The Equations of Materials

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Publisher : Oxford University Press
ISBN 13 : 0192592912
Total Pages : 288 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis The Equations of Materials by : Brian Cantor

Download or read book The Equations of Materials written by Brian Cantor and published by Oxford University Press. This book was released on 2020-07-24 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer describes important equations of materials and the scientists who derived them. It provides an excellent introduction to the subject by making the material accessible and enjoyable. The book is dedicated to a number of propositions: 1. The most important equations are often simple and easily explained; 2. The most important equations are often experimental, confirmed time and again; 3. The most important equations have been derived by remarkable scientists who lived interesting lives. Each chapter covers a single equation and materials subject, and is structured in three sections: first, a description of the equation itself; second, a short biography of the scientist after whom it is named; and third, a discussion of some of the ramifications and applications of the equation. The biographical sections intertwine the personal and professional life of the scientist with contemporary political and scientific developments. Topics included are: Bravais lattices and crystals; Bragg's law and diffraction; the Gibbs phase rule and phases; Boltzmann's equation and thermodynamics; the Arrhenius equation and reactions; the Gibbs-Thomson equation and surfaces; Fick's laws and diffusion; the Scheil equation and solidification; the Avrami equation and phase transformations; Hooke's law and elasticity; the Burgers vector and plasticity; Griffith's equation and fracture; and the Fermi level and electrical properties. The book is written for students interested in the manufacture, structure, properties and engineering application of materials such as metals, polymers, ceramics, semiconductors and composites. It requires only a working knowledge of school maths, mainly algebra and simple calculus.

The Equations of Materials

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Author :
Publisher : Oxford University Press, USA
ISBN 13 : 0198851871
Total Pages : 328 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis The Equations of Materials by : Brian Cantor

Download or read book The Equations of Materials written by Brian Cantor and published by Oxford University Press, USA. This book was released on 2020-02-05 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer describes important equations of materials and the scientists who derived them. It provides an excellent introduction to the subject by making the material accessible and enjoyable. The book is dedicated to a number of propositions: 1. The most important equations are often simple and easily explained; 2. The most important equations are often experimental, confirmed time and again; 3. The most important equations have been derived by remarkable scientists who lived interesting lives. Each chapter covers a single equation and materials subject, and is structured in three sections: first, a description of the equation itself; second, a short biography of the scientist after whom it is named; and third, a discussion of some of the ramifications and applications of the equation. The biographical sections intertwine the personal and professional life of the scientist with contemporary political and scientific developments. Topics included are: Bravais lattices and crystals; Bragg's law and diffraction; the Gibbs phase rule and phases; Boltzmann's equation and thermodynamics; the Arrhenius equation and reactions; the Gibbs-Thomson equation and surfaces; Fick's laws and diffusion; the Scheil equation and solidification; the Avrami equation and phase transformations; Hooke's law and elasticity; the Burgers vector and plasticity; Griffith's equation and fracture; and the Fermi level and electrical properties. The book is written for students interested in the manufacture, structure, properties and engineering application of materials such as metals, polymers, ceramics, semiconductors and composites. It requires only a working knowledge of school maths, mainly algebra and simple calculus.

The Equations of Materials

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Author :
Publisher :
ISBN 13 : 9781523139224
Total Pages : 328 pages
Book Rating : 4.1/5 (392 download)

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Book Synopsis The Equations of Materials by : B. Cantor

Download or read book The Equations of Materials written by B. Cantor and published by . This book was released on 2020 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Equations of Materials

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Author :
Publisher :
ISBN 13 : 9780191886683
Total Pages : pages
Book Rating : 4.8/5 (866 download)

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Book Synopsis The Equations of Materials by : B. Cantor

Download or read book The Equations of Materials written by B. Cantor and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes some of the important equations of materials and the scientists who derived them. The text is readable and enjoyable, and is aimed at anyone interested in the manufacture, structure, properties and engineering application of materials such as metals, polymers, ceramics, semiconductors and composites.

