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Research In Mathematics Of Materials Science
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Book Synopsis Mathematical Research in Materials Science by : National Research Council
Download or read book Mathematical Research in Materials Science written by National Research Council and published by National Academies Press. This book was released on 1993-02-01 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes fruitful past collaborations between the mathematical and materials sciences and indicates future challenges. It seeks both to encourage mathematical sciences research that will complement vital research in materials science and to raise awareness of the value of quantitative methods. The volume encourages both communities to increase cross-disciplinary collaborations, emphasizing that each has much to gain from such an increase, and it presents recommendations for facilitating such work. This book is written for both mathematical and materials science researchers interested in advancing research at this interface; for federal and state agency representatives interested in encouraging such collaborations; and for anyone wanting information on how such cross-disciplinary, collaborative efforts can be accomplished successfully.
Book Synopsis Research in Mathematics of Materials Science by : Malena I. Español
Download or read book Research in Mathematics of Materials Science written by Malena I. Español and published by Springer Nature. This book was released on 2022-09-27 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume highlights contributions of women mathematicians in the study of complex materials and includes both original research papers and reviews. The featured topics and methods draw on the fields of Calculus of Variations, Partial Differential Equations, Functional Analysis, Differential Geometry and Topology, as well as Numerical Analysis and Mathematical Modelling. Areas of applications include foams, fluid-solid interactions, liquid crystals, shape-memory alloys, magnetic suspensions, failure in solids, plasticity, viscoelasticity, homogenization, crystallization, grain growth, and phase-field models.
Book Synopsis A New Direction in Mathematics for Materials Science by : Susumu Ikeda
Download or read book A New Direction in Mathematics for Materials Science written by Susumu Ikeda and published by Springer. This book was released on 2015-12-08 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first volume of the SpringerBriefs in the Mathematics of Materials and provides a comprehensive guide to the interaction of mathematics with materials science. The anterior part of the book describes a selected history of materials science as well as the interaction between mathematics and materials in history. The emergence of materials science was itself a result of an interdisciplinary movement in the 1950s and 1960s. Materials science was formed by the integration of metallurgy, polymer science, ceramics, solid state physics, and related disciplines. We believe that such historical background helps readers to understand the importance of interdisciplinary interaction such as mathematics–materials science collaboration. The middle part of the book describes mathematical ideas and methods that can be applied to materials problems and introduces some examples of specific studies—for example, computational homology applied to structural analysis of glassy materials, stochastic models for the formation process of materials, new geometric measures for finite carbon nanotube molecules, mathematical technique predicting a molecular magnet, and network analysis of nanoporous materials. The details of these works will be shown in the subsequent volumes of this SpringerBriefs in the Mathematics of Materials series by the individual authors. The posterior section of the book presents how breakthroughs based on mathematics–materials science collaborations can emerge. The authors' argument is supported by the experiences at the Advanced Institute for Materials Research (AIMR), where many researchers from various fields gathered and tackled interdisciplinary research.
Book Synopsis Research in Mathematics of Materials Science by : Malena I. Español
Download or read book Research in Mathematics of Materials Science written by Malena I. Español and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume highlights contributions of women mathematicians in the study of complex materials and includes both original research papers and reviews. The featured topics and methods draw on the fields of Calculus of Variations, Partial Differential Equations, Functional Analysis, Differential Geometry and Topology, as well as Numerical Analysis and Mathematical Modelling. Areas of applications include foams, fluid-solid interactions, liquid crystals, shape-memory alloys, magnetic suspensions, failure in solids, plasticity, viscoelasticity, homogenization, crystallization, grain growth, and phase-field models.
Book Synopsis Mathematical Techniques in Crystallography and Materials Science by : Edward Prince
Download or read book Mathematical Techniques in Crystallography and Materials Science written by Edward Prince and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical guide and reference serves as a unified source book for students and professionals, and it provides a solid basis for further studies in more specialized literature. Based Prince’s decades of practical experience, it can be recommended as an introduction for beginners in crystallography, as a refresher and handy guide for crystallographers working on specific problems, and as a reference for others seeking a dictionary of basic mathematical and crystallographic terms. The third edition further clarifies key points.
Book Synopsis Bayesian Optimization for Materials Science by : Daniel Packwood
Download or read book Bayesian Optimization for Materials Science written by Daniel Packwood and published by Springer. This book was released on 2017-10-04 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a short and concise introduction to Bayesian optimization specifically for experimental and computational materials scientists. After explaining the basic idea behind Bayesian optimization and some applications to materials science in Chapter 1, the mathematical theory of Bayesian optimization is outlined in Chapter 2. Finally, Chapter 3 discusses an application of Bayesian optimization to a complicated structure optimization problem in computational surface science.Bayesian optimization is a promising global optimization technique that originates in the field of machine learning and is starting to gain attention in materials science. For the purpose of materials design, Bayesian optimization can be used to predict new materials with novel properties without extensive screening of candidate materials. For the purpose of computational materials science, Bayesian optimization can be incorporated into first-principles calculations to perform efficient, global structure optimizations. While research in these directions has been reported in high-profile journals, until now there has been no textbook aimed specifically at materials scientists who wish to incorporate Bayesian optimization into their own research. This book will be accessible to researchers and students in materials science who have a basic background in calculus and linear algebra.
