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Continuum Mechanics Through the Eighteenth and Nineteenth Centuries

Historical Perspectives from John Bernoulli (1727) to Ernst Hellinger (1914)

  • Gérard A. Maugin

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 214)

About this book

Introduction

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.

Keywords

Continuum Mechanics History Mechanics of Solids Principles of Mechanics Thermo-mechanics

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-05374-5
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-05373-8
  • Online ISBN 978-3-319-05374-5
  • Series Print ISSN 0925-0042
  • Series Online ISSN 2214-7764
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