The Equations Of Materials

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The Equations of Materials

Author : Brian Cantor
Publisher : Oxford University Press, USA
Page : 328 pages
File Size : 45,9 Mb
Release : 2020-02-05
Category : Science
ISBN : 9780198851875

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The Equations of Materials by Brian Cantor Pdf

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

Author : Brian Cantor
Publisher : Oxford University Press
Page : 288 pages
File Size : 53,9 Mb
Release : 2020-07-24
Category : Science
ISBN : 9780192592910

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The Equations of Materials by Brian Cantor Pdf

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

Author : B. Cantor
Publisher : Unknown
Page : 128 pages
File Size : 49,7 Mb
Release : 2020
Category : Electronic books
ISBN : 0191886688

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The Equations of Materials by B. Cantor Pdf

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

Author : Wai-Fah Chen,Atef F. Saleeb
Publisher : Elsevier
Page : 594 pages
File Size : 42,6 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483101965

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Constitutive Equations for Engineering Materials by Wai-Fah Chen,Atef F. Saleeb Pdf

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.

Constitutive Equations for Engineering Materials

Author : Wai-Fah Chen,Atef Fatthy Saleeb
Publisher : Unknown
Page : 128 pages
File Size : 53,6 Mb
Release : 1980
Category : Continuum mechanics
ISBN : OCLC:35914233

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Constitutive Equations for Engineering Materials by Wai-Fah Chen,Atef Fatthy Saleeb Pdf

A Development of the Equations of Electromagnetism in Material Continua

Author : Harry F. Tiersten
Publisher : Springer Science & Business Media
Page : 158 pages
File Size : 47,8 Mb
Release : 2013-03-07
Category : Science
ISBN : 9781461396796

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A Development of the Equations of Electromagnetism in Material Continua by Harry F. Tiersten Pdf

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.

Constitutive Equations for Engineering Materials

Author : Wai-Fah Chen,Atef Fatthy Saleeb
Publisher : Unknown
Page : 580 pages
File Size : 41,5 Mb
Release : 1982
Category : Elasticity
ISBN : LCCN:81016433

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Constitutive Equations for Engineering Materials by Wai-Fah Chen,Atef Fatthy Saleeb Pdf

Materials Kinetics

Author : John C. Mauro
Publisher : Elsevier
Page : 554 pages
File Size : 55,6 Mb
Release : 2020-11-22
Category : Technology & Engineering
ISBN : 9780128242162

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Materials Kinetics by John C. Mauro Pdf

Materials Kinetics: Transport and Rate Phenomena provides readers with a clear understanding of how physical-chemical principles are applied to fundamental kinetic processes. The book integrates advanced concepts with foundational knowledge and cutting-edge computational approaches, demonstrating how diffusion, morphological evolution, viscosity, relaxation and other kinetic phenomena can be applied to practical materials design problems across all classes of materials. The book starts with an overview of thermodynamics, discussing equilibrium, entropy, and irreversible processes. Subsequent chapters focus on analytical and numerical solutions of the diffusion equation, covering Fick’s laws, multicomponent diffusion, numerical solutions, atomic models, and diffusion in crystals, polymers, glasses, and polycrystalline materials. Dislocation and interfacial motion, kinetics of phase separation, viscosity, and advanced nucleation theories are examined next, followed by detailed analyses of glass transition and relaxation behavior. The book concludes with a series of chapters covering molecular dynamics, energy landscapes, broken ergodicity, chemical reaction kinetics, thermal and electrical conductivities, Monte Carlo simulation techniques, and master equations. Covers the full breadth of materials kinetics, including organic and inorganic materials, solids and liquids, theory and experiments, macroscopic and microscopic interpretations, and analytical and computational approaches Demonstrates how diffusion, viscosity microstructural evolution, relaxation, and other kinetic phenomena can be leveraged in the practical design of new materials Provides a seamless connection between thermodynamics and kinetics Includes practical exercises that reinforce key concepts at the end of each chapter

Modelling of Materials Processing

Author : Gregory C. Stangle
Publisher : Springer Science & Business Media
Page : 936 pages
File Size : 52,9 Mb
Release : 2013-11-27
Category : Technology & Engineering
ISBN : 9781461558132

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Modelling of Materials Processing by Gregory C. Stangle Pdf

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.