Book Synopsis Topics in the Mathematical Modelling of Composite Materials by : Andrej V. Cherkaev
Download or read book Topics in the Mathematical Modelling of Composite Materials written by Andrej V. Cherkaev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Andrej V. Cherkaev and Robert V. Kohn In the past twenty years we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous mate rials. This activity brings together a number of related themes, including: ( 1) the use of weak convergence as a rigorous yet general language for the discussion of macroscopic behavior; (2) interest in new types of questions, particularly the "G-closure problem," motivated in large part by applications of optimal control theory to structural optimization; (3) the introduction of new methods for bounding effective moduli, including one based on "com pensated compactness"; and (4) the identification of deep links between the analysis of microstructures and the multidimensional calculus of variations. This work has implications for many physical problems involving optimal design, composite materials, and coherent phase transitions. As a result it has received attention and support from numerous scientific communities, including engineering, materials science, and physics as well as mathematics. There is by now an extensive literature in this area. But for various reasons certain fundamental papers were never properly published, circu lating instead as mimeographed notes or preprints. Other work appeared in poorly distributed conference proceedings volumes. Still other work was published in standard books or journals, but written in Russian or French. The net effect is a sort of "gap" in the literature, which has made the subject unnecessarily difficult for newcomers to penetrate.
Book Synopsis Concepts of Materials Science by : Adrian P. Sutton
Download or read book Concepts of Materials Science written by Adrian P. Sutton and published by Oxford University Press. This book was released on 2021-06-30 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: All technologies depend on the availability of suitable materials. The progress of civilisation is often measured by the materials people have used, from the stone age to the silicon age. Engineers exploit the relationships between the structure, properties and manufacturing methods of a material to optimise their design and production for particular applications. Scientists seek to understand and predict those relationships. This short book sets out fundamental concepts that underpin the science of materials and emphasizes their relevance to mainstream chemistry, physics and biology. These include the thermodynamic stability of materials in various environments, quantum behaviour governing all matter, and active matter. Others include defects as the agents of change in crystalline materials, materials at the nanoscale, the emergence of new science at increasing length scales in materials, and man-made materials with properties determined by their structure rather than their chemistry. The book provides a unique insight into the essence of materials science at a level suitable for pre-university students and undergraduates of materials science. It will also be suitable for graduates in other subjects contemplating postgraduate study in materials science. Professional materials scientists will also find it stimulating and occasionally provocative.
Book Synopsis Statistical Analysis of Microstructures in Materials Science by : Joachim Ohser
Download or read book Statistical Analysis of Microstructures in Materials Science written by Joachim Ohser and published by John Wiley & Sons. This book was released on 2000-12-19 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation of the origin and formation of microstructures and the effect that microstructure has on the properties of materials are important issues in materials science and technology. Geometrical analysis is often the key to understanding the formation of microstructures and the resulting material properties. The authors make use of mathematical morphology, spatial statistics, image processing, stereology and stochastic geometry to analyze microstructures arising in materials science. * Quantitative microstructure analysis is one of the most successful experimental techniques in materials science * Uses examples to demonstrate the techniques * Program code included enables the reader to apply the numerous algorithms * Accessible to material scientists with limited statistical knowledge Primarily aimed at applied materials scientists, the book will also appeal to those working and researching in earth sciences, material technology, mineralogy, petrography, image analysis, cytology and biology.
Book Synopsis Handbook of Research Design in Mathematics and Science Education by : Anthony Edward Kelly
Download or read book Handbook of Research Design in Mathematics and Science Education written by Anthony Edward Kelly and published by Taylor & Francis. This book was released on 2012-10-12 with total page 995 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Research Design in Mathematics and Science Education is based on results from an NSF-supported project (REC 9450510) aimed at clarifying the nature of principles that govern the effective use of emerging new research designs in mathematics and science education. A primary goal is to describe several of the most important types of research designs that: * have been pioneered recently by mathematics and science educators; * have distinctive characteristics when they are used in projects that focus on mathematics and science education; and * have proven to be especially productive for investigating the kinds of complex, interacting, and adapting systems that underlie the development of mathematics or science students and teachers, or for the development, dissemination, and implementation of innovative programs of mathematics or science instruction. The volume emphasizes research designs that are intended to radically increase the relevance of research to practice, often by involving practitioners in the identification and formulation of the problems to be addressed or in other key roles in the research process. Examples of such research designs include teaching experiments, clinical interviews, analyses of videotapes, action research studies, ethnographic observations, software development studies (or curricula development studies, more generally), and computer modeling studies. This book's second goal is to begin discussions about the nature of appropriate and productive criteria for assessing (and increasing) the quality of research proposals, projects, or publications that are based on the preceding kind of research designs. A final objective is to describe such guidelines in forms that will be useful to graduate students and others who are novices to the fields of mathematics or science education research. The NSF-supported project from which this book developed involved a series of mini conferences in which leading researchers in mathematics and science education developed detailed specifications for the book, and planned and revised chapters to be included. Chapters were also field tested and revised during a series of doctoral research seminars that were sponsored by the University of Wisconsin's OERI-supported National Center for Improving Student Learning and Achievement in Mathematics and Science. In these seminars, computer-based videoconferencing and www-based discussion groups were used to create interactions in which authors of potential chapters served as "guest discussion leaders" responding to questions and comments from doctoral students and faculty members representing more than a dozen leading research universities throughout the USA and abroad. A Web site with additional resource materials related to this book can be found at http://www.soe.purdue.edu/smsc/lesh/ This internet site includes directions for enrolling in seminars, participating in ongoing discussion groups, and submitting or downloading resources which range from videotapes and transcripts, to assessment instruments or theory-based software, to publications or data samples related to the research designs being discussed.
