Continuum Mechanics

Author: A. J. M. Spencer

Publisher: Courier Corporation

ISBN: 0486139476

Category: Science

Page: 192

View: 3537

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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.

Continuum Mechanics

Concise Theory and Problems

Author: P. Chadwick

Publisher: Courier Corporation

ISBN: 048613914X

Category: Science

Page: 200

View: 6945

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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

An Introduction to the Theory of Elasticity

Author: R. J. Atkin,N. Fox

Publisher: Courier Corporation

ISBN: 0486150992

Category: Science

Page: 272

View: 3632

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Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.

Mathematics Applied to Continuum Mechanics

Author: Lee A. Segel

Publisher: SIAM

ISBN: 0898716209

Category: Science

Page: 590

View: 5724

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This classic work gives an excellent overview of the subject, with an emphasis on clarity, explanation, and motivation. Extensive exercises and a valuable section containing hints and answers make this an excellent text for both classroom use and independent study.

A First Course in Continuum Mechanics

Author: Oscar Gonzalez,Andrew M. Stuart

Publisher: Cambridge University Press

ISBN: 0521886805

Category: Science

Page: 394

View: 4560

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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 and Thermodynamics

From Fundamental Concepts to Governing Equations

Author: Ellad B. Tadmor,Ronald E. Miller,Ryan S. Elliott

Publisher: Cambridge University Press

ISBN: 1107008263

Category: Science

Page: 350

View: 2405

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Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

Matrix-Tensor Methods in Continuum Mechanics

(Revised Second Printing)

Author: S F Borg

Publisher: World Scientific Publishing Company

ISBN: 9813103671

Category: Technology & Engineering

Page: 356

View: 9653

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The purposes of the text are: To introduce the engineer to the very important discipline in applied mathematics-tensor methods as well as to show the fundamental unity of the different fields in continuum mechanics-with the unifying material formed by the matrix-tensor theory and to present to the engineer modern engineering problems. Request Inspection Copy

Nonlinear Solid Mechanics

A Continuum Approach for Engineering

Author: Gerhard A. Holzapfel

Publisher: Wiley

ISBN: 9780471823193

Category: Technology & Engineering

Page: 470

View: 3451

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Nonlinear Solid Mechanics a Continuum Approach for Engineering Gerhard A. Holzapfel Graz University of Technology, Austria With a modern, comprehensive approach directed towards computational mechanics, this book covers a unique combination of subjects at present unavailable in any other text. It includes vital information on 'variational principles' constituting the cornerstone of the finite element method. In fact this is the only method by which Nonlinear Solid Mechanics is utilized in engineering practice. The book opens with a fundamental chapter on vectors and tensors. The following chapters are based on nonlinear continuum mechanics - an inevitable prerequisite for computational mechanicians. In addition, continuum field theory (applied to a representative sample of hyperelastic materials currently used in nonlinear computations such as incompressible and compressible materials) is presented, as are transversely isotropic materials, composite materials, viscoelastic materials and hyperelastic materials with isotropic damage. Another central chapter is devoted to the thermodynamics of materials, covering both finite thermoelasticity and finite thermoviscoelasticity. Also included are: * an up-to-date list of almost 300 references and a comprehensive index * useful examples and exercises for the student * selected topics of statistical and continuum thermodynamics. Furthermore, the principle of virtual work (in both the material and spatial descriptions) is compared with two and three-field variational principles particularly designed to capture kinematic constraints such as incompressibility. All of the features combined result in an essential text for final year undergraduates, postgraduates and researchers in mechanical, civil and aerospace engineering and applied maths and physics.

Introduction to Continuum Mechanics for Engineers

Author: Ray M. Bowen

Publisher: N.A

ISBN: 9780486474601

Category: Science

Page: 300

View: 8597

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This self-contained graduate-level text introduces classical continuum models within a modern framework. Its numerous exercises illustrate the governing principles, linearizations, and other approximations that constitute classical continuum models. Starting with an overview of one-dimensional continuum mechanics, the text advances to examinations of the kinematics of motion, the governing equations of balance, and the entropy inequality for a continuum. The main portion of the book involves models of material behavior and presents complete formulations of various general continuum models. The final chapter contains an introductory discussion of materials with internal state variables. Two substantial appendixes cover all of the mathematical background necessary to understand the text as well as results of representation theorems. Suitable for independent study, this volume features 280 exercises and 170 references.

An Introduction to Continuum Mechanics

Author: J. N. Reddy,Junuthula Narasimha Reddy

Publisher: Cambridge University Press

ISBN: 1107025435

Category: Mathematics

Page: 470

View: 6599

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

Mechanics

Author: J. P. Den Hartog

Publisher: Courier Corporation

ISBN: 0486158691

Category: Science

Page: 480

View: 9255

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This classic introductory text features hundreds of applications and design problems that illuminate fundamentals of trusses, loaded beams and cables, and related areas. Includes 334 answered problems.

Physics of Continuous Matter

Exotic and Everyday Phenomena in the Macroscopic World

Author: B. Lautrup

Publisher: CRC Press

ISBN: 9780750307529

Category: Science

Page: 624

View: 5403

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Offering a modern approach to this most classical of subjects, Physics of Continuous Matter is first and foremost an introduction to the basic concepts and phenomenology of continuous systems, and the derivations of the equations of continuum mechanics from Newtonian mechanics. Although many examples, particularly in the earlier chapters, are taken from geophysics and astrophysics, the author places the emphasis frimly on generic methods and applications. Each chapter begins with a ‘soft’ introduction, placing the discussion within an everyday context, and the level of difficulty then rises steadily, a pattern which is reflected throughout the text as a whole. The necessary mathematical tools are developed in parallel with the physics on a ‘need-to-know’ basis, an approach that avoids lengthy mathematical preliminaries.

Schaum's Outline of Continuum Mechanics

Author: George Mase

Publisher: McGraw Hill Professional

ISBN: 9780070406636

Category: Science

Page: 221

View: 8860

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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!

An Introduction to Continuum Mechanics

Author: Morton E. Gurtin

Publisher: Academic Press

ISBN: 9780080918495

Category: Science

Page: 265

View: 502

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This book presents an introduction to the classical theories of continuum mechanics; in particular, to the theories of ideal, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. These theories are important, not only because they are applicable to a majority of the problems in continuum mechanics arising in practice, but because they form a solid base upon which one can readily construct more complex theories of material behavior. Further, although attention is limited to the classical theories, the treatment is modern with a major emphasis on foundations and structure

Fundamentals of Continuum Mechanics

Author: John W. Rudnicki

Publisher: John Wiley & Sons

ISBN: 1118927672

Category: Science

Page: 224

View: 4273

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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

Author: Fridtjov Irgens

Publisher: Springer Science & Business Media

ISBN: 9783540742982

Category: Technology & Engineering

Page: 661

View: 7040

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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.

Theoretical Physics

Author: Georg Joos,Ira M. Freeman

Publisher: Courier Corporation

ISBN: 0486318532

Category: Science

Page: 928

View: 2051

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Classic treatise covers mathematical topics needed by theoretical and experimental physicists (vector analysis, calculus of variations, etc.), followed by coverage of mechanics, electromagnetic theory, thermodynamics, quantum mechanics, and nuclear physics.

Linear Operators for Quantum Mechanics

Author: Thomas F. Jordan

Publisher: Courier Corporation

ISBN: 0486140547

Category: Science

Page: 160

View: 5306

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Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.