Constitutive Equations for Engineering Materials

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Publisher : Elsevier
ISBN 13 : 1483101967
Total Pages : 595 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Constitutive Equations for Engineering Materials by : Wai-Fah Chen

Download or read book Constitutive Equations for Engineering Materials written by Wai-Fah Chen and published by Elsevier. This book was released on 2013-10-22 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constitutive Equations for Engineering Materials, Volume 1: Elasticity and Modeling, Revised Edition focuses on theories on elasticity and plasticity of engineering materials. The book first discusses vectors and tensors. Coordinate systems, vector algebra, scalar products, vector products, transformation of coordinates, indicial notation and summation convention, and triple products are then discussed. The text also ponders on analysis of stress and strain and presents numerical analysis. The book then discusses elastic stress-strain relations. Basic assumptions; need for elastic models; isotropic linear stress-strain relations; principle of virtual work; strain energy and complementary energy density in elastic solids; and incremental relations grounded on secant moduli are described. The text also explains linear elasticity and failure criteria for concrete and non-linear elasticity and hypoelastic models for concrete. The selection further tackles soil elasticity and failure criteria. Mechanical behavior of soils; failure criteria of soils; and incremental stress-strain models based on modification of the isotropic linear elastic formulation are considered. The text is a good source of data for readers interested in studying the elasticity and plasticity of engineering materials.

Dynamic Behavior of Materials

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Publisher : John Wiley & Sons
ISBN 13 : 9780471582625
Total Pages : 694 pages
Book Rating : 4.5/5 (826 download)

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Book Synopsis Dynamic Behavior of Materials by : Marc A. Meyers

Download or read book Dynamic Behavior of Materials written by Marc A. Meyers and published by John Wiley & Sons. This book was released on 1994-10-28 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses fundamentals and advanced topics relevant to the behavior of materials under in-service conditions such as impact, shock, stress and high-strain rate deformations. Deals extensively with materials from a microstructure perspective which is the future direction of research today.

The Equations World

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Publisher : Courier Dover Publications
ISBN 13 : 048684305X
Total Pages : 337 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Equations World by : Boris Pritsker

Download or read book The Equations World written by Boris Pritsker and published by Courier Dover Publications. This book was released on 2019-08-14 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations are the lifeblood of mathematics, science, and technology, and this book examines equations of all kinds. With his masterful ability to convey the excitement and elegance of mathematics, author Boris Pritsker explores equations from the simplest to the most complex—their history, their charm, and their usefulness in solving problems. The Equations World bridges the fields of algebra, geometry, number theory, and trigonometry, solving more than 280 problems by employing a wide spectrum of techniques. The author demystifies the subject with efficient hints, tricks, and methods that reveal the fun and satisfaction of problem solving. He also demonstrates how equations can serve as important tools for expressing a problem's data, showing the ways in which they assist in fitting parts together to solve the whole puzzle. In addition, brief historical tours reveal the foundations of mathematical thought by tracing the ideas and approaches developed by mathematicians over the centuries. Both recreational mathematicians and ambitious students will find this book an ample source of enlightenment and enjoyment.

Constitutive Equations for Engineering Materials

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (359 download)

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Book Synopsis Constitutive Equations for Engineering Materials by : Wai-Fah Chen

Download or read book Constitutive Equations for Engineering Materials written by Wai-Fah Chen and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Development of the Equations of Electromagnetism in Material Continua

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461396794
Total Pages : 159 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis A Development of the Equations of Electromagnetism in Material Continua by : Harry F. Tiersten

Download or read book A Development of the Equations of Electromagnetism in Material Continua written by Harry F. Tiersten and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tract is based on lecture notes for a course in mechanics that has been offered at Rensselaer Polytechnic Institute on and off for the past twenty years. The course is intended to provide graduate students in mechanics with an understanding of electromagnetism and prepare them for studies on the interaction of the electric and magnetic fields with deformable solid continua. As such, it is imperative that the distinction between particle and continuum descriptions of matter be carefully made and that the distinction between that which is inherently linear and that which is intrinsically nonlinear be clearly delineated. Every possible effort has been made on my part to achieve these ends. I wish to acknowledge the contributions of a number of students and faculty who attended the lectures over the years and who, by their questions and suggestions, significantly improved some of the sections. This preface would not be complete if I did not point out that my interest in electromagnetism was initiated and my attitude towards the development of the equations was influenced by lectures given by the late Professor R.D. Mindlin at Columbia University in the late nineteen fifties. I would like to thank Professor C. Truesdell for his helpful suggestions, which I feel significantly improved the clarity and readability of the Introduction, and Dr. M.G. Ancona for his comment concerning the clarity of an important point in Sec. 1.1.

