Continuum Mechanics Through The Twentieth Century

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Continuum Mechanics Through the Twentieth Century

Author : Gerard A Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 9400763530
Total Pages : 321 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Continuum Mechanics Through the Twentieth Century by : Gerard A Maugin

Download or read book Continuum Mechanics Through the Twentieth Century written by Gerard A Maugin and published by Springer Science & Business Media. This book was released on 2013-04-08 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Tensor Analysis and Continuum Mechanics

Author : Wilhelm Flügge
Publisher : Springer Science & Business Media
ISBN 13 : 3642883826
Total Pages : 215 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Tensor Analysis and Continuum Mechanics by : Wilhelm Flügge

Download or read book Tensor Analysis and Continuum Mechanics written by Wilhelm Flügge and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat ics to formulate the basic laws and to apply them to a host of problems that call for the quantitative prediction of the consequences of some action. On the other side, the needs of mechanics have stimulated the development of mathematical concepts. Differential calculus grew out of the needs of Newtonian dynamics; vector algebra was developed as a means . to describe force systems; vector analysis, to study velocity fields and force fields; and the calcul~s of variations has evolved from the energy principles of mechan ics. In recent times the theory of tensors has attracted the attention of the mechanics people. Its very name indicates its origin in the theory of elasticity. For a long time little use has been made of it in this area, but in the last decade its usefulness in the mechanics of continuous media has been widely recognized. While the undergraduate textbook literature in this country was becoming "vectorized" (lagging almost half a century behind the development in Europe), books dealing with various aspects of continuum mechanics took to tensors like fish to water. Since many authors were not sure whether their readers were sufficiently familiar with tensors~ they either added' a chapter on tensors or wrote a separate book on the subject.

Continuum Mechanics

Author : C. S. Jog
Publisher : Cambridge University Press
ISBN 13 : 1107091357
Total Pages : 877 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Continuum Mechanics by : C. S. Jog

Download or read book Continuum Mechanics written by C. S. Jog and published by Cambridge University Press. This book was released on 2015-06-25 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: Moving on to derivation of the governing equations, this book presents applications in the areas of linear and nonlinear elasticity.

Continuum Mechanics through the Ages - From the Renaissance to the Twentieth Century

Author : Gérard A. Maugin
Publisher : Springer
ISBN 13 : 3319265938
Total Pages : 312 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Continuum Mechanics through the Ages - From the Renaissance to the Twentieth Century by : Gérard A. Maugin

Download or read book Continuum Mechanics through the Ages - From the Renaissance to the Twentieth Century written by Gérard A. Maugin and published by Springer. This book was released on 2015-11-19 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mixing scientific, historic and socio-economic vision, this unique book complements two previously published volumes on the history of continuum mechanics from this distinguished author. In this volume, Gérard A. Maugin looks at the period from the renaissance to the twentieth century and he includes an appraisal of the ever enduring competition between molecular and continuum modelling views. Chapters trace early works in hydraulics and fluid mechanics not covered in the other volumes and the author investigates experimental approaches, essentially before the introduction of a true concept of stress tensor. The treatment of such topics as the viscoelasticity of solids and plasticity, fracture theory, and the role of geometry as a cornerstone of the field, are all explored. Readers will find a kind of socio-historical appraisal of the seminal contributions by our direct masters in the second half of the twentieth century. The analysis of the teaching and research texts by Duhem, Poincaré and Hilbert on continuum mechanics is key: these provide the most valuable documentary basis on which a revival of continuum mechanics and its formalization were offered in the late twentieth century. Altogether, the three volumes offer a generous conspectus of the developments of continuum mechanics between the sixteenth century and the dawn of the twenty-first century. Mechanical engineers, applied mathematicians and physicists alike will all be interested in this work which appeals to all curious scientists for whom continuum mechanics as a vividly evolving science still has its own mysteries.

The Rational Spirit in Modern Continuum Mechanics

Author : Chi-Sing Man
Publisher : Springer Science & Business Media
ISBN 13 : 1402023081
Total Pages : 828 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Rational Spirit in Modern Continuum Mechanics by : Chi-Sing Man

Download or read book The Rational Spirit in Modern Continuum Mechanics written by Chi-Sing Man and published by Springer Science & Business Media. This book was released on 2006-01-19 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through his voluminous and in?uential writings, editorial activities, organi- tional leadership, intellectual acumen, and strong sense of history, Clifford - brose Truesdell III (1919–2000) was the main architect for the renaissance of - tional continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. The ?rst ?ve essays by B. D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will ?nd personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy. The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as “conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny.

