Continuum Mechanics

Continuum Mechanics PDF
Author: A. J. M. Spencer
Publisher: Courier Corporation
ISBN: 0486139476
Size: 66.19 MB
Format: PDF
Category : Science
Languages : en
Pages : 192
View: 5893

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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.

Introduction To Continuum Mechanics

Introduction to Continuum Mechanics PDF
Author: W Michael Lai
Publisher: Elsevier
ISBN: 0080509134
Size: 33.78 MB
Format: PDF, Kindle
Category : Technology & Engineering
Languages : en
Pages : 570
View: 4816

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Introduction to Continuum Mechanics is a recently updated and revised text which is perfect for either introductory courses in an undergraduate engineering curriculum or for a beginning graduate course. Continuum Mechanics studies the response of materials to different loading conditions. The concept of tensors is introduced through the idea of linear transformation in a self-contained chapter, and the interrelation of direct notation, indicial notation, and matrix operations is clearly presented. A wide range of idealized materials are considered through simple static and dynamic problems, and the book contains an abundance of illustrative examples of problems, many with solutions. Serves as either a introductory undergraduate course or a beginning graduate course textbook. Includes many problems with illustrations and answers.

Continuum Mechanics

Continuum Mechanics PDF
Author: D. S. Chandrasekharaiah
Publisher: Elsevier
ISBN: 1483294684
Size: 63.72 MB
Format: PDF, ePub
Category : Science
Languages : en
Pages : 595
View: 1054

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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

Schaum S Outline Of Continuum Mechanics

Schaum s Outline of Continuum Mechanics PDF
Author: George Mase
Publisher: McGraw-Hill
ISBN:
Size: 23.64 MB
Format: PDF, ePub, Mobi
Category : Juvenile Nonfiction
Languages : en
Pages : 221
View: 396

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For comprehensive—and comprehensible—coverage of both theory and real-world applications, you can’t find a better study guide than Schaum’s Outline of Continuum Mechanics. It gives you everything you need to get ready for tests and earn better grades! You get plenty of worked problems—solved for you step by step—along with hundreds of practice problems. From the mathematical foundations to fluid mechanics and viscoelasticity, this guide covers all the fundamentals—plus it shows you how theory is applied. This is the study guide to choose if you want to ace continuum mechanics!

Fundamentals Of Continuum Mechanics

Fundamentals of Continuum Mechanics PDF
Author: John W. Rudnicki
Publisher: John Wiley & Sons
ISBN: 1118479912
Size: 74.80 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages : 218
View: 2002

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A concise introductory course text on continuum mechanics Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours. It aims to provide the foundations for further study, not just of these subjects, but also the formulations for much more complex material behaviour and their implementation computationally. This book is divided into 5 parts, covering mathematical preliminaries, stress, motion and deformation, balance of mass, momentum and energy, and ideal constitutive relations and is a suitable textbook for introductory graduate courses for students in mechanical and civil engineering, as well as those studying material science, geology and geophysics and biomechanics. A concise introductory course text on continuum mechanics Covers the fundamentals of continuum mechanics Uses modern tensor notation Contains problems and accompanied by a companion website hosting solutions Suitable as a textbook for introductory graduate courses for students in mechanical and civil engineering

Continuum Mechanics And Theory Of Materials

Continuum Mechanics and Theory of Materials PDF
Author: Peter Haupt
Publisher: Springer Science & Business Media
ISBN: 3662047756
Size: 46.39 MB
Format: PDF
Category : Technology & Engineering
Languages : en
Pages : 643
View: 3160

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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.

Continuum Mechanics

Continuum Mechanics PDF
Author: Fridtjov Irgens
Publisher: Springer Science & Business Media
ISBN: 9783540742982
Size: 74.10 MB
Format: PDF, Kindle
Category : Technology & Engineering
Languages : en
Pages : 661
View: 4904

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This book presents an introduction into the entire science of Continuum Mechanics in three parts. The presentation is modern and comprehensive. Its introduction into tensors is very gentle. The book contains many examples and exercises, and is intended for scientists, practitioners and students of mechanics.

A First Course In Continuum Mechanics

A First Course in Continuum Mechanics PDF
Author: Yuan-cheng Fung
Publisher: Pearson College Division
ISBN:
Size: 21.89 MB
Format: PDF, ePub, Mobi
Category : Technology & Engineering
Languages : en
Pages : 311
View: 1533

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Revision of a classic text by a distinguished author. Emphasis is on problem formulation and derivation of governing equations. New edition features increased emphasis on applications. New chapter covers long-term changes in materials under stress.

