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Mathematics Of Microstructure Evolution
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Author :Long-Qing Chen Publisher :Society for Industrial and Applied Mathematics (SIAM) ISBN 13 : Total Pages :408 pages Book Rating :4.F/5 ( download)
Book Synopsis Mathematics of Microstructure Evolution by : Long-Qing Chen
Download or read book Mathematics of Microstructure Evolution written by Long-Qing Chen and published by Society for Industrial and Applied Mathematics (SIAM). This book was released on 1996 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Materials science is a growth area for mathematics in the United States. This volume unites mathematicians, computer scientists, physicists and material scientists in a comprehensive presentation of empirical material on microstructure evolution. The book's tutorial presentation of modern mathematical methods should make it a useful reference for materials scientists.
Author :University of Minnesota. Institute for Mathematics and Its Applications Publisher : ISBN 13 : Total Pages : pages Book Rating :4.:/5 (123 download)
Book Synopsis Numerical Treatment of Microstructure Evolution Modeling by : University of Minnesota. Institute for Mathematics and Its Applications
Download or read book Numerical Treatment of Microstructure Evolution Modeling written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modeling and Simulation of Microstructure Evolution in Solidifying Alloys by : Laurentiu Nastac
Download or read book Modeling and Simulation of Microstructure Evolution in Solidifying Alloys written by Laurentiu Nastac and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of Modeling and Simulation of Microstructure Evolution in Solidifying Alloys is to describe in a clear mathematical language the physics of the solidification structure evolution of cast alloys. The concepts and methodologies presented here for the net-shaped casting and the ingot remelt processes can be applied, with some modifications, to model other solidification processes such as welding and deposition processes. Another aim of the book is to provide simulation examples of the solidification structure modeling in some crucial commercial casting technologies as well as to provide practical techniques for controlling the structure formation during the solidification processes.
Book Synopsis Computational and Mathematical Models of Microstructural Evolution by :
Download or read book Computational and Mathematical Models of Microstructural Evolution written by and published by . This book was released on 1998 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Hans-Joachim Bungartz Publisher :Springer Science & Business Media ISBN 13 :3642597092 Total Pages :317 pages Book Rating :4.6/5 (425 download)
Book Synopsis Lectures on Applied Mathematics by : Hans-Joachim Bungartz
Download or read book Lectures on Applied Mathematics written by Hans-Joachim Bungartz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: When the DFG (Deutsche Forschungsgemeinschaft) launched its collabora tive research centre or SFB (Sonderforschungsbereich) 438 "Mathematical Modelling, Simulation, and Verification in Material-Oriented Processes and Intelligent Systems" in July 1997 at the Technische Vniversitat Munchen and at the Vniversitat Augsburg, southern Bavaria got its second nucleus of the still young discipline scientific computing. Whereas the first and older one, FORTWIHR, the Bavarian Consortium for High Performance Scientific Com puting, had put its main emphasis on the supercomputing aspect, this new initiative was now expected to focus on the mathematical part. Consequently, throughout all of the five main research topics (A) adaptive materials and thin layers, (B) adaptive materials in medicine, (C) robotics, aeronautics, and automobile technology, (D) microstructured devices and systems, and (E) transport processes in flows, mathematical aspects play a predominant role. The formation of the SFB 438 and its scientific program are inextricably linked with the name of Karl-Heinz Hoffmann. As full professor for applied mathematics in Augsburg (1981-1991) and in Munchen (since 1992) and as dean of the faculty of mathematics at the TV Munchen, he was the driv ing force of this fascinating, but not always easy-to-realize idea of bringing together scientists from mathematics, physics, engineering, informatics, and medicine for joint efforts in modern applied mathematics. However, scarcely work had begun when the successful captain was called to take command on a bigger boat.