Continuum Mechanics Through the Eighteenth and Nineteenth Centuries

Author : Gérard A. Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 3319053744
Total Pages : 275 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Continuum Mechanics Through the Eighteenth and Nineteenth Centuries by : Gérard A. Maugin

Download or read book Continuum Mechanics Through the Eighteenth and Nineteenth Centuries written by Gérard A. Maugin and published by Springer Science & Business Media. This book was released on 2014-04-04 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conceived as a series of more or less autonomous essays, the present book critically exposes the initial developments of continuum thermo-mechanics in a post Newtonian period extending from the creative works of the Bernoullis to the First World war, i.e., roughly during first the “Age of reason” and next the “Birth of the modern world”. The emphasis is rightly placed on the original contributions from the “Continental” scientists (the Bernoulli family, Euler, d’Alembert, Lagrange, Cauchy, Piola, Duhamel, Neumann, Clebsch, Kirchhoff, Helmholtz, Saint-Venant, Boussinesq, the Cosserat brothers, Caratheodory) in competition with their British peers (Green, Kelvin, Stokes, Maxwell, Rayleigh, Love,..). It underlines the main breakthroughs as well as the secondary ones. It highlights the role of scientists who left essential prints in this history of scientific ideas. The book shows how the formidable developments that blossomed in the twentieth century (and perused in a previous book of the author in the same Springer Series: “Continuum Mechanics through the Twentieth Century”, Springer 2013) found rich compost in the constructive foundational achievements of the eighteenth and nineteenth centuries. The pre-WWI situation is well summarized by a thorough analysis of treatises (Appell, Hellinger) published at that time. English translations by the author of most critical texts in French or German are given to the benefit of the readers.

Mathematics Applied to Continuum Mechanics

Author : Lee A. Segel
Publisher : SIAM
ISBN 13 : 0898716209
Total Pages : 598 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematics Applied to Continuum Mechanics by : Lee A. Segel

Download or read book Mathematics Applied to Continuum Mechanics written by Lee A. Segel and published by SIAM. This book was released on 2007-07-12 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Tensors

Author : Anadi Jiban Das
Publisher : Springer Science & Business Media
ISBN 13 : 0387694692
Total Pages : 300 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Tensors by : Anadi Jiban Das

Download or read book Tensors written by Anadi Jiban Das and published by Springer Science & Business Media. This book was released on 2007-10-05 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra and introduces differential manifold. Coverage also details tensor analysis, differential forms, connection forms, and curvature tensor. In addition, the book investigates Riemannian and pseudo-Riemannian manifolds in great detail. Throughout, examples and problems are furnished from the theory of relativity and continuum mechanics.

Foundations and Applications of Mechanics: Fluid mechanics

Author : C. S. Jog
Publisher : CRC Press
ISBN 13 : 9780849324130
Total Pages : 454 pages
Book Rating : 4.3/5 (241 download)

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Book Synopsis Foundations and Applications of Mechanics: Fluid mechanics by : C. S. Jog

Download or read book Foundations and Applications of Mechanics: Fluid mechanics written by C. S. Jog and published by CRC Press. This book was released on 2002 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations and Applications of Mechanics: Volume II, Fluid Mechanics shows how suitable approximations such as ideal fluid flow model, boundary layer methods, and the acoustic approximation, can help solve problems of practical importance. The author proceeds from the general to the particular, making it clear at each stage what assumptions have been made to obtain a particular approximation. In his discussion of compressible fluids, Jog steers away from using gas tables and emphasizes obtaining solutions by numerical techniques - an approach more amenable to computer solutions. He discusses the control volume and the differential equation forms of governing equations in detail and uses examples to demonstrate the advantages and shortcomings of each approach.