The Cahn–Hilliard Equation: Recent Advances and Applications

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Publisher : SIAM
ISBN 13 : 1611975921
Total Pages : 216 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis The Cahn–Hilliard Equation: Recent Advances and Applications by : Alain Miranville

Download or read book The Cahn–Hilliard Equation: Recent Advances and Applications written by Alain Miranville and published by SIAM. This book was released on 2019-09-09 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to present a detailed discussion of both classical and recent results on the popular Cahn–Hilliard equation and some of its variants. The focus is on mathematical analysis of Cahn–Hilliard models, with an emphasis on thermodynamically relevant logarithmic nonlinear terms, for which several questions are still open. Initially proposed in view of applications to materials science, the Cahn–Hilliard equation is now applied in many other areas, including image processing, biology, ecology, astronomy, and chemistry. In particular, the author addresses applications to image inpainting and tumor growth. Many chapters include open problems and directions for future research. The Cahn-Hilliard Equation: Recent Advances and Applications is intended for graduate students and researchers in applied mathematics, especially those interested in phase separation models and their generalizations and applications to other fields. Materials scientists also will find this text of interest.

Ordinary Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0883857235
Total Pages : 142 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Ordinary Differential Equations by : David A. Sanchez

Download or read book Ordinary Differential Equations written by David A. Sanchez and published by American Mathematical Soc.. This book was released on 2002-12-31 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the instructor or student confronting an introductory course in ordinary differential equations there is a need for a brief guide to the key concepts in the subject. Important topics like stability, resonance, existence of periodic solutions, and the essential role of continuation of solutions are often engulfed in a sea of exercises in integration, linear algebra theory, computer programming and an overdose of series expansions. This book is intended as that guide. It is more conceptual than definitive and more light-hearted than pedagogic. It covers key topics and theoretical underpinnings that are necessary for the study of rich topics like nonlinear equations or stability theory. The [Author]; has included a great many illuminating examples and discussions that uncover the conceptual heart of the matter.

Constitutive Equations for Engineering Materials

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Publisher :
ISBN 13 :
Total Pages : 580 pages
Book Rating : 4.:/5 (81 download)

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Book Synopsis Constitutive Equations for Engineering Materials by : Wai-Fah Chen

Download or read book Constitutive Equations for Engineering Materials written by Wai-Fah Chen and published by . This book was released on 1982 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modelling of Materials Processing

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Publisher : Springer Science & Business Media
ISBN 13 : 1461558131
Total Pages : 936 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Modelling of Materials Processing by : Gregory C. Stangle

Download or read book Modelling of Materials Processing written by Gregory C. Stangle and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about mathematical modelling. It focuses on the modelling of the preparation of materials. Materials are important, of course, in an economic sense: the "goods" of goods-and-services are made of materials. This provides a strong incentive to produce good materials and to improve existing materials. Mathematical modelling can help in this regard. Without a doubt, modelling a materials processing operation is not strictly necessary. Materials synthesis and fabrication processes certainly existed before the invention of mathematics and computers, and well before the combined use of mathematics and computers. Modelling can, however, be of assistance--if done properly--and if used properly. The mathematical modelling described in this book is, at its root, a rather formal, structured way of thinking about materials synthesis and fabrication processes. It requires looking at a process as a whole. It requires considering everything that is or might be important. It requires translating the details of a given physical process into one or more mathematical equations. It requires knowing how to simplify the equations without over-simplifying them.

Strength of Materials

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Publisher : Butterworth-Heinemann
ISBN 13 : 0750674024
Total Pages : 774 pages
Book Rating : 4.7/5 (56 download)

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Book Synopsis Strength of Materials by : Surya Patnaik

Download or read book Strength of Materials written by Surya Patnaik and published by Butterworth-Heinemann. This book was released on 2004 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: Determinate truss -- Simple beam -- Determinate shaft -- Simple frames -- Indeterminate truss -- Indeterminate beam -- Indeterminate shaft -- Indeterminate frame -- Two-dimensional structures -- Column buckling -- Energy theorems -- Finite element method -- Special topics.

