, vibrational and elastic properties of the k-Fe3AlC perovskite, within the ab initio formalisms of the Density Functional Theory (DFT) and the linear response theory of the DFT. These properties are compared with those of the intermetallic Fe3Al-L12 isostructural phase of k, permitting to interpret the role of the carbon element. We also discuss the influence of the spin effects (GGA and SGGA approaches) on the vibrational properties of some FeeAl intermetallics

    Precipitation of niobium carbonitrides in ferrite: chemical composition measurements and thermodynamic modelling

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    High-resolution transmission electron microscopy and electron-energy loss spectroscopy have been used to characterize the structure and chemical composition of niobium carbonitrides in the ferrite of a Fe–Nb–C–N model alloy at different precipitation stages. Experiments seem to indicate the coexistence of two types of precipitates: pure niobium nitrides and mixed substoichiometric niobium carbonitrides. In order to understand the chemical composition of these precipitates, a thermodynamic formalism has been developed to evaluate the nucleation and growth rates (classical nucleation theory) and the chemical composition of nuclei and existing precipitates. A model based on the numerical solution of thermodynamic and kinetic equations is used to compute the evolution of the precipitate size distribution at a given temperature. The predicted compositions are in very good agreement with experimental results

    Modelling the precipitation of NbC on dislocations in a-Fe

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    A model has been developed for describing the precipitation of NbC on dislocations in ferrite in an Fe–C–Nb steel. This model is a continuous description of the classical laws for nucleation growth and coarsening, which are adapted to the specific case where precipitates only form on dislocations. This model is successfully applied on an extensive data set obtained by small-angle neutron scattering for a wide temperature range and two alloy contents. Using this model, it is possible to estimate the effects of process parameters on the final microstructure and, notably, it is shown that the initial dislocation density has a pronounced influence on the maximum precipitate density

    Ab Initio Calculations of Phase Stabilities in the Fe-Al-C System and CALPHAD-Type Assessment of the Iron-Rich Corner

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    The goal of this article is to improve the description of the Fe-Al-C phase diagram through the density-functional theory (DFT) calculation of the Fe3AlC compound. Several binary stoichiometric compounds in the iron-rich part of the ternary Fe-Al-C system and the ternary stoichiometric carbide Fe3AlC are studied ab initio. The results in terms of lattice parameter, bulk modulus, magnetization, and enthalpy of formation are compared with the calculated values available in the literature. Via a fitted entropy of formation of the ternary carbide, the Gibbs energy of formation of this compound is evaluated as a function of temperature. A CALPHAD-type procedure is then used to calculate ternary Gibbs isotherms at 800 °C, 1000 °C, and 1200 °C. The isotherms are compared with the experimental data of the literature

    Imaging the stick-slip peeling of an adhesive tape under a constant load

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    Using a high speed camera, we study the peeling dynamics of an adhesive tape under a constant load with a special focus on the so-called stick-slip regime of the peeling. It is the first time that the very fast motion of the peeling point is imaged. The speed of the camera, up to 16000 fps, allows us to observe and quantify the details of the peeling point motion during the stick and slip phases: stick and slip velocities, durations and amplitudes. First, in contrast with previous observations, the stick-slip regime appears to be only transient in the force controlled peeling. Additionally, we discover that the stick and slip phases have similar durations and that at high mean peeling velocity, the slip phase actually lasts longer than the stick phase. Depending on the mean peeling velocity, we also observe that the velocity change between stick and slip phase ranges from a rather sudden to a smooth transition. These new observations can help to discriminate between the various assumptions used in theoretical models for describing the complex peeling of an adhesive tape. The present imaging technique opens the door for an extensive study of the velocity controlled stick-slip peeling of an adhesive tape that will allow to understand the statistical complexity of the stick-slip in a stationary case

    Ferrite recrystallization and austenite formation during annealing of cold-rolled advanced high-strength steels: In situ synchrotron X-ray diffraction and modeling

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    Ferrite recrystallization and austenite formation occurring during annealing of cold-rolled advanced high-strength steels are key mechanisms as they largely determine the ïŹnal microstructure and mechanical properties. However, the inïŹ‚uence of processing parameters on these mechanisms and their interactions is still not fully understood. This is particularly the case for Dual-Phase steels having an initial cold-rolled microstructure con-sisting of ferrite and martensite before annealing, which were scarcely investigated compared to ferrite-pearlite initial microstructures. In situ synchrotron X-ray diïŹ€raction experiments together with post-mortem metallo-graphic analysis allowed clarifying both ferrite recrystallization and austenite formation during annealing of a ferrite-martensite initial microstructure depending on the process parameters of the annealing cycle. Results showed a major inïŹ‚uence of recrystallization state on austenite formation, leading to an unexpected eïŹ€ect of heating rate on austenite formation kinetics. A modeling approach was undertaken to rationalize the inïŹ‚uence of heating rate on austenite formation by taking into account the bi-phased ferrite-martensite initial microstructure and the eïŹ€ect of ferrite recrystallization state

    What impacts of climate change on surface water in France by 2070? Results of the Explore2070 project in metropolitan France and overseas departments

