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

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.

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

Inhalt
Preface.- 1 Particles/Molecules vs Continuum: the Never-Ending Debate.- 2 Hydraulics: The Importance of Observations and Experiments.- 3 On Porous Media and Mixtures.- 4 Viscosity, Fast Flows and the Science of Flight.- 5 Duhem on Hydrodynamics and Elasticity.- 6 Poincaré and Hilbert on