Experimental Mechanics of Solids

Author : Cesar A. Sciammarella
Publisher : John Wiley & Sons
ISBN 13 : 1119970091
Total Pages : 769 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Experimental Mechanics of Solids by : Cesar A. Sciammarella

Download or read book Experimental Mechanics of Solids written by Cesar A. Sciammarella and published by John Wiley & Sons. This book was released on 2012-03-26 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experimental solid mechanics is the study of materials to determine their physical properties. This study might include performing a stress analysis or measuring the extent of displacement, shape, strain and stress which a material suffers under controlled conditions. In the last few years there have been remarkable developments in experimental techniques that measure shape, displacement and strains and these sorts of experiments are increasingly conducted using computational techniques. Experimental Mechanics of Solids is a comprehensive introduction to the topics, technologies and methods of experimental mechanics of solids. It begins by establishing the fundamentals of continuum mechanics, explaining key areas such as the equations used, stresses and strains, and two and three dimensional problems. Having laid down the foundations of the topic, the book then moves on to look at specific techniques and technologies with emphasis on the most recent developments such as optics and image processing. Most of the current computational methods, as well as practical ones, are included to ensure that the book provides information essential to the reader in practical or research applications. Key features: Presents widely used and accepted methodologies that are based on research and development work of the lead author Systematically works through the topics and theories of experimental mechanics including detailed treatments of the Moire, Speckle and holographic optical methods Includes illustrations and diagrams to illuminate the topic clearly for the reader Provides a comprehensive introduction to the topic, and also acts as a quick reference guide This comprehensive book forms an invaluable resource for graduate students and is also a point of reference for researchers and practitioners in structural and materials engineering.

Continuum Mechanics and Plasticity

Author : Han-Chin Wu
Publisher : CRC Press
ISBN 13 : 0203491998
Total Pages : 704 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Continuum Mechanics and Plasticity by : Han-Chin Wu

Download or read book Continuum Mechanics and Plasticity written by Han-Chin Wu and published by CRC Press. This book was released on 2004-12-20 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tremendous advances in computer technologies and methods have precipitated a great demand for refinements in the constitutive models of plasticity. Such refinements include the development of a model that would account for material anisotropy and produces results that compare well with experimental data. Key to developing such models-and to meeting

Landmark Experiments in Twentieth-Century Physics

Author : George L. Trigg
Publisher : Courier Corporation
ISBN 13 : 0486151204
Total Pages : 338 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Landmark Experiments in Twentieth-Century Physics by : George L. Trigg

Download or read book Landmark Experiments in Twentieth-Century Physics written by George L. Trigg and published by Courier Corporation. This book was released on 2013-03-21 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear, detailed explorations feature extensive quotations from original research papers in their coverage of groundbreaking research. Topics include x-rays, superconductivity, neutrinos, lasers, and many other subjects. 120 illustrations. 1975 edition.

Applications Of Tensor Analysis In Continuum Mechanics

Author : Victor A Eremeyev
Publisher : World Scientific
ISBN 13 : 9813238984
Total Pages : 426 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Applications Of Tensor Analysis In Continuum Mechanics by : Victor A Eremeyev

Download or read book Applications Of Tensor Analysis In Continuum Mechanics written by Victor A Eremeyev and published by World Scientific. This book was released on 2018-07-10 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'A strong point of this book is its coverage of tensor theory, which is herein deemed both more readable and more substantial than many other historic continuum mechanics books. The book is self-contained. It serves admirably as a reference resource on fundamental principles and equations of tensor mathematics applied to continuum mechanics. Exercises and problem sets are useful for teaching … The book is highly recommended as both a graduate textbook and a reference work for students and more senior researchers involved in theoretical and mathematical modelling of continuum mechanics of materials. Key concepts are well described in the text and are supplemented by informative exercises and problem sets with solutions, and comprehensive Appendices provide important equations for ease of reference.'Contemporary PhysicsA tensor field is a tensor-valued function of position in space. The use of tensor fields allows us to present physical laws in a clear, compact form. A byproduct is a set of simple and clear rules for the representation of vector differential operators such as gradient, divergence, and Laplacian in curvilinear coordinate systems. The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. These rules are relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when one considers the tensor fields that describe continuum bodies. In this case general curvilinear coordinates become necessary. The principal basis of a curvilinear system is constructed as a set of vectors tangent to the coordinate lines. Another basis, called the dual basis, is also constructed in a special manner. The existence of these two bases is responsible for the mysterious covariant and contravariant terminology encountered in tensor discussions.This book provides a clear, concise, and self-contained treatment of tensors and tensor fields. It covers the foundations of linear elasticity, shell theory, and generalized continuum media, offers hints, answers, and full solutions for many of the problems and exercises, and Includes a handbook-style summary of important tensor formulas.The book can be useful for beginners who are interested in the basics of tensor calculus. It also can be used by experienced readers who seek a comprehensive review on applications of the tensor calculus in mechanics.

