Introduction a la mecanique des milieux continus PDF Download

Author: Paul Germain
Publisher:
ISBN:
Category : Continuum mechanics
Languages : fr
Pages : 0

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Author: Gerard A Maugin
Publisher: Springer Science & Business Media
ISBN: 9400763530
Category : Science
Languages : en
Pages : 321

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Book Description
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: Paul Germain
Publisher: Elsevier Masson
ISBN: 9782225829642
Category :
Languages : fr
Pages : 467

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Book Description
Cet Ouvrage traite des questions fondamentales propres à un premier enseignement de mécanique des milieux continus. Dans la première partie, les auteurs exposent les concepts généraux communs à tous les milieux continus. Après avoir rappelé les principes fondamentaux de la mécanique classique dans une formulation adéquate, ils définissent le mouvement et la déformation d'un milieu continu, puis présentent les lois de conservation de la physique classique sous une forme unifiée. La deuxième partie traite de la mécanique des solides en mettant l'accent sur l'élasticité classique dont l'exposé débouche sur une résolution analytique détaillée des grands problèmes qui constituent la base de la résistance des matériaux. Une première idée du calcul approché par éléments finis est ensuite donnée à partir d'une formulation modernisée des théorèmes de l'énergie. dans cette nouvelle édition, la deuxième partie a été enrichie par une théorie rénovée des milieux curvilignes qui constitue une introduction au calcul des structures. La troisième partie aborde la mécanique des fluides en insistant sur les fluides incompressibles. Les auteurs y développent particulièrement les écoulements irrotationnels d'un fluide parfait, sur lesquels on ne revient généralement pas dans les enseignements ultérieurs, et mettent en évidence les effets de la viscosité, dont l'importance dans les écoulements réels n'est plus à démontrer, et notamment l'existence d'une couche limite. Résultat de la longue expérience commune des auteurs en matière d'enseignement, cette introduction équilibrée à la mécanique des milieux continus est complétée par un chapitre de rappels mathématiques portant sur des notions supposées avoir fait l'objet d'un apprentissage antérieur, mais dont on sait bien qu'elles ne sont pas toujours présentées sous la forme la plus aisément applicable, ainsi que par un chapitre sur la pratique du calcul en coordonnées curvilignes orthogonales.

Author: John Botsis
Publisher: EPFL Press
ISBN: 2880746434
Category : Continuum mechanics
Languages : fr
Pages : 290

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Book Description

Author:
Publisher: John Wiley & Sons
ISBN: 1118613686
Category : Technology & Engineering
Languages : en
Pages : 295

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Book Description
Three aspects are developed in this book: modeling, a description of the phenomena and computation methods. A particular effort has been made to provide a clear understanding of the limits associated with each modeling approach. Examples of applications are used throughout the book to provide a better understanding of the material presented.

Author: Ren‚e Gatignol
Publisher: World Scientific
ISBN: 9812810625
Category : Science
Languages : en
Pages : 273

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Book Description
This book constitutes a comprehensive survey of the balance equations for mass, momentum and energy for the interfaces in pure fluids and mixtures. Constitutive laws are presented for many situations in engineering science, and examples are provided, including surface viscosity effects, variable surface tension and vapor recoil. In addition, some extensions of existing theory are given: stretch effect in premixed flames, relaxation zones downstream two-phase shock waves, and effective surface tension for steep gradient zones. Contents: Thermodynamics and Kinematics of Interfaces; Interface Balance Laws; Constitutive Relations Deduced from Linear Irrevesible Thermodynamics for the Two-Dimensional Interfaces; Classical Three-Dimensional Constitutive Relations Deduced from Linear Irreversible Thermodynamics and Their Consequences for Interfaces; Second Gradient Theory Applied to Interfacial Medium; Typical Problems Involving Surface Tensions and Other Surface Properties. Readership: Graduates, physicists, applied mathematicians and engineers seeking classical knowledge in continuum mechanics and thermodynamics, especially in the thermodynamics of irreversible processes.

Author: Jean Lemaitre
Publisher: Cambridge University Press
ISBN: 9780521477581
Category : Science
Languages : en
Pages : 588

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Book Description
Translation of hugely successful book aimed at advanced undergraduates, graduate students and researchers.

Author: Jean Salencon
Publisher: Springer Science & Business Media
ISBN: 3642565425
Category : Science
Languages : en
Pages : 794

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Book Description
Outstanding approach to continuum mechanics. Its high mathematical level of teaching together with abstracts, summaries, boxes of essential formulae and numerous exercises with solutions, makes this handbook one of most complete books in the area. Students, lecturers, and practitioners will find this handbook a rich source for their studies or daily work.

Author: R. Valid
Publisher: Elsevier
ISBN: 0080984614
Category : Technology & Engineering
Languages : en
Pages : 372

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Book Description
Mechanics of Continuous Media and Analysis of Structures is a six-chapter book that begins by elucidating the mechanics of solid continuous media. The text then describes the finite elements method, which undoubtedly dominates the methods used for structural analysis. Subsequent chapters explain the variational principles in linear elasticity, vibration of linear structure, non-linear deformations, and the shell theory. This book will be valuable to all those who need certain theoretical developments in mechanics, including mechanical engineers, economists, and mathematicians.

Author: Issam Doghri
Publisher: Springer Science & Business Media
ISBN: 3662041685
Category : Science
Languages : en
Pages : 587

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Book Description
Three subjects of major interest in one textbook: linear elasticity, mechanics of structures in linear isotropic elasticity, and nonlinear mechanics including computational algorithms. After the simplest possible, intuitive approach there follows the mathematical formulation and analysis, with computational methods occupying a good portion of the book. There are several worked-out problems in each chapter and additional exercises at the end of the book, plus mathematical expressions are bery often given in more than one notation. The book is intended primarily for students and practising engineers in mechanical and civil engineering, although students and experts from applied mathematics, materials science and other related fields will also find it useful.