Book Synopsis Level Set Model of Microstructure Evolution in the Chemical Vapor Infiltration Process by : Xuelei Wang
Download or read book Level Set Model of Microstructure Evolution in the Chemical Vapor Infiltration Process written by Xuelei Wang and published by . This book was released on 2002 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Enumath 97 - Proceedings Of The Second European Conference On Numerical Mathematics And Advanced Applications by : Hans Georg Bock
Download or read book Enumath 97 - Proceedings Of The Second European Conference On Numerical Mathematics And Advanced Applications written by Hans Georg Bock and published by World Scientific. This book was released on 1998-11-06 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ENUMATH conferences were established in 1995 in order to provide a forum for discussion on recent topics of numerical mathematics. They seek to bring together leading experts and young scientists, with special emphasis on contributions from Europe.In the second ENUMATH conference in 1997, recent results and new trends in the analysis of numerical algorithms as well as their application to challenging scientific and industrial problems were discussed. Apart from theoretical aspects, a major part of the conference was devoted to numerical methods in interdisciplinary applications.The topics covered in this proceedings include: higher order finite element methods, non-matching grids, least-squares methods for partial differential equations, multiscale analysis, boundary element method, optimization in partial differential equations, solid mechanics, microstructures, computational fluid dynamics, computational electrodynamics and semiconductors.
Book Synopsis Computational Study of Microstructure Evolution During Phase Transformations by : Taiwu Yu
Download or read book Computational Study of Microstructure Evolution During Phase Transformations written by Taiwu Yu and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase transformation is always a critical topic in the study of materials science. Most people have been familiar with some transformations between solid and liquid, such as ice to water, or transformations between liquid and gas, such as water to vapor. Besides, the phase transformations in solids also occur everywhere. Some solid phase transformations occur due to temperature variations. Those transformations may also be affected by external stress or strain, as seen in shape memory alloys (SMAs). The solid-solid transformation is considered to be the one of the most effective ways to tailor the microstructure and properties of the alloys, moreover, it sometimes strengthens the structural materials. There are some types of solid-state phase transformations that are hard to characterize in the traditional experiments. The difficulty mainly comes from two aspects. Firstly, some of the phase transformations happen too fast, such as martensitic transformation. The speed of the martensitic transformation is close to the speed of sound traveling in solids (~1000m/s), which makes it difficult to know how it starts and evolves. Secondly, some of the phase transformation processes are too slow, such as oxidation. It could take years to form a continuous layer of oxides in microns. With the fast development of high-performance computing, the study of phase transformations through computational tools attracts more and more attention. The objective of this thesis is to apply computational tools to study the two types of phase transformations and their corresponding mechanical properties: precipitation and martensitic transformation. As one of the most important structural phase transformations discovered in metallurgy and materials science, martensitic transformation (MT) has been attracting continued attention since its discovery in the late nineteenth century till today because it relates closely to the functional properties of NiTi-based alloy such as the superelasticity and shape memory effect. Most importantly, MT can be tailored through nano-scale defects in materials. Firstly, nano-scale defects in the B2 parent phase are known to have profound impacts on the properties of NiTi-based shape memory alloys. We employed the phase field models (PFM) to study the effects of two typical nano-scale defects, nano-scale precipitates and voids, on MT. The simulation of precipitation unveiled the mechanical and chemical effects on the behavior of MT in NiTi-Hf alloys. Moreover, the simulation of MT with the coexistence of precipitates explained the mechanism of two typical patterns of martensite. The results indicates that the stress-strain response has great dependence on the concentration heterogeneity in the matrix as well as precipitate microstructures. Through the simulation we proved the feasibility to achieve linear or quasi-linear superelasticity with high recoverable strain (up to 4%) in NiTi-Hf alloys after the precipitation. In the simulation of MT under the effects of nano voids in NiTi, we observed that martensite could be confined in the interspacing area between voids. Besides, MT could be triggered at lower critical stress with larger volume fraction of voids. This simulation may shed lights on the design of the porous NiTi alloys for the biomedical application. In superalloys, the microstructure of precipitates can be altered by the formation of an oxide layer on the surface. It is observed that the \gamma\prime precipitates dissolve at the near-surface region with the formation of the oxide layer in the alloy. We employed DICTRA module in Thermo-calc Software to solve the multicomponent diffusion equations in alloy H282 with an outward flux of chromium or aluminum due to oxidation and applied PFM to simulate the dissolution of precipitates. The local variation of precipitates’ volume fraction as a function of oxidation time has been quantitatively determined. The calculation of precipitates depletion depth shows good agreement with the experiments. The highly heterogeneous structure of \gamma\prime precipitates is expected to have a significant effect on the creep behavior of the alloy.
