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Author : U. Hecht
Publisher :
ISBN 13 :
Total Pages : 49 pages
Book Rating : 4.:/5 (177 download)
Download or read book Multiphase Solidification in Multicomponent Alloys written by U. Hecht and published by . This book was released on 2004 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nikolas Provatas
Publisher : CRC Press
ISBN 13 : 1000435008
Total Pages : 186 pages
Book Rating : 4.0/5 (4 download)
Download or read book Quantitative Phase Field Modelling of Solidification written by Nikolas Provatas and published by CRC Press. This book was released on 2021-10-12 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a study of phase field modelling of solidification in metal alloy systems. It is divided in two main themes. The first half discusses several classes of quantitative multi-order parameter phase field models for multi-component alloy solidification. These are derived in grand potential ensemble, thus tracking solidification in alloys through the evolution of the chemical potentials of solute species rather than the more commonly used solute concentrations. The use of matched asymptotic analysis for making phase field models quantitative is also discussed at length, and derived in detail in order to make this somewhat abstract topic accessible to students. The second half of the book studies the application of phase field modelling to rapid solidification where solute trapping and interface undercooling follow highly non-equilibrium conditions. In this limit, matched asymptotic analysis is used to map phase field evolution equations onto the continuous growth model, which is generally accepted as a sharp-interface description of solidification at rapid solidification rates. This book will be of interest to graduate students and researchers in materials science and materials engineering. Key Features Presents a clear path to develop quantitative multi-phase and multi-component phase field models for solidification and other phase transformation kinetics Derives and discusses the quantitative nature of the model formulations through matched interface asymptotic analysis Explores a framework for quantitative treatment of rapid solidification to control solute trapping and solute drag dynamics
Author : Feng Yi
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.:/5 (624 download)
Download or read book Computer Simulation of Solidification and Solution Treatment of Multiphase, Multicomponent Alloys written by Feng Yi and published by . This book was released on 2005 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Schulz, Sebastian
Publisher : KIT Scientific Publishing
ISBN 13 : 3731506181
Total Pages : 246 pages
Book Rating : 4.7/5 (315 download)
Download or read book Phase-field simulations of multi-component solidification and coarsening based on thermodynamic datasets written by Schulz, Sebastian and published by KIT Scientific Publishing. This book was released on 2017-02-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The utilization of thermodynamic and mobility data plays a major role in phase-field modeling. This work discusses different formulations for the thermodynamic quantities of a grand potential model along with practices to determine parameters from datasets. The framework is used to study solidification of Al-Si-Mg for a variation of composition, diffusivities and surface energy anisotropies. To verify the simulations, they are compared with solidification theories.
Author : Marc C. Schneider
Publisher :
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.:/5 (358 download)
Download or read book Modeling the Solidification of Multicomponent Alloys with Convection written by Marc C. Schneider and published by . This book was released on 1995 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lijian Tan
Publisher :
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.E/5 ( download)
Download or read book Multiscale Modeling of Solidification of Multi-component Alloys written by Lijian Tan and published by . This book was released on 2007 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling solidification in the micro-scale is computationally intensive. To overcome this difficulty, a method combining features of front-tracking methods and fixed-domain methods is developed. To explicitly track the interface growth and shape of the solidifying crystals, a front-tracking approach based on the level set method is implemented. To easily model the heat and momentum transport, a fixed-domain method is implemented assuming a diffused freezing front where the liquid fraction is defined in terms of the level set function. The fixed-domain approach, by avoiding the explicit application of essential boundary conditions on the freezing front, leads to an energy conserving methodology that is not sensitive to the mesh size. Techniques including fast marching, narrow band computing and adaptive meshing are utilized to speed up computations. The model is used to investigate various phenomena in solidification including two- and three-dimensional dendrite growth of pure material and alloys, eutectic and peritectic solidification, convection effects on crystal and dendrite growth, planar/cellular/dendritic transition, interaction between multiple dendrites, columnar/equiaxed transition and etc. Interaction between thousands or even millions of crystals gives the overall behavior of the solidification process and defines the properties of the final product. A multiscale model based on a database approach is developed to investigate alloy solidification. Appropriate assumptions are introduced to describe the behavior of macroscopic temperature, macroscopic concentration, liquid volume fraction and microstructure features. These assumptions lead to a macroscale model with two unknown functions: liquid vol- ume fraction and microstructure features. These functions are computed using information from microscale solutions of selected problems. A computationally efficient model, which is different from the microscale and macroscale models, is utilized to find relevant sample problems. The microscale solution of the relevant sample problems is then utilized to evaluate the two unknown functions (liquid volume fraction and microstructure features) in the macroscale model. The temperature solution of the macroscale model is further used to improve the estimation of the liquid volume fraction and microstructure features. Interpolation is utilized in the feature space to greatly reduce the number of required sample problems. The efficiency of the proposed multiscale framework is demonstrated with numerical examples that consider a large number of crystals. A computationally intensive fully-resolved microscale analysis is also performed to evaluate the accuracy of the multiscale framework. (Abstract).
