Introduction To Mechanics Of Continua

Author : William Prager
Publisher : Courier Corporation
Page : 246 pages
File Size : 53,8 Mb
Release : 2004-01-01
Category : Science
ISBN : 0486438090

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Introduction to Mechanics of Continua by William Prager Pdf

A classic in the field, this book meets the demands of courses that establish groundwork in hydrodynamics, gas dynamics, plasticity and elasticity, and it provides typical continua problems for nonspecialists. The author addresses the major aspects of continuum studies: geometrical foundations, state of stress, instantaneous motion, fundamental laws, perfect fluids, viscous fluids, visco-plastic and perfectly plastic materials, hypoelastic materials, finite strain, and elastic and hyperelastic materials. The text’s broad converge and numerous applications include more than 160 problems and examples, and the only prerequisites are first- and second-year college calculus. 1961 ed.

Author : W Michael Lai,Erhard Krempl,David Rubin
Publisher : Elsevier
Page : 571 pages
File Size : 47,6 Mb
Release : 2014-06-28
Category : Technology & Engineering
ISBN : 9780080509136

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Introduction to Continuum Mechanics by W Michael Lai,Erhard Krempl,David Rubin Pdf

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.

Author : Lawrence E. Malvern
Publisher : Unknown
Page : 713 pages
File Size : 43,7 Mb
Release : 1969
Category : Continuum mechanics
ISBN : OCLC:2309235

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Introduction to the Mechanics of a Continuous Medium by Lawrence E. Malvern Pdf

Author : C. Truesdell,K. R. Rajagopal
Publisher : Springer Science & Business Media
Page : 286 pages
File Size : 47,6 Mb
Release : 2010-10-05
Category : Technology & Engineering
ISBN : 9780817648466

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An Introduction to the Mechanics of Fluids by C. Truesdell,K. R. Rajagopal Pdf

A compact, moderately general book which encompasses many fluid models of current interest...The book is written very clearly and contains a large number of exercises and their solutions. The level of mathematics is that commonly taught to undergraduates in mathematics departments.. —Mathematical Reviews The book should be useful for graduates and researchers not only in applied mathematics and mechanical engineering but also in advanced materials science and technology...Each public scientific library as well as hydrodynamics hand libraries should own this timeless book...Everyone who decides to buy this book can be sure to have bought a classic of science and the heritage of an outstanding scientist. —Silikáty All applied mathematicians, mechanical engineers, aerospace engineers, and engineering mechanics graduates and researchers will find the book an essential reading resource for fluids. —Simulation News Europe

Author : Chao-cheng Wang,C. Truesdell
Publisher : Springer Science & Business Media
Page : 578 pages
File Size : 54,5 Mb
Release : 1973-12-31
Category : Science
ISBN : 9001937101

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Introduction to Rational Elasticity by Chao-cheng Wang,C. Truesdell Pdf

Author : Sudhakar Nair
Publisher : Cambridge University Press
Page : 253 pages
File Size : 40,8 Mb
Release : 2009-03-16
Category : Mathematics
ISBN : 9780521875622

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Introduction to Continuum Mechanics by Sudhakar Nair Pdf

This textbook treats solids and fluids in a balanced manner, using thermodynamic restrictions on the relation between applied forces and material responses. This unified approach can be appreciated by engineers, physicists, and applied mathematicians with some background in engineering mechanics. It has many examples and about 150 exercises for students to practice. The higher mathematics needed for a complete understanding is provided in the early chapters. This subject is essential for engineers involved in experimental or numerical modeling of material behavior.

Author : J. N. Reddy
Publisher : Cambridge University Press
Page : 479 pages
File Size : 49,7 Mb
Release : 2013-07-29
Category : Mathematics
ISBN : 9781107025431

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An Introduction to Continuum Mechanics by J. N. Reddy Pdf

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

Author : Morton E. Gurtin,Eliot Fried,Lallit Anand
Publisher : Cambridge University Press
Page : 721 pages
File Size : 42,8 Mb
Release : 2010-04-19
Category : Science
ISBN : 9781139482158

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The Mechanics and Thermodynamics of Continua by Morton E. Gurtin,Eliot Fried,Lallit Anand Pdf

The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasises the universal status of the basic balances and the entropy imbalance. These laws are viewed as fundamental building blocks on which to frame theories of material behaviour. As a valuable reference source, this book presents a detailed and complete treatment of continuum mechanics and thermodynamics for graduates and advanced undergraduates in engineering, physics and mathematics. The chapters on plasticity discuss the standard isotropic theories and, in addition, crystal plasticity and gradient plasticity.

Author : Giorgio Ferrarese,Donato Bini
Publisher : Springer
Page : 340 pages
File Size : 49,7 Mb
Release : 2007-09-30
Category : Science
ISBN : 9783540731689

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Introduction to Relativistic Continuum Mechanics by Giorgio Ferrarese,Donato Bini Pdf

This mathematically-oriented introduction takes the point of view that students should become familiar, at an early stage, with the physics of relativistic continua and thermodynamics within the framework of special relativity. Therefore, in addition to standard textbook topics such as relativistic kinematics and vacuum electrodynamics, the reader will be thoroughly introduced to relativistic continuum and fluid mechanics. There is emphasis on the 3+1 splitting technique.

