Research In Mathematics Of Materials Science

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Mathematical Research in Materials Science

National Research Council,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Committee on Mathematical Sciences Applied to Materials Science
Mathematical Research in Materials Science Book PDF

Author : National Research Council,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Committee on Mathematical Sciences Applied to Materials Science
Publisher : National Academies Press
Page : 142 pages
File Size : 50,6 Mb
Release : 1993-02-01
Category : Technology & Engineering
ISBN : 9780309049306

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Mathematical Research in Materials Science by National Research Council,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Committee on Mathematical Sciences Applied to Materials Science Pdf

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.

Research in Mathematics of Materials Science

Malena I. Español,Marta Lewicka,Lucia Scardia,Anja Schlömerkemper
Research in Mathematics of Materials Science Book PDF

Author : Malena I. Español,Marta Lewicka,Lucia Scardia,Anja Schlömerkemper
Publisher : Springer Nature
Page : 514 pages
File Size : 43,8 Mb
Release : 2022-09-27
Category : Mathematics
ISBN : 9783031044960

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Research in Mathematics of Materials Science by Malena I. Español,Marta Lewicka,Lucia Scardia,Anja Schlömerkemper Pdf

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.

A New Direction in Mathematics for Materials Science

Susumu Ikeda,Motoko Kotani
A New Direction in Mathematics for Materials Science Book PDF

Author : Susumu Ikeda,Motoko Kotani
Publisher : Springer
Page : 86 pages
File Size : 53,9 Mb
Release : 2015-12-08
Category : Mathematics
ISBN : 9784431558644

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A New Direction in Mathematics for Materials Science by Susumu Ikeda,Motoko Kotani Pdf

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.

Research in Mathematics of Materials Science

Malena I. Español,Marta Lewicka,Lucia Scardia,Anja Schlömerkemper
Research in Mathematics of Materials Science Book PDF

Author : Malena I. Español,Marta Lewicka,Lucia Scardia,Anja Schlömerkemper
Publisher : Unknown
Page : 0 pages
File Size : 46,7 Mb
Release : 2022
Category : Electronic books
ISBN : 8303104497

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Research in Mathematics of Materials Science by Malena I. Español,Marta Lewicka,Lucia Scardia,Anja Schlömerkemper Pdf

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.

Mathematical Techniques in Crystallography and Materials Science

Edward Prince
Mathematical Techniques in Crystallography and Materials Science Book PDF

Author : Edward Prince
Publisher : Springer Science & Business Media
Page : 224 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642187117

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Mathematical Techniques in Crystallography and Materials Science by Edward Prince Pdf

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.

Numerical Modeling in Materials Science and Engineering

Michel Rappaz,Michel Bellet,Michel Deville
Numerical Modeling in Materials Science and Engineering Book PDF

Author : Michel Rappaz,Michel Bellet,Michel Deville
Publisher : Springer Science & Business Media
Page : 544 pages
File Size : 42,7 Mb
Release : 2010-03-11
Category : Technology & Engineering
ISBN : 9783642118210

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Numerical Modeling in Materials Science and Engineering by Michel Rappaz,Michel Bellet,Michel Deville Pdf

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.

Bayesian Optimization for Materials Science

Daniel Packwood
Bayesian Optimization for Materials Science Book PDF

Author : Daniel Packwood
Publisher : Springer
Page : 42 pages
File Size : 52,7 Mb
Release : 2017-10-04
Category : Technology & Engineering
ISBN : 9789811067815

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Bayesian Optimization for Materials Science by Daniel Packwood Pdf

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.

Statistical Methods for Materials Science

Jeffrey P. Simmons,Lawrence F. Drummy,Charles A. Bouman,Marc De Graef
Statistical Methods for Materials Science Book PDF

Author : Jeffrey P. Simmons,Lawrence F. Drummy,Charles A. Bouman,Marc De Graef
Publisher : CRC Press
Page : 690 pages
File Size : 47,9 Mb
Release : 2019-02-13
Category : Technology & Engineering
ISBN : 9781351647380

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Statistical Methods for Materials Science by Jeffrey P. Simmons,Lawrence F. Drummy,Charles A. Bouman,Marc De Graef Pdf

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.

Variational Problems in Materials Science

Gianni Dal Maso,Antonio de Simone,Franco Tomarelli
Variational Problems in Materials Science Book PDF

Author : Gianni Dal Maso,Antonio de Simone,Franco Tomarelli
Publisher : Springer Science & Business Media
Page : 166 pages
File Size : 50,5 Mb
Release : 2006-06-23
Category : Technology & Engineering
ISBN : 9783764375652

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Variational Problems in Materials Science by Gianni Dal Maso,Antonio de Simone,Franco Tomarelli Pdf

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.

Multiscale Paradigms in Integrated Computational Materials Science and Engineering

Pierre Deymier,Keith Runge,Krishna Muralidharan
Multiscale Paradigms in Integrated Computational Materials Science and Engineering Book PDF

Author : Pierre Deymier,Keith Runge,Krishna Muralidharan
Publisher : Springer
Page : 300 pages
File Size : 45,6 Mb
Release : 2015-11-25
Category : Science
ISBN : 9783319245294

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Multiscale Paradigms in Integrated Computational Materials Science and Engineering by Pierre Deymier,Keith Runge,Krishna Muralidharan Pdf

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.