Book Synopsis Mathematical and Physical Simulation of the Properties of Hot Rolled Products by : Maciej Pietrzyk
Download or read book Mathematical and Physical Simulation of the Properties of Hot Rolled Products written by Maciej Pietrzyk and published by Elsevier. This book was released on 1999-07-05 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this publication is to comprehensively discuss the possibilities of producing steels with pre-determined attributes, demanded by the customer to fit exacting specifications. The information presented in the book has been designed to indicate the reasons for the expenses and to aid in the process of overcoming the difficulties and reducing the costs. In nine detailed chapters, the authors cover topics including: • steel as a major contributor to the economic wealth of a country in terms of its capabilities and production • current concerns of major steel producers • phenomena contributing to the quality of the product • information concerning the boundary conditions of the rolling process and initial conditions, put to use by mathematical models • the solid state incremental approach and flow formulation • parameters and variables - most of which make use of the exponential nature of phenomena that are activated by thermal energy • the application of three dimensional analysis to shape rolling • the evaluation of parameters by a form of inverse analysis to the flat rolling process • knowledge based modeling, using artificial intelligence, expert systems and neural networks They conclude that when either mathematical or physical modeling of the rolling process is considered and the aim is to satisfy the demands for customers, it is possible to produce what the customer wants, exactly.
Book Synopsis Analysis and Computation of Microstructure in Finite Plasticity by : Sergio Conti
Download or read book Analysis and Computation of Microstructure in Finite Plasticity written by Sergio Conti and published by Springer. This book was released on 2015-04-23 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment. The mathematical analyses are based on methods from the calculus of variations, while in the numerical implementation global optimization algorithms play a central role. The modeling covers all length scales, from the atomic structure up to macroscopic samples. The development of the models ware guided by experiments on single and polycrystals and results will be checked against experimental data.
Book Synopsis Programming Phase-Field Modeling by : S. Bulent Biner
Download or read book Programming Phase-Field Modeling written by S. Bulent Biner and published by Springer. This book was released on 2017-01-25 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a fast-track pathway to numerical implementation of phase-field modeling—a relatively new paradigm that has become the method of choice for modeling and simulation of microstructure evolution in materials. It serves as a cookbook for the phase-field method by presenting a collection of codes that act as foundations and templates for developing other models with more complexity. Programming Phase-Field Modeling uses the Matlab/Octave programming package, simpler and more compact than other high-level programming languages, providing ease of use to the widest audience. Particular attention is devoted to the computational efficiency and clarity during development of the codes, which allows the reader to easily make the connection between the mathematical formulism and the numerical implementation of phase-field models. The background materials provided in each case study also provide a forum for undergraduate level modeling-simulations courses as part of their curriculum.
Book Synopsis Phase Transformations, Microstructure Evolution and Deformation by : Yann Le Bouar
Download or read book Phase Transformations, Microstructure Evolution and Deformation written by Yann Le Bouar and published by . This book was released on 2010 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Methods for Microstructure-Property Relationships by : Somnath Ghosh
Download or read book Computational Methods for Microstructure-Property Relationships written by Somnath Ghosh and published by Springer Science & Business Media. This book was released on 2010-11-17 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods for Microstructure-Property Relationships introduces state-of-the-art advances in computational modeling approaches for materials structure-property relations. Written with an approach that recognizes the necessity of the engineering computational mechanics framework, this volume provides balanced treatment of heterogeneous materials structures within the microstructural and component scales. Encompassing both computational mechanics and computational materials science disciplines, this volume offers an analysis of the current techniques and selected topics important to industry researchers, such as deformation, creep and fatigue of primarily metallic materials. Researchers, engineers and professionals involved with predicting performance and failure of materials will find Computational Methods for Microstructure-Property Relationships a valuable reference.
