Continuum Physics

Author : Peter Hertel
Publisher : Springer Science & Business Media
Page : 293 pages
File Size : 44,7 Mb
Release : 2012-08-15
Category : Science
ISBN : 9783642295003

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Continuum Physics by Peter Hertel Pdf

This small book on the properties of continuously distributed matter covers a huge field. It sets out the governing principles of continuum physics and illustrates them by carefully chosen examples. These examples comprise structural mechanics and elasticity, fluid media, electricity and optics, thermoelectricity, fluctuation phenomena and more, from Archimedes' principle via Brownian motion to white dwarfs. Metamaterials, pattern formation by reaction-diffusion and surface plasmon polaritons are dealt with as well as classical topics such as Stokes' formula, beam bending and buckling, crystal optics and electro- and magnetooptic effects, dielectric waveguides, Ohm's law, surface acoustic waves, to mention just some. The set of balance equations for content, flow and production of particles, mass, charge, momentum, energy and entropy is augmented by material, or constitutive equations. They describe entire classes of materials, such as viscid fluids and gases, elastic media, dielectrics or electrical conductors. We discuss the response of matter to rapidly oscillating external parameters, in particular the electric field strength of light, in the framework of statistical thermodynamics. An appendix on fields and a glossary round off this bird's-eye view on continuum physics. /p Students of physics, engineering and related fields will benefit from the clear presentation of worked examples and the variety of solution methods, including numerical techniques. Lecturers or advanced students may profit from the unified view on a substantial part of physics. It may help them to embed their research field conceptually within a wider context.

Author : Morton E. Gurtin
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 54,5 Mb
Release : 2008-01-20
Category : Science
ISBN : 9780387226569

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Configurational Forces as Basic Concepts of Continuum Physics by Morton E. Gurtin Pdf

Included is a presentation of configurational forces within a classical context and a discussion of their use in areas as diverse as phase transitions and fracture.

Author : P. Chadwick
Publisher : Courier Corporation
Page : 191 pages
File Size : 40,6 Mb
Release : 2012-08-08
Category : Science
ISBN : 9780486139142

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Continuum Mechanics by P. Chadwick Pdf

DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div

Author : Peter Haupt
Publisher : Springer Science & Business Media
Page : 666 pages
File Size : 50,6 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9783662047750

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Continuum Mechanics and Theory of Materials by Peter Haupt Pdf

The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.

Author : Oscar Gonzalez,Andrew M. Stuart
Publisher : Cambridge University Press
Page : 5 pages
File Size : 43,6 Mb
Release : 2008-01-17
Category : Science
ISBN : 9780521886802

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A First Course in Continuum Mechanics by Oscar Gonzalez,Andrew M. Stuart Pdf

The modeling and simulation of fluids, solids and other materials with significant coupling and thermal effects is becoming an increasingly important area of study in applied mathematics and engineering. Necessary for such studies is a fundamental understanding of the basic principles of continuum mechanics and thermodynamics. This book is a clear introduction to these principles. It is designed for a one- or two-quarter course for advanced undergraduate and beginning graduate students in the mathematical and engineering sciences, and is based on over nine years of teaching experience. It is also sufficiently self-contained for use outside a classroom environment. Prerequisites include a basic knowledge of linear algebra, multivariable calculus, differential equations and physics. The authors begin by explaining tensor algebra and calculus in three-dimensional Euclidean space. Using both index and coordinate-free notation, they introduce the basic axioms of continuum mechanics pertaining to mass, force, motion, temperature, energy and entropy, and the concepts of frame-indifference and material constraints. They devote four chapters to different theories of fluids and solids, and, unusually at this level, they consider both isothermal and thermal theories in detail. The book contains a wealth of exercises that support the theory and illustrate various applications. Full solutions to odd-numbered exercises are given at the end of each chapter and a complete solutions manual for all exercises is available to instructors upon request. Each chapter also contains a bibliography with references covering different presentations, further applications and numerical aspects of the theory. Book jacket.

Author : S.K. Godunov,Evgenii Romenskii
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 46,5 Mb
Release : 2003-05-31
Category : Computers
ISBN : 0306477351

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Elements of Continuum Mechanics and Conservation Laws by S.K. Godunov,Evgenii Romenskii Pdf

Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for well-posedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials.

Author : Antonio Romano,Addolorata Marasco
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 50,6 Mb
Release : 2010-07-23
Category : Science
ISBN : 9780817648701

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Continuum Mechanics by Antonio Romano,Addolorata Marasco Pdf

This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields.

