Continuum Mechanics Through the Eighteenth and Nineteenth Centuries Historical Perspectives from John Bernoulli (1727) to Ernst Hellinger (1914) /

• Main Author: Maugin, Gérard A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Solid Mechanics and Its Applications, 214
• Subjects: Engineering.; History.; Mathematical analysis.; Analysis (Mathematics).; Mechanics.; Continuum mechanics.; Continuum Mechanics and Mechanics of Materials.; Analysis.; History of Science.

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” an...

Table of Contents:

• 1 General Introduction: About the Contents and Form of this Book
• 2 A Glimpse at the Eighteenth Century: From John Bernoulli to Lagrange
• 3 What Happened on September 30, 1822, and What Were its Implications for the Future of Continuum Mechanics?
• 4 Piola and Kirchhoff: On Changes of Configurations
• 5 Duhamel’s Pioneering Work in Thermo-elasticity and Its Legacy
• 6 From Cauchy to Boussinesq via Barré de Saint-Venant
• 7 Helmholtz Interpreted and Applied by Duhem
• 8 About the Cosserats’ Book of 1909
• 9 Caratheodory: Thermodynamics and Topology
• 10 On Duhem’s Energetics or General Thermodynamics
• 11 A Course of Continuum Mechanics at the Dawn of the Twentieth Century (Volume III of Appell’s Treatise on Rational Mechanics)
• 12 A Successful Attempt at a Synthetic View of Continuum Mechanics on the Eve of WWI: Hellinger’s Article in the German Encyclopaedia of Mathematics
• 13 Epilogue.- Retrospective: A Gallery of Portraits of the Main Actors.    .