Mechanics of Materials – Formulas and Problems

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Publisher : Springer
ISBN 13 : 3662538806
Total Pages : 219 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Mechanics of Materials – Formulas and Problems by : Dietmar Gross

Download or read book Mechanics of Materials – Formulas and Problems written by Dietmar Gross and published by Springer. This book was released on 2016-11-25 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the most important formulas and more than 140 completely solved problems from Mechanics of Materials and Hydrostatics. It provides engineering students material to improve their skills and helps to gain experience in solving engineering problems. Particular emphasis is placed on finding the solution path and formulating the basic equations. Topics include: - Stress - Strain - Hooke’s Law - Tension and Compression in Bars - Bending of Beams - Torsion - Energy Methods - Buckling of Bars - Hydrostatics

Materials

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Publisher : John Wiley & Sons
ISBN 13 : 1119281008
Total Pages : 686 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Materials by : Witold Brostow

Download or read book Materials written by Witold Brostow and published by John Wiley & Sons. This book was released on 2016-09-06 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a fully interdisciplinary approach with a stronger emphasis on polymers and composites than traditional materials books Materials science and engineering is an interdisciplinary field involving the properties of matter and its applications to various areas of science and engineering. Polymer materials are often mixed with inorganic materials to enhance their mechanical, electrical, thermal, and physical properties. Materials: Introduction and Applications addresses a gap in the existing textbooks on materials science. This book focuses on three Units. The first, Foundations, includes basic materials topics from Intermolecular Forces and Thermodynamics and Phase Diagrams to Crystalline and Non-Crystalline Structures. The second Units, Materials, goes into the details of many materials including Metals, Ceramics, Organic Raw Materials, Polymers, Composites, Biomaterials, and Liquid Crystals and Smart Materials. The third and final unit details Behavior and Properties including Rheological, Mechanical, Thermophysical, Color and Optical, Electrical and Dielectric, Magnetic, Surface Behavior and Tribology, Materials, Environment and Sustainability, and Testing of Materials. Materials: Introduction and Applications features: Basic and advanced Materials concepts Interdisciplinary information that is otherwise scattered consolidated into one work Links to everyday life application like electronics, airplanes, and dental materials Certain topics to be discussed in this textbook are more advanced. These will be presented in shaded gray boxes providing a two-level approach. Depending on whether you are a student of Mechanical Engineering, Electrical Engineering, Engineering Technology, MSE, Chemistry, Physics, etc., you can decide for yourself whether a topic presented on a more advanced level is not important for you—or else essential for you given your professional profile Witold Brostow is Regents Professor of Materials Science and Engineering at the University of North Texas. He is President of the International Council on Materials Education and President of the Scientific Committee of the POLYCHAR World Forum on Advanced Material (42 member countries). He has three honorary doctorates and is a Member of the European Academy of Sciences, Member of the National Academy of Sciences of Mexico, Foreign Member of the National Academy of Engineering of Georgia in Tbilisi and Fellow of the Royal Society of Chemistry in London. His publications have been cited more than 7200 times. Haley Hagg Lobland is the Associate Director of LAPOM at the University of North Texas. She is a Member of the POLYCHAR Scientific Committeee. She has received awards for her research presented at conferences in: Buzios, Rio de Janeiro, Brazil; NIST, Frederick, Maryland; Rouen, France; and Lviv, Ukraine. She has lectured in a number of countries including Poland and Spain. Her publications include joint ones with colleagues in Egypt, Georgia, Germany, India, Israel, Mexico, Poland, Turkey and United Kingdom.

Introduction to Computational Materials Science

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107328144
Total Pages : 429 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Introduction to Computational Materials Science by : Richard LeSar

Download or read book Introduction to Computational Materials Science written by Richard LeSar and published by Cambridge University Press. This book was released on 2013-03-28 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasising essential methods and universal principles, this textbook provides everything students need to understand the basics of simulating materials behaviour. All the key topics are covered from electronic structure methods to microstructural evolution, appendices provide crucial background material, and a wealth of practical resources are available online to complete the teaching package. Modelling is examined at a broad range of scales, from the atomic to the mesoscale, providing students with a solid foundation for future study and research. Detailed, accessible explanations of the fundamental equations underpinning materials modelling are presented, including a full chapter summarising essential mathematical background. Extensive appendices, including essential background on classical and quantum mechanics, electrostatics, statistical thermodynamics and linear elasticity, provide the background necessary to fully engage with the fundamentals of computational modelling. Exercises, worked examples, computer codes and discussions of practical implementations methods are all provided online giving students the hands-on experience they need.