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    International audienceLes questions relatives Ă  la disponibilitĂ© et Ă  la gestion de l'eau concentreront l'essentiel des mesures d'adaptation qui seront prises dans les dĂ©cennies Ă  venir pour faire face aux consĂ©quences des changements climatiques. Ces mesures devront Ă©galement prendre en compte les Ă©volutions socio-Ă©conomiques, en termes de dĂ©mographie, d'amĂ©nagement du territoire et de politiques publiques (agriculture, Ă©nergie, transports, etc.). Il est dĂšs lors primordial pour les dĂ©cideurs et gestionnaires de quantifier les Ă©volutions socio-Ă©conomiques possibles, ainsi que le devenir de la ressource en eau et de sa variabilitĂ© temporelle et spatiale. C'est dans ce contexte que le projet Explore2070 avait pour objectif d'Ă©valuer les impacts possibles des changements climatiques et socio-Ă©conomiques futurs sur les grandes masses d'eau (surface, souterrain, littoral) et la biodiversitĂ©, en France mĂ©tropolitaine et sur les dĂ©partements d'Outre-mer (Guadeloupe, Guyane, Martinique et RĂ©union). PilotĂ© par le MinistĂšre de l'Ecologie (MEDDTL), ce projet a rassemblĂ© de nombreux bureaux d'Ă©tudes et instituts de recherche pour dresser un panorama gĂ©nĂ©ral des Ă©volutions Ă  attendre Ă  l'horizon 2070. Par son ampleur et la variĂ©tĂ© de ses objectifs, ce projet doit permettre de rĂ©pondre Ă  de nombreuses questions des gestionnaires et de mieux apprĂ©cier les enjeux de ces Ă©volutions. Dans la suite, nous prĂ©sentons les travaux rĂ©alisĂ©s spĂ©cifiquement sur la quantification des Ă©volutions des eaux de surface. Nous dĂ©taillerons dans ce qui suit la dĂ©marche gĂ©nĂ©rale de modĂ©lisation proposĂ©e, la nature des rĂ©sultats obtenus, ainsi que la façon dont les incertitudes ont Ă©tĂ© quantifiĂ©es. Ce dernier point est indispensable pour aider Ă  la prise de dĂ©cision dans un avenir incertain. / Water availability and water management will be the focus of most of the adaptation measures that will be taken in the next decades to face the consequences of climate change. These measures will have to account for the socio-economic evolutions, in terms of population size, town and country planning, as well as public policies (agriculture, energy, transports, etc.). It is therefore essential for decision makers and managers to be able to quantify the possible socio-economic evolutions together with the evolution of water resources and their temporal and spatial variability. In this context, the Explore2070 project aimed at evaluating the possible impacts of future climate and socio-economic changes on water bodies (surface water, groundwater and coastal water) and biodiversity, in metropolitan France and overseas departments (Guadeloupe, Martinique, French Guyana, and RĂ©union Island). The project was managed by the French Ministry of Ecology (MEDDTL) and gathered several consultancies and research institutes to establish a general overview of the expected evolutions by 2070. Through both the extent and the variety of the project’s objectives, Explore2070 will provide answers to many questions raised by managers and better evaluate the stakes related to these evolutions. In the following, we present the work done specifically to quantify the evolution of surface water. The general modelling approach, the type of results and the way uncertainties were quantified are detailed. Uncertainty quantification is essential to help decision making in an uncertain future

    Sélection de variables pour la classification par mélanges gaussiens pour prédire la fonction des gÚnes orphelins

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    Biologists are interested in predicting the gene functions of sequenced genome organisms according to microarray transcriptome data. The microarray technology development allows one to study the whole genome in different experimental conditions. The information abundance may seem to be an advantage for the gene clustering. However, the structure of interest can often be contained in a subset of the available variables. The currently available variable selection procedures in model-based clustering assume that the irrelevant clustering variables are all independent or are all linked with the relevant clustering variables. A more versatile variable selection model is proposed, taking into account three possible roles for each variable: The relevant clustering variables, the redundant variables and the independent variables. A model selection criterion and a variable selection algorithm are derived for this new variable role modelling. The interest of this new modelling for discovering the function of orphan genes is highlighted on a transcriptome dataset for the arabidopsis thaliana plant.Les biologistes s’attachent actuellement Ă  prĂ©dire la fonction des gĂšnes d’organismes de gĂ©nome sĂ©quence Ă  partir de donnĂ©es transcriptomes, issues de l’utilisation des puces Ă  ADN. Le dÂŽdĂ©veloppement de cette technologie permet de tester l’expression de l’ensemble du gĂ©nome dans de nombreuses conditions expĂ©rimentales. Cette quantitĂ© d’information peut alors sembler ĂȘtre un atout pour la classification des gĂšnes. Pourtant il est courant que seul un sous-ensemble contienne l’information pertinente pour la classification. Les procĂ©dures de sĂ©lection des variables en classification non supervisĂ©e par mĂ©langes gaussiens supposent gĂ©nĂ©ralement que les variables non informatives pour la classification sont soit toutes indĂ©pendantes, soit liĂ©es Ă  des variables informatives. Nous proposons une nouvelle modĂ©lisation du rĂŽle des variables plus polyvalente : les variables sont soit informatives pour la classification, soit redondantes, soit totalement indĂ©pendantes. Nous proposons un critĂšre de sĂ©lection des variables et un algorithme pour cette nouvelle modĂ©lisation. L’intĂ©rĂȘt de cette nouvelle modĂ©lisation pour la prĂ©diction de la fonction des gĂšnes orphelins est illustrĂ©e sur un ensemble de donnĂ©es transcriptomes obtenues chez Arabidopsis thaliana
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