Book Synopsis Coupled Reaction-diffusion Systems and Evolving Microstructure by : Malte Andreas Peter
Download or read book Coupled Reaction-diffusion Systems and Evolving Microstructure written by Malte Andreas Peter and published by . This book was released on 2007 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemical processes in porous media are modelled on the pore scale using reaction-diffusion equations. The resulting prototypical systems of coupled linear and nonlinear differentialequations are homogenised in the context of periodic media. Particular attention is paid to the scaling of certain terms of the reaction-diffusion system with powers of the homogenisation parameter and the accounting for an evolution of the microstructure. Numerical simulations confirm the appropriateness of the resulting macroscopic limit problems. Moreover, simulations for the real-world problem of concrete carbonation are performed showing that the accounting for the evolution of the microstructure leads to a better approximation of experimental data.
Book Synopsis The Selected Works of John W. Cahn by : W. Craig Carter
Download or read book The Selected Works of John W. Cahn written by W. Craig Carter and published by John Wiley & Sons. This book was released on 2013-10-28 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents a collection of 30 selected papers from the work of John W. Cahn. Dr. Cahn is Senior Fellow at the Materials Science and Engineering Laboratory of the National Institute of Standards and Technology, and is widely recognized as a founder of modern theory and thought in materials science. The range of his research included kinetics and mechanisms of metallurgical phase changes, surfaces, interfaces, defects, quasicrystals, thermodynamics, and other areas impacting the fundamental understanding of materials science. Each paper includes a 2-4 page review of the impact and historical perspective of the work. This is an important collection for students, instructors, and scientists interested in materials science.
Book Synopsis Continuum Scale Simulation of Engineering Materials by : Dierk Raabe
Download or read book Continuum Scale Simulation of Engineering Materials written by Dierk Raabe and published by John Wiley & Sons. This book was released on 2006-03-06 with total page 885 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book fills a gap by presenting our current knowledge and understanding of continuum-based concepts behind computational methods used for microstructure and process simulation of engineering materials above the atomic scale. The volume provides an excellent overview on the different methods, comparing the different methods in terms of their respective particular weaknesses and advantages. This trains readers to identify appropriate approaches to the new challenges that emerge every day in this exciting domain. Divided into three main parts, the first is a basic overview covering fundamental key methods in the field of continuum scale materials simulation. The second one then goes on to look at applications of these methods to the prediction of microstructures, dealing with explicit simulation examples, while the third part discusses example applications in the field of process simulation. By presenting a spectrum of different computational approaches to materials, the book aims to initiate the development of corresponding virtual laboratories in the industry in which these methods are exploited. As such, it addresses graduates and undergraduates, lecturers, materials scientists and engineers, physicists, biologists, chemists, mathematicians, and mechanical engineers.
Book Synopsis Microstructure and Phase Transition by : David Kinderlehrer
Download or read book Microstructure and Phase Transition written by David Kinderlehrer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications MICROSTRUCTURE AND PHASE TRANSITION is based on the proceedings of a workshop which was an integral part of the 1990-91 IMA program on "Phase Transitions and Free Boundaries." We thank R. Fosdick, M.E. Gurtin, W.-M. Ni and L.A. Peletier for organizing the year-long program and, especially, D. Kinderlehrer, R. James, M. Luskin and J. Ericksen for organizing the meeting and editing these proceedings. We also take this opportunity to thank those agencies whose financial support made the workshop possible: the Army Research Office, and the National Science Foun dation. A vner Friedman Willard Miller. Jr. PREFACE Much of our traditional knowledge of materials and processes is achievf'd by observa tion and analysis of small departures from equilibrium. Many materials, especially modern alloys, ceramics, and their composites, experience not only larger but more dramatic changes, such as the occurrence of phase transitions and t.he creation of defect structures, when viewed at the microscopic scale. How is this observed, how can it be interpreted, and how does it influence macroscopic behavior? These are the principle concerns of this volume, which constitutes the proceedings of an IMA workshop dedicated to these issues.
