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

From Hydraulics to Plasticity

  • Gérard A. Maugin

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 223)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Gérard A. Maugin
    Pages 57-79
  3. Gérard A. Maugin
    Pages 81-105
  4. Gérard A. Maugin
    Pages 107-127
  5. Gérard A. Maugin
    Pages 129-155
  6. Gérard A. Maugin
    Pages 157-176
  7. Gérard A. Maugin
    Pages 177-214
  8. Gérard A. Maugin
    Pages 243-261
  9. Gérard A. Maugin
    Pages 263-297
  10. Gérard A. Maugin
    Pages 299-302
  11. Back Matter
    Pages 303-306

About this book

Introduction

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.

Keywords

Continuum mechanics Mechanics of fluids Mechanics of solids Principles of mechanics hydraulics hyperbolicity viscoelasticity

Authors and affiliations

  • Gérard A. Maugin
    • 1
  1. 1.Institut Jean Le Rond d'AlembergUniversité Pierre et Marie CurieParis Cedex 05France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-26593-3
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-26591-9
  • Online ISBN 978-3-319-26593-3
  • Series Print ISSN 0925-0042
  • Series Online ISSN 2214-7764
  • About this book