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Continuum Mechanics Through the Twentieth Century

2013-04-08 Science
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Release : 2013-04-08
Genre : Science
Kind : eBook
Book Rating : 530/5 ( reviews)

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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. This book was released on 2013-04-08. 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.

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

2015-11-19 Science
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Release : 2015-11-19
Genre : Science
Kind : eBook
Book Rating : 938/5 ( reviews)

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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. This book was released on 2015-11-19. 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.

Introduction to Continuum Mechanics

2014-06-28 Technology & Engineering
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Release : 2014-06-28
Genre : Technology & Engineering
Kind : eBook
Book Rating : 134/5 ( reviews)

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Book Synopsis Introduction to Continuum Mechanics by : W Michael Lai

Download or read book Introduction to Continuum Mechanics written by W Michael Lai. This book was released on 2014-06-28. Available in PDF, EPUB and Kindle. Book excerpt: 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 Through the Eighteenth and Nineteenth Centuries

2014-04-04 Science
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Release : 2014-04-04
Genre : Science
Kind : eBook
Book Rating : 744/5 ( reviews)

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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. This book was released on 2014-04-04. 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.

Principles of Continuum Mechanics

2017-11-16 Science
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Release : 2017-11-16
Genre : Science
Kind : eBook
Book Rating : 209/5 ( reviews)

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Book Synopsis Principles of Continuum Mechanics by : J. N. Reddy

Download or read book Principles of Continuum Mechanics written by J. N. Reddy. This book was released on 2017-11-16. Available in PDF, EPUB and Kindle. Book excerpt: Continuum mechanics deals with the stress, deformation, and mechanical behaviour of matter as a continuum rather than a collection of discrete particles. The subject is interdisciplinary in nature, and has gained increased attention in recent times primarily because of a need to understand a variety of phenomena at different spatial scales. The second edition of Principles of Continuum Mechanics provides a concise yet rigorous treatment of the subject of continuum mechanics and elasticity at the senior undergraduate and first-year graduate levels. It prepares engineer-scientists for advanced courses in traditional as well as emerging fields such as biotechnology, nanotechnology, energy systems, and computational mechanics. The large number of examples and exercise problems contained in the book systematically advance the understanding of vector and tensor analysis, basic kinematics, balance laws, field equations, constitutive equations, and applications. A solutions manual is available for the book.

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