Author : Kaushik Shampur
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (1 download)
Download or read book A Grand Potential Based Multi-phase Field Model for Alloy Solidification written by Kaushik Shampur and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ability to model phase transitions in complex (i.e. multi-component and multi- phase) alloys, accurately, efficiently, and in an accessible manner, is important in material science. This thesis derives a new model that extends the quantitative model of polycrystalline solidification of Ofori-Opoku et al [3] to the case of multiple components and alloy phases through a grand potential functional description. Here, solidification is described by a set of order parameters describing solid phases and a set chemical potentials describing solute components. Solidification of a solid phase is driven by the grand potential difference between it and the liquid, expanded here to quadratic order in the chemical potential difference (relative to equilibrium) of each solute, i.e., its supersaturation. This allows us to model both near and far- from equilibrium solidification conditions, and to easily make contact with previous quantitative single-crystal phase field theories in the literature. Thermal fluctuations in the theory are treated via stochastic noise, a feature important for modelling multi-phase nucleation self-consistently. Working in the grand canonical ensemble treats the evolution of order parameter and chemical potential as a coupled process, unique compared to the traditional methods. As a result, complete decoupling of all diffusion fields and order parameter fields is achieved at equilibrium, making it possible to easily set solid-liquid or solid- solid interface energy independently of solute distribution across an an interface, an important feature for quantitative meso-scale calculations. Chemical diffusion equations in the model are augmented by a non-variational, so-called anti-trapping flux in each solute species. These fictitious fluxes are used in the literature in some phase field theories to correct for spurious solute trapping effects caused by the use of a diffuse interface, which is done solely for numerical expediency.We demonstrate its workings of our model in the limit of a two-component eutectic alloy system simulated with 2D dynamic adaptive mesh refinement. Benchmark eutectic lamellar simulations and measurements are first performed. Following that, two-phase homogenous nucleation and growth are examined. In the limit of near- equilibrium interfaces (zero interface kinetics), we illustrate two-phase grain growth scaling that is independent of nucleation barrier." --
Author : Doru Michael Stefanescu
Publisher : Springer
ISBN 13 : 3319156934
Total Pages : 559 pages
Book Rating : 4.3/5 (191 download)
Download or read book Science and Engineering of Casting Solidification written by Doru Michael Stefanescu and published by Springer. This book was released on 2015-08-27 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 3rd edition of this popular textbook covers current topics in all areas of casting solidification. Partial differential equations and numerical analysis are used extensively throughout the text, with numerous calculation examples, to help the reader in achieving a working knowledge of computational solidification modeling. The features of this new edition include: • new chapters on semi-solid and metal matrix composites solidification • a significantly extended treatment of multiscale modeling of solidification and its applications to commercial alloys • a survey of new topics such as solidification of multicomponent alloys and molecular dynamic modeling • new theories, including a theory on oxide bi-films in the treatment of shrinkage problems • an in-depth treatment of the theoretical aspects of the solidification of the most important commercial alloys including steel, cast iron, aluminum-silicon eutectics, and superalloys • updated tables of material constants.
Author : Nana Ofori-Opoku
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.:/5 (489 download)
Download or read book Quantitative Multi-phase Field Modeling of Polycrystalline Solidification in Binary Alloys written by Nana Ofori-Opoku and published by . This book was released on 2009 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dieter M. Herlach
Publisher : John Wiley & Sons
ISBN 13 : 3527624058
Total Pages : 435 pages
Book Rating : 4.5/5 (276 download)
Download or read book Phase Transformations in Multicomponent Melts written by Dieter M. Herlach and published by John Wiley & Sons. This book was released on 2009-06-10 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together the concerted efforts of the multicomponent materials community in one decisive reference work, this handbook covers all the important aspects from fundamentals to applications: thermodynamics, microscopic processes, solidification, simulation and modeling. As such, it provides a vital understanding of melt and solidification processes, treating all simulation techniques for continuous and discrete systems, such as molecular dynamics, Monte Carlo, and finite elements calculations.