Geometrical Foundations Of Continuum Mechanics

Geometrical Foundations of Continuum Mechanics PDF
Author: Paul Steinmann
Publisher: Springer
ISBN: 3662464608
Size: 59.94 MB
Format: PDF, Mobi
Category : Science
Languages : en
Pages : 517
View: 3530

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This book illustrates the deep roots of the geometrically nonlinear kinematics of generalized continuum mechanics in differential geometry. Besides applications to first- order elasticity and elasto-plasticity an appreciation thereof is particularly illuminating for generalized models of continuum mechanics such as second-order (gradient-type) elasticity and elasto-plasticity. After a motivation that arises from considering geometrically linear first- and second- order crystal plasticity in Part I several concepts from differential geometry, relevant for what follows, such as connection, parallel transport, torsion, curvature, and metric for holonomic and anholonomic coordinate transformations are reiterated in Part II. Then, in Part III, the kinematics of geometrically nonlinear continuum mechanics are considered. There various concepts of differential geometry, in particular aspects related to compatibility, are generically applied to the kinematics of first- and second- order geometrically nonlinear continuum mechanics. Together with the discussion on the integrability conditions for the distortions and double-distortions, the concepts of dislocation, disclination and point-defect density tensors are introduced. For concreteness, after touching on nonlinear fir st- and second-order elasticity, a detailed discussion of the kinematics of (multiplicative) first- and second-order elasto-plasticity is given. The discussion naturally culminates in a comprehensive set of different types of dislocation, disclination and point-defect density tensors. It is argued, that these can potentially be used to model densities of geometrically necessary defects and the accompanying hardening in crystalline materials. Eventually Part IV summarizes the above findings on integrability whereby distinction is made between the straightforward conditions for the distortion and the double-distortion being integrable and the more involved conditions for the strain (metric) and the double-strain (connection) being integrable. The book addresses readers with an interest in continuum modelling of solids from engineering and the sciences alike, whereby a sound knowledge of tensor calculus and continuum mechanics is required as a prerequisite.

Continuum Mechanics

Continuum Mechanics PDF
Author: I-Shih Liu
Publisher: Springer
ISBN: 9783642077029
Size: 15.80 MB
Format: PDF, Kindle
Category : Science
Languages : en
Pages : 298
View: 1758

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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.

Continuum Mechanics For Engineers

Continuum Mechanics for Engineers PDF
Author: G. Thomas Mase
Publisher: CRC Press
ISBN: 1482238691
Size: 45.18 MB
Format: PDF, Kindle
Category : Science
Languages : en
Pages : 434
View: 1385

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A bestselling textbook in its first three editions, Continuum Mechanics for Engineers, Fourth Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. It provides information that is useful in emerging engineering areas, such as micro-mechanics and biomechanics. Through a mastery of this volume’s contents and additional rigorous finite element training, readers will develop the mechanics foundation necessary to skillfully use modern, advanced design tools. Features: Provides a basic, understandable approach to the concepts, mathematics, and engineering applications of continuum mechanics Updated throughout, and adds a new chapter on plasticity Features an expanded coverage of fluids Includes numerous all new end-of-chapter problems With an abundance of worked examples and chapter problems, it carefully explains necessary mathematics and presents numerous illustrations, giving students and practicing professionals an excellent self-study guide to enhance their skills.

Continuum Mechanics Of Electromagnetic Solids

Continuum Mechanics of Electromagnetic Solids PDF
Author: G.A. Maugin
Publisher: Elsevier
ISBN: 1483290107
Size: 26.40 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages : 621
View: 3943

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This volume is a rigorous cross-disciplinary theoretical treatment of electromechanical and magnetomechanical interactions in elastic solids. Using the modern style of continuum thermomechanics (but without excessive formalism) it starts from basic principles of mechanics and electromagnetism, and goes on to unify these two fields in a common framework. It treats linear and nonlinear static and dynamic problems in a variety of elastic solids such as piezoelectrics, electricity conductors, ferromagnets, ferroelectrics, ionic crystals and ceramics. Chapters 1-3 are introductory, describing the essential properties of electromagnetic solids, the essentials of the thermomechanics of continua, and the general equations that govern the electrodynamics of nonlinear continua in the nonrelativistic framework (e.g. Maxwell's equations, the fundamental balance laws of continuum mechanics, basic thermodynamical inequalities for electromagnetic continua, jump relations for studying the propagation of shock waves, nonlinear constitutive equations for large classes of materials). The remainder of the text presents in detail special cases, applications, solved problems, and more complex schemes of electromagnetic matter. Chapters 4 and 5 examine material schemes whose description relies on the above-mentioned equations. Chapters 6 and 7 are more advanced, reporting on recent progress in the field. Suitable for graduate teaching, the volume will also be useful to research workers and engineers in the field of electromagnetomechanical interactions, and to those interested in the basic principles, mathematical developments and applications of electroelasticity and magnetoelasticity in a variety of solid materials, such as crystals, polycrystals, compounds and alloys.

An Introduction To Continuum Mechanics

An Introduction to Continuum Mechanics PDF
Author: J. N. Reddy
Publisher: Cambridge University Press
ISBN: 1107025435
Size: 37.63 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 470
View: 3016

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This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.

A First Course In Continuum Mechanics

A First Course in Continuum Mechanics PDF
Author: Oscar Gonzalez
Publisher: Cambridge University Press
ISBN: 0521886805
Size: 30.49 MB
Format: PDF
Category : Science
Languages : en
Pages : 394
View: 2561

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A concise account of classic theories of fluids and solids, for graduate and advanced undergraduate courses in continuum mechanics.

Continuum Mechanics

Continuum Mechanics PDF
Author: P. Chadwick
Publisher: Courier Corporation
ISBN: 048613914X
Size: 37.38 MB
Format: PDF, ePub
Category : Science
Languages : en
Pages : 200
View: 7508

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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