Author : Karan S. Surana
Publisher : CRC Press
Page : 829 pages
File Size : 53,7 Mb
Release : 2022-01-24
Category : Science
ISBN : 9781000512342

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Classical Continuum Mechanics by Karan S. Surana Pdf

This book provides physical and mathematical foundation as well as complete derivation of the mathematical descriptions and constitutive theories for deformation of solid and fluent continua, both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contra-variant bases. Definitions of co- and contra-variant tensors and tensor calculus are introduced using curvilinear frame and then specialized for Cartesian frame. Both Galilean and non-Galilean coordinate transformations are presented and used in establishing objective tensors and objective rates. Convected time derivatives are derived using the conventional approach as well as non-Galilean transformation and their significance is illustrated in finite deformation of solid continua as well as in the case of fluent continua. Constitutive theories are derived using entropy inequality and representation theorem. Decomposition of total deformation for solid and fluent continua into volumetric and distortional deformation is essential in providing a sound, general and rigorous framework for deriving constitutive theories. Energy methods and the principle of virtual work are demonstrated to be a small isolated subset of the calculus of variations. Differential form of the mathematical models and calculus of variations preclude energy methods and the principle of virtual work. The material in this book is developed from fundamental concepts at very basic level with gradual progression to advanced topics. This book contains core scientific knowledge associated with mathematical concepts and theories for deforming continuous matter to prepare graduate students for fundamental and basic research in engineering and sciences. The book presents detailed and consistent derivations with clarity and is ideal for self-study.

Author : Alexander L. Fetter,John Dirk Walecka
Publisher : Courier Corporation
Page : 596 pages
File Size : 48,6 Mb
Release : 2003-12-16
Category : Science
ISBN : 9780486432618

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Theoretical Mechanics of Particles and Continua by Alexander L. Fetter,John Dirk Walecka Pdf

This two-part text fills what has often been a void in the first-year graduate physics curriculum. Through its examination of particles and continua, it supplies a lucid and self-contained account of classical mechanics — which in turn provides a natural framework for introducing many of the advanced mathematical concepts in physics. The text opens with Newton's laws of motion and systematically develops the dynamics of classical particles, with chapters on basic principles, rotating coordinate systems, lagrangian formalism, small oscillations, dynamics of rigid bodies, and hamiltonian formalism, including a brief discussion of the transition to quantum mechanics. This part of the book also considers examples of the limiting behavior of many particles, facilitating the eventual transition to a continuous medium. The second part deals with classical continua, including chapters on string membranes, sound waves, surface waves on nonviscous fluids, heat conduction, viscous fluids, and elastic media. Each of these self-contained chapters provides the relevant physical background and develops the appropriate mathematical techniques, and problems of varying difficulty appear throughout the text.

Author : John W. Rudnicki
Publisher : John Wiley & Sons
Page : 229 pages
File Size : 47,5 Mb
Release : 2014-09-22
Category : Science
ISBN : 9781118927670

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Fundamentals of Continuum Mechanics by John W. Rudnicki Pdf

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

Author : Dieter Strauch
Publisher : Springer Science & Business Media
Page : 414 pages
File Size : 44,6 Mb
Release : 2009-06-07
Category : Science
ISBN : 9783540736165

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Classical Mechanics by Dieter Strauch Pdf

This upper-level undergraduate and beginning graduate textbook primarily covers the theory and application of Newtonian and Lagrangian, but also of Hamiltonian mechanics. In addition, included are elements of continuum mechanics and the accompanying classical field theory, wherein four-vector notation is introduced without explicit reference to special relativity. The author's writing style attempts to ease students through the primary and secondary results, thus building a solid foundation for understanding applications. Numerous examples illustrate the material and often present alternative approaches to the final results.

Author : Gérard A. Maugin
Publisher : Springer
Page : 259 pages
File Size : 45,9 Mb
Release : 2016-09-24
Category : Science
ISBN : 9789811024344

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Non-Classical Continuum Mechanics by Gérard A. Maugin Pdf

This dictionary offers clear and reliable explanations of over 100 keywords covering the entire field of non-classical continuum mechanics and generalized mechanics, including the theory of elasticity, heat conduction, thermodynamic and electromagnetic continua, as well as applied mathematics. Every entry includes the historical background and the underlying theory, basic equations and typical applications. The reference list for each entry provides a link to the original articles and the most important in-depth theoretical works. Last but not least, ever y entry is followed by a cross-reference to other related subject entries in the dictionary.

Author : J. N. Reddy
Publisher : Cambridge University Press
Page : 11 pages
File Size : 50,6 Mb
Release : 2007-10-29
Category : Technology & Engineering
ISBN : 9781139466400

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An Introduction to Continuum Mechanics by J. N. Reddy Pdf

This textbook on continuum mechanics reflects the modern view that scientists and engineers should be trained to think and work in multidisciplinary environments. A course on continuum mechanics introduces the basic principles of mechanics and prepares students for advanced courses in traditional and emerging fields such as biomechanics and nanomechanics. This text introduces the main concepts of continuum mechanics simply with rich supporting examples but does not compromise mathematically in providing the invariant form as well as component form of the basic equations and their applications to problems in elasticity, fluid mechanics, and heat transfer. The book is ideal for advanced undergraduate and beginning graduate students. The book features: derivations of the basic equations of mechanics in invariant (vector and tensor) form and specializations of the governing equations to various coordinate systems; numerous illustrative examples; chapter-end summaries; and exercise problems to test and extend the understanding of concepts presented.