Author : Dipankar Banerjee
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.0/5 ( download)
Download or read book Metastable Microstructures written by Dipankar Banerjee and published by . This book was released on 1993 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dieter M. Herlach
Publisher : John Wiley & Sons
ISBN 13 : 3527604359
Total Pages : 322 pages
Book Rating : 4.5/5 (276 download)
Download or read book Solidification and Crystallization written by Dieter M. Herlach and published by John Wiley & Sons. This book was released on 2006-03-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current interest in research of solidification of melts is focussed to understand crystal nucleation and crystal growth. They determine the solidified product with its physical properties. A detailed description of these processes lead to the development and validation of physical models, which may form the basis of quantitative modelling of solidification routes in e.g. casting and foundry processes in order to develop a predictive capability in the design of materials during solidification. This book, based on a symposium held at EUROMAT 2003 aims to gives an overview on current developments in the research of solidification and crystallisation of liquids. The materials of interest range from metals and their alloys over semiconductors and isolators to organic substances.
Author : Dieter M. Herlach
Publisher : John Wiley & Sons
ISBN 13 : 3527647929
Total Pages : 569 pages
Book Rating : 4.5/5 (276 download)
Download or read book Solidification of Containerless Undercooled Melts written by Dieter M. Herlach and published by John Wiley & Sons. This book was released on 2012-05-21 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: All metallic materials are prepared from the liquid state as their parent phase. Solidification is therefore one of the most important phase transformation in daily human life. Solidification is the transition from liquid to solid state of matter. The conditions under which material is transformed determines the physical and chemical properties of the as-solidified body. The processes involved, like nucleation and crystal growth, are governed by heat and mass transport. Convection and undercooling provide additional processing parameters to tune the solidification process and to control solid material performance from the very beginning of the production chain. To develop a predictive capability for efficient materials production the processes involved in solidification have to be understood in detail. This book provides a comprehensive overview of the solidification of metallic melts processed and undercooled in a containerless manner by drop tube, electromagnetic and electrostatic levitation, and experiments in reduced gravity. The experiments are accompanied by model calculations on the influence of thermodynamic and hydrodynamic conditions that control selection of nucleation mechanisms and modify crystal growth development throughout the solidification process.
Author :
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (683 download)
Download or read book The Use of Computerized Thermodynamics Databases for Solidification Modeling of Fusion Welds in Multi-Component Alloys written by and published by . This book was released on 1999 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most engineering alloys contain numerous alloying elements and their solidification behavior can not typically be modeled with existing binary and ternary phase diagrams. There has recently been considerable progress in the development of thermodynamic software programs for calculating solidification parameters and phase diagrams of multi-component systems. These routines can potentially provide useful input data that are needed in multi-component solidification models. However, these thermodynamic routines require validation before they can be confidently applied to simulations of alloys over a wide range of composition. In this article, a preliminary assessment of the accuracy of the Thermo-Calc NiFe Superalloy database is presented. The database validation is conducted by comparing calculated phase diagram quantities to experimental measurements available in the literature. Comparisons are provided in terms of calculated and measured liquidus and solidus temperatures and slopes, equilibrium distribution coefficients, and multi-component phase diagrams. Reasonable agreement is observed among the comparisons made to date. Examples are provided which illustrate how the database can be used to approximate the solidification sequence and final segregation patterns in multi-component alloys. An additional example of the coupling of calculated phase diagrams to solute redistribution computations in a commercial eight component Ni base superalloy is also presented.