Mathematics and Materials

Mark J. Bowick,David Kinderlehrer,Govind Menon,Charles Radin
Mathematics and Materials Book PDF

Author : Mark J. Bowick,David Kinderlehrer,Govind Menon,Charles Radin
Publisher : American Mathematical Soc.
Page : 327 pages
File Size : 47,5 Mb
Release : 2017-08-25
Category : Convex and discrete geometry -- Discrete geometry -- Quasicrystals, aperiodic tilings
ISBN : 9781470429195

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Mathematics and Materials by Mark J. Bowick,David Kinderlehrer,Govind Menon,Charles Radin Pdf

A co-publication of the AMS, IAS/Park City Mathematics Institute, and Society for Industrial and Applied Mathematics Articles in this volume are based on lectures presented at the Park City summer school on “Mathematics and Materials” in July 2014. The central theme is a description of material behavior that is rooted in statistical mechanics. While many presentations of mathematical problems in materials science begin with continuum mechanics, this volume takes an alternate approach. All the lectures present unique pedagogical introductions to the rich variety of material behavior that emerges from the interplay of geometry and statistical mechanics. The topics include the order-disorder transition in many geometric models of materials including nonlinear elasticity, sphere packings, granular materials, liquid crystals, and the emerging field of synthetic self-assembly. Several lectures touch on discrete geometry (especially packing) and statistical mechanics. The problems discussed in this book have an immediate mathematical appeal and are of increasing importance in applications, but are not as widely known as they should be to mathematicians interested in materials science. The volume will be of interest to graduate students and researchers in analysis and partial differential equations, continuum mechanics, condensed matter physics, discrete geometry, and mathematical physics. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price. NOTE: This discount does not apply to volumes in this series co-published with the Society for Industrial and Applied Mathematics (SIAM).

Materials Physics and Chemistry

Satya Bir Singh,Alexander V. Vakhrushev,A. K. Haghi
Materials Physics and Chemistry Book PDF

Author : Satya Bir Singh,Alexander V. Vakhrushev,A. K. Haghi
Publisher : CRC Press
Page : 309 pages
File Size : 42,6 Mb
Release : 2020-11-02
Category : Mathematics
ISBN : 9781000727951

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Materials Physics and Chemistry by Satya Bir Singh,Alexander V. Vakhrushev,A. K. Haghi Pdf

This volume focuses on the development and application of fundamental concepts in mechanics and physics of solids as they pertain to the solution of challenging new problems in diverse areas, such as materials science and micro- and nanotechnology. In this volume, emphasis is placed on the development of fundamental concepts of mechanics and novel applications of these concepts based on theoretical, experimental, or computational approaches, drawing upon the various branches of engineering science and the allied areas within applied mathematics, materials science, and applied physics. Materials Physics and Chemistry: Applied Mathematics and Chemo-Mechanical Analysis emphasizes the basics, such as design, equilibrium, material behavior, and geometry of deformation in simple structures or machines. Readers will find a thorough treatment of stress, strain, and the stress-strain relationships. Meanwhile it provides a solid foundation upon which readers can begin work in composite materials science and engineering. Many chapters include theory components with the equations students need to calculate different properties.

Micromechanics of Heterogeneous Materials

Valeriy Buryachenko
Micromechanics of Heterogeneous Materials Book PDF

Author : Valeriy Buryachenko
Publisher : Springer Science & Business Media
Page : 704 pages
File Size : 43,6 Mb
Release : 2007-09-20
Category : Science
ISBN : 9780387684857

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Micromechanics of Heterogeneous Materials by Valeriy Buryachenko Pdf

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.

Materials Behavior

Mihai Ciocoiu
Materials Behavior Book PDF

Author : Mihai Ciocoiu
Publisher : CRC Press
Page : 338 pages
File Size : 53,5 Mb
Release : 2018-06-26
Category : Science
ISBN : 9780429845345

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Materials Behavior by Mihai Ciocoiu Pdf

The development of advanced materials has become extremely important in the last decade, being widely used in academic and industrial research. This book examines the potential of advanced materials as well as nanotechnology to improve fiber science from fibril to fabric mode, to create better materials and products for a variety of aspects. The book presents research advances in materials behavior using fractal analysis, mathematical modeling and simulation, and other methods. Examined are electrical, mechanical, optical, and magnetic properties; size; morphology; and chemical behavior of such materials as aerogels, polymer films, nanocomposite materials, natural composites, catalysis, and more with a view to their application in the medical, engineering, and textile fields. With chapters written by eminent scientists, the book offers valuable information for academics, researchers, and engineering professionals. Contributions range from new methods to novel applications of existing methods to help readers gain understanding of the material and/or structural behavior of new and advanced systems.

Theory and Simulation in Physics for Materials Applications

Elena V. Levchenko,Yannick J. Dappe,Guido Ori
Theory and Simulation in Physics for Materials Applications Book PDF

Author : Elena V. Levchenko,Yannick J. Dappe,Guido Ori
Publisher : Springer Nature
Page : 292 pages
File Size : 50,5 Mb
Release : 2020-02-14
Category : Technology & Engineering
ISBN : 9783030377908

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Theory and Simulation in Physics for Materials Applications by Elena V. Levchenko,Yannick J. Dappe,Guido Ori Pdf

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.