Book Synopsis Numerical Modeling in Materials Science and Engineering by : Michel Rappaz
Download or read book Numerical Modeling in Materials Science and Engineering written by Michel Rappaz and published by Springer Science & Business Media. This book was released on 2010-03-11 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing application to materials science is one of the fastest-growing research areas. This book introduces the concepts and methodologies related to the modeling of the complex phenomena occurring in materials processing. It is intended for undergraduate and graduate students in materials science and engineering, mechanical engineering and physics, and for engineering professionals or researchers.
Book Synopsis Statistical Methods for Materials Science by : Jeffrey P. Simmons
Download or read book Statistical Methods for Materials Science written by Jeffrey P. Simmons and published by CRC Press. This book was released on 2019-02-13 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data analytics has become an integral part of materials science. This book provides the practical tools and fundamentals needed for researchers in materials science to understand how to analyze large datasets using statistical methods, especially inverse methods applied to microstructure characterization. It contains valuable guidance on essential topics such as denoising and data modeling. Additionally, the analysis and applications section addresses compressed sensing methods, stochastic models, extreme estimation, and approaches to pattern detection.
Book Synopsis Variational Problems in Materials Science by : Gianni Dal Maso
Download or read book Variational Problems in Materials Science written by Gianni Dal Maso and published by Springer Science & Business Media. This book was released on 2006-06-23 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the international workshop Variational Problems in Materials Science. Coverage includes the study of BV vector fields, path functionals over Wasserstein spaces, variational approaches to quasi-static evolution, free-discontinuity problems with applications to fracture and plasticity, systems with hysteresis or with interfacial energies, evolution of interfaces, multi-scale analysis in ferromagnetism and ferroelectricity, and much more.
Book Synopsis Multiscale Paradigms in Integrated Computational Materials Science and Engineering by : Pierre Deymier
Download or read book Multiscale Paradigms in Integrated Computational Materials Science and Engineering written by Pierre Deymier and published by Springer. This book was released on 2015-11-25 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents cutting-edge concepts, paradigms, and research highlights in the field of computational materials science and engineering, and provides a fresh, up-to-date perspective on solving present and future materials challenges. The chapters are written by not only pioneers in the fields of computational materials chemistry and materials science, but also experts in multi-scale modeling and simulation as applied to materials engineering. Pedagogical introductions to the different topics and continuity between the chapters are provided to ensure the appeal to a broad audience and to address the applicability of integrated computational materials science and engineering for solving real-world problems.
Book Synopsis Mathematical and Computational Aspects of Materials Science by : Maria-Carme T. Calderer
Download or read book Mathematical and Computational Aspects of Materials Science written by Maria-Carme T. Calderer and published by . This book was released on 2015 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Micromechanics of Heterogeneous Materials by : Valeriy Buryachenko
Download or read book Micromechanics of Heterogeneous Materials written by Valeriy Buryachenko and published by Springer Science & Business Media. This book was released on 2007-09-20 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is an accurate and timely account of micromechanics, which spans materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. The book features rigorous and unified theoretical methods of applied mathematics and statistical physics in the material science of microheterogeneous media. Uniquely, it offers a useful demonstration of the systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature.
Book Synopsis Theory and Simulation in Physics for Materials Applications by : Elena V. Levchenko
Download or read book Theory and Simulation in Physics for Materials Applications written by Elena V. Levchenko and published by Springer Nature. This book was released on 2020-02-14 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique and comprehensive overview of the latest advances, challenges and accomplishments in the rapidly growing field of theoretical and computational materials science. Today, an increasing number of industrial communities rely more and more on advanced atomic-scale methods to obtain reliable predictions of materials properties, complement qualitative experimental analyses and circumvent experimental difficulties. The book examines some of the latest and most advanced simulation techniques currently available, as well as up-to-date theoretical approaches adopted by a selected panel of twelve international research teams. It covers a wide range of novel and advanced materials, exploring their structural, elastic, optical, mass and electronic transport properties. The cutting-edge techniques presented appeal to physicists, applied mathematicians and engineers interested in advanced simulation methods in materials science. The book can also be used as additional literature for undergraduate and postgraduate students with majors in physics, chemistry, applied mathematics and engineering.