Author : Nicholas Alexander Derimow
Publisher :
ISBN 13 : 9781085799317
Total Pages : 260 pages
Book Rating : 4.7/5 (993 download)
Download or read book Solidification, Thermodynamics, and Mechanical Properties of Multi-principal Element Alloys written by Nicholas Alexander Derimow and published by . This book was released on 2019 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structure and solidification of CoCrCu-X MPEAs with X = Fe, Mn, Ni, Ti, V, FeMn, FeNi, FeTi, FeV, MnNi, MnTi, MnV, NiTi, NiV, and TiV were studied via arc-melting and electromagnetic levitation melting. The ternary mixture of CoCrCu was found to form no single phase liquid, however by systematically introducing the remaining 3d transition metals, it was found that Ni and Ti promote single phase liquid formation, eventually leading to dendritic microstructures as opposed to the highly phase separated microstructures found in ten of the alloys. The thermodynamics of the liquid phase separation in these alloys is largely dictated by the positive mixing enthalpy contributions of Cu in these systems. Of the six dendritically solidifying alloys, CoCrCuNi, CoCrCuFeNi, and CoCrCuMnNi solidified with a face-centered cubic (FCC) crystal structure for both the dendritic and interdendritic phases while CoCrCuTi and CoCrCuTiV solidified with FCC and body-centered cubic (BCC) phases. In contrast CoCrCuMnTi solidified with a hexagonal closed packed Laves C14 dendritic phase and FCC interdendritic matrix. The three FCC alloys were then prepared via powder metallurgy and processed via spark plasma sintering (SPS) to compare microstructure, crystal structure, and mechanical properties with the solidification processed alloys. It was found that the powder metallurgical processing and SPS led to a doubling of the hardness in these alloys due to the nanocrystallinity of the powder being preserved. Liquid phase separation was further investigated by neutron imaging techniques. It was found that the technique not only allows for the direct observations of molten metals, but also shows mixing and de-mixing in the liquid for these alloys. The neutron imaging technique was applied to the CoCrCuNi high entropy alloy to study the remixing of the de-mixed liquid with the addition of Ni to CoCrCu. The CoCrCuMnTi alloys were systematically studied by varying the amount of Mn in order to find the critical Mn concentration for the formation of the Laves C14 phase in these alloys. The particular composition of Co22Cr18Cu20Mn16Ti24 has high hardness of 996.6 HV 0.01 for the dendritic phase, while the hardness of the interdendritic phase is 457.3 HV 0.01. In this alloy, there is also a small dispersed Ti-rich phase. The effects of varied cooling rates on this alloy were studied, and it was found that higher cooling rates led to the suppression of the tertiary Ti-rich phase.
Author : Raj P. Chhabra
Publisher : CRC Press
ISBN 13 : 149871529X
Total Pages : 1649 pages
Book Rating : 4.4/5 (987 download)
Download or read book CRC Handbook of Thermal Engineering written by Raj P. Chhabra and published by CRC Press. This book was released on 2017-11-08 with total page 1649 pages. Available in PDF, EPUB and Kindle. Book excerpt: The CRC Handbook of Thermal Engineering, Second Edition, is a fully updated version of this respected reference work, with chapters written by leading experts. Its first part covers basic concepts, equations and principles of thermodynamics, heat transfer, and fluid dynamics. Following that is detailed coverage of major application areas, such as bioengineering, energy-efficient building systems, traditional and renewable energy sources, food processing, and aerospace heat transfer topics. The latest numerical and computational tools, microscale and nanoscale engineering, and new complex-structured materials are also presented. Designed for easy reference, this new edition is a must-have volume for engineers and researchers around the globe.
Author : Laurentiu Nastac
Publisher : Springer
ISBN 13 : 3319481177
Total Pages : 419 pages
Book Rating : 4.3/5 (194 download)
Download or read book Advances in the Science and Engineering of Casting Solidification written by Laurentiu Nastac and published by Springer. This book was released on 2016-12-16 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection encompasses the following four areas: (1) Solidification processing: theoretical and experimental investigations of solidification processes including castings solidification, directional solidification of alloys, electromagnetic stirring, ultrasonic cavitation, mechanical vibration, active cooling and heating, powder bed-electron beam melting additive manufacturing, etc. for processing of metals, polymers and composite materials; (2) Microstructure Evolution: theoretical and experimental studies related to microstructure evolution of materials including prediction of solidification-related defects and particle pushing/engulfment aspects; (3) Novel Casting and Molding Processes: modeling and experimental aspects including high pressure die casting, permanent casting, centrifugal casting, low pressure casting, 3D silica sand mold printing, etc.; and (4) Cast Iron: all aspects related to cast iron characterization, computational and analytical modeling, and processing.
