Overview
- Includes thorough analysis of the expansion of the principles of continuum mechanics
- Treats historical perspectives based on the analysis of original authors and celebrated treatises
- Complements two previous volumes in the SMIA series (nos. 196 and 214) in the same spirit
- Includes supplementary material: sn.pub/extras
Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 223)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
“The book, from a distinctly different viewpoint than usual, offers a clear and lucid account of the developments of continuum mechanics … . The book is highly recommendable, preferably in orderly reading of all the three volumes, to interested readers among mechanical engineers, applied mathematicians and physicists.” (M. Cengiz Dökmeci, zbMATH 1341.74004, 2016)
Authors and Affiliations
Bibliographic Information
Book Title: Continuum Mechanics through the Ages - From the Renaissance to the Twentieth Century
Book Subtitle: From Hydraulics to Plasticity
Authors: Gérard A. Maugin
Series Title: Solid Mechanics and Its Applications
DOI: https://doi.org/10.1007/978-3-319-26593-3
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-26591-9Published: 28 November 2015
Softcover ISBN: 978-3-319-37422-2Published: 23 August 2016
eBook ISBN: 978-3-319-26593-3Published: 19 November 2015
Series ISSN: 0925-0042
Series E-ISSN: 2214-7764
Edition Number: 1
Number of Pages: XII, 306
Number of Illustrations: 33 b/w illustrations, 52 illustrations in colour
Topics: Solid Mechanics, Mathematical Modeling and Industrial Mathematics, Classical and Continuum Physics, Materials Science, general, History of Science