The Geometrical Language of Continuum Mechanics

Author : Marcelo Epstein
Publisher : Cambridge University Press
ISBN 13 : 113949046X
Total Pages : 325 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis The Geometrical Language of Continuum Mechanics by : Marcelo Epstein

Download or read book The Geometrical Language of Continuum Mechanics written by Marcelo Epstein and published by Cambridge University Press. This book was released on 2010-07-26 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Epstein presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Divided into three parts of roughly equal length, the book opens with a motivational chapter to impress upon the reader that differential geometry is indeed the natural language of continuum mechanics or, better still, that the latter is a prime example of the application and materialisation of the former. In the second part, the fundamental notions of differential geometry are presented with rigor using a writing style that is as informal as possible. Differentiable manifolds, tangent bundles, exterior derivatives, Lie derivatives, and Lie groups are illustrated in terms of their mechanical interpretations. The third part includes the theory of fiber bundles, G-structures, and groupoids, which are applicable to bodies with internal structure and to the description of material inhomogeneity. The abstract notions of differential geometry are thus illuminated by practical and intuitively meaningful engineering applications.

The Mechanics and Thermodynamics of Continua

Author : Morton E. Gurtin
Publisher : Cambridge University Press
ISBN 13 : 1139482157
Total Pages : 721 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis The Mechanics and Thermodynamics of Continua by : Morton E. Gurtin

Download or read book The Mechanics and Thermodynamics of Continua written by Morton E. Gurtin and published by Cambridge University Press. This book was released on 2010-04-19 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Generations

Author : Helge Kragh
Publisher : Princeton University Press
ISBN 13 : 9780691095523
Total Pages : 514 pages
Book Rating : 4.0/5 (955 download)

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Book Synopsis Quantum Generations by : Helge Kragh

Download or read book Quantum Generations written by Helge Kragh and published by Princeton University Press. This book was released on 2002-03-24 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the end of the nineteenth century, some physicists believed that the basic principles underlying their subject were already known, and that physics in the future would only consist of filling in the details. They could hardly have been more wrong. The past century has seen the rise of quantum mechanics, relativity, cosmology, particle physics, and solid-state physics, among other fields. These subjects have fundamentally changed our understanding of space, time, and matter. They have also transformed daily life, inspiring a technological revolution that has included the development of radio, television, lasers, nuclear power, and computers. In Quantum Generations, Helge Kragh, one of the world's leading historians of physics, presents a sweeping account of these extraordinary achievements of the past one hundred years. The first comprehensive one-volume history of twentieth-century physics, the book takes us from the discovery of X rays in the mid-1890s to superstring theory in the 1990s. Unlike most previous histories of physics, written either from a scientific perspective or from a social and institutional perspective, Quantum Generations combines both approaches. Kragh writes about pure science with the expertise of a trained physicist, while keeping the content accessible to nonspecialists and paying careful attention to practical uses of science, ranging from compact disks to bombs. As a historian, Kragh skillfully outlines the social and economic contexts that have shaped the field in the twentieth century. He writes, for example, about the impact of the two world wars, the fate of physics under Hitler, Mussolini, and Stalin, the role of military research, the emerging leadership of the United States, and the backlash against science that began in the 1960s. He also shows how the revolutionary discoveries of scientists ranging from Einstein, Planck, and Bohr to Stephen Hawking have been built on the great traditions of earlier centuries. Combining a mastery of detail with a sure sense of the broad contours of historical change, Kragh has written a fitting tribute to the scientists who have played such a decisive role in the making of the modern world.

Twentieth Century Physics

Author : L Brown
Publisher : CRC Press
ISBN 13 : 9781420050776
Total Pages : 832 pages
Book Rating : 4.0/5 (57 download)

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Book Synopsis Twentieth Century Physics by : L Brown

Download or read book Twentieth Century Physics written by L Brown and published by CRC Press. This book was released on 1995-01-01 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twentieth Century Physics, Second Edition is a major historical study of the scientific and cultural development of physics in the twentieth century. This unique three-volume work offers a scholarly but highly readable overview of the development of physics, addressing both the cultural and the scientific aspects of the discipline. The three volumes deal with the major themes of physics in a quasi-chronological manner. The first volume covers the early part of the century while the second and third volumes discuss more recent issues. In each case, the development of the theme is traced from its inception to the present day. The list of contributors includes Nobel laureates, fellows of the Royal Society, and other distinguished international physicists. Where appropriate, specialists in the history of physics have written their own commentaries, providing a valuable counterpoint to the physicists' perspectives.