Author : A. J. M. Spencer
Publisher : Courier Corporation
Page : 194 pages
File Size : 51,8 Mb
Release : 2012-06-08
Category : Science
ISBN : 9780486139470

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Continuum Mechanics by A. J. M. Spencer Pdf

Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.

Author : D. S. Chandrasekharaiah,Lokenath Debnath
Publisher : Elsevier
Page : 595 pages
File Size : 48,6 Mb
Release : 2014-05-19
Category : Science
ISBN : 9781483294681

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Continuum Mechanics by D. S. Chandrasekharaiah,Lokenath Debnath Pdf

A detailed and self-contained text written for beginners, Continuum Mechanics offers concise coverage of the basic concepts, general principles, and applications of continuum mechanics. Without sacrificing rigor, the clear and simple mathematical derivations are made accessible to a large number of students with little or no previous background in solid or fluid mechanics. With the inclusion of more than 250 fully worked-out examples and 500 worked exercises, this book is certain to become a standard introductory text for students as well as an indispensable reference for professionals. Key Features * Provides a clear and self-contained treatment of vectors, matrices, and tensors specifically tailored to the needs of continuum mechanics * Develops the concepts and principles common to all areas in solid and fluid mechanics with a common notation and terminology * Covers the fundamentals of elasticity theory and fluid mechanics

Author : Yuan-cheng Fung
Publisher : Prentice Hall
Page : 356 pages
File Size : 51,9 Mb
Release : 1977
Category : Continuum mechanics
ISBN : UCSD:31822016445496

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A First Course in Continuum Mechanics by Yuan-cheng Fung Pdf

Author : Stephen C. Cowin
Publisher : Springer Science & Business Media
Page : 435 pages
File Size : 51,8 Mb
Release : 2013-01-09
Category : Technology & Engineering
ISBN : 9781461450252

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Continuum Mechanics of Anisotropic Materials by Stephen C. Cowin Pdf

Continuum Mechanics of Anisotropic Materials(CMAM) presents an entirely new and unique development of material anisotropy in the context of an appropriate selection and organization of continuum mechanics topics. These features will distinguish this continuum mechanics book from other books on this subject. Textbooks on continuum mechanics are widely employed in engineering education, however, none of them deal specifically with anisotropy in materials. For the audience of Biomedical, Chemical and Civil Engineering students, these materials will be dealt with more frequently and greater accuracy in their analysis will be desired. Continuum Mechanics of Anisotropic Materials' author has been a leader in the field of developing new approaches for the understanding of anisotropic materials.

Author : I-Shih Liu
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 51,6 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662050569

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Continuum Mechanics by I-Shih Liu Pdf

This concise textbook develops step by step the fundamental principles of continuum mechanics. Emphasis is on mathematical clarity, and an extended appendix provides the required background knowledge in linear algebra and tensor calculus. After introducing the basic notions about general kinematics, balance equations, material objectivity and constitutive functions, the book turns to the presentation of rational thermodynamics by stressing the role of Lagrange multipliers in deriving constitutive funcitions from the underlying entropy principle. A brief lecture on extended thermodynamics closes the book. Many examples and exercises round off the material presendted in the chapters. The book addresses primarily advanced undergraduate students in theoretical physics, applied mathematics and materials sciences.

Author : Gerard A Maugin
Publisher : Springer Science & Business Media
Page : 321 pages
File Size : 41,6 Mb
Release : 2013-04-08
Category : Science
ISBN : 9789400763531

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Continuum Mechanics Through the Twentieth Century by Gerard A Maugin Pdf

This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.

Author : A. Cemal Eringen
Publisher : Elsevier
Page : 289 pages
File Size : 51,6 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323140607

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Continuum Physics V4 by A. Cemal Eringen Pdf

Continuum Physics, Volume IV: Polar and Nonlocal Field Theories discusses the exposition of field theories for bodies which possess inner structure that can interact with mechanical and electromagnetic fields. This book provides precise presentations of exact continuum theories on materially non-uniform or non-simple bodies that can respond to short- and long-range inter-particle loads and fields. This volume consists of three parts. Part I is devoted to the study of continuum field theories for bodies having inner structure. All materials, to some extent, are composed of particles that behave like small rigid bodies or deformable particles, unlike the geometrical points of the classical continuum theory. The developments of nonlocal theories of nonpolar and polar continua are covered in Parts II and III. This publication is valuable to students and researchers interested in polar and nonlocal field theories.

Author : Martin Kružík,Tomáš Roubíček
Publisher : Springer
Page : 617 pages
File Size : 52,6 Mb
Release : 2019-03-02
Category : Science
ISBN : 9783030020651

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Mathematical Methods in Continuum Mechanics of Solids by Martin Kružík,Tomáš Roubíček Pdf

This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.