Thermodynamics of Materials with Memory

Author : Giovambattista Amendola,Mauro Fabrizio,John Murrough Golden
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 44,8 Mb
Release : 2011-11-18
Category : Mathematics
ISBN : 9781461416920

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Thermodynamics of Materials with Memory by Giovambattista Amendola,Mauro Fabrizio,John Murrough Golden Pdf

This is a work in four parts, dealing with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations which describe their evolution in time under varying loads. The first part is an introduction to Continuum Mechanics with sections dealing with classical Fluid Mechanics and Elasticity, linear and non-linear. The second part is devoted to Continuum Thermodynamics, which is used to derive constitutive equations of materials with memory, including viscoelastic solids, fluids, heat conductors and some examples of non-simple materials. In part three, free energies for materials with linear memory constitutive relations are comprehensively explored. The new concept of a minimal state is also introduced. Formulae derived over the last decade for the minimum and related free energies are discussed in depth. Also, a new single integral free energy which is a functional of the minimal state is analyzed in detail. Finally, free energies for examples of non-simple materials are considered. In the final part, existence, uniqueness and stability results are presented for the integrodifferential equations describing the dynamical evolution of viscoelastic materials. A new approach to these topics, based on the use of minimal states rather than histories, is discussed in detail. There are also chapters on the controllability of thermoelastic systems with memory, the Saint-Venant problem for viscoelastic materials and on the theory of inverse problems.

Strength of Materials

Author : Surya Patnaik,Dale Hopkins
Publisher : Butterworth-Heinemann
Page : 774 pages
File Size : 40,7 Mb
Release : 2004
Category : Technology & Engineering
ISBN : 9780750674027

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Strength of Materials by Surya Patnaik,Dale Hopkins Pdf

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.

Strength of Materials

Author : J. P. Den Hartog
Publisher : Courier Corporation
Page : 354 pages
File Size : 54,8 Mb
Release : 2012-06-28
Category : Science
ISBN : 9780486156903

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Strength of Materials by J. P. Den Hartog Pdf

In addition to coverage of customary elementary subjects (tension, torsion, bending, etc.), this introductory text features advanced material on engineering methods and applications, plus 350 problems and answers. 1949 edition.

Mechanics of Materials – Formulas and Problems

Author : Dietmar Gross,Wolfgang Ehlers,Peter Wriggers,Jörg Schröder,Ralf Müller
Publisher : Springer
Page : 212 pages
File Size : 46,7 Mb
Release : 2016-11-25
Category : Technology & Engineering
ISBN : 9783662538807

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Mechanics of Materials – Formulas and Problems by Dietmar Gross,Wolfgang Ehlers,Peter Wriggers,Jörg Schröder,Ralf Müller Pdf

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

Statics and Mechanics of Materials

Author : William F. Riley,Leroy D. Sturges,Don H. Morris
Publisher : John Wiley & Sons
Page : 738 pages
File Size : 42,5 Mb
Release : 2001-10-30
Category : Science
ISBN : 9780471434467

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Statics and Mechanics of Materials by William F. Riley,Leroy D. Sturges,Don H. Morris Pdf

The second edition of Statics and Mechanics of Materials: An Integrated Approach continues to present students with an emphasis on the fundamental principles, with numerous applications to demonstrate and develop logical, orderly methods of procedure. Furthermore, the authors have taken measure to ensure clarity of the material for the student. Instead of deriving numerous formulas for all types of problems, the authors stress the use of free-body diagrams and the equations of equilibrium, together with the geometry of the deformed body and the observed relations between stress and strain, for the analysis of the force system action of a body.

Dynamic Behavior of Materials

Author : Marc A. Meyers
Publisher : John Wiley & Sons
Page : 694 pages
File Size : 50,6 Mb
Release : 1994-10-28
Category : Science
ISBN : 047158262X

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Dynamic Behavior of Materials by Marc A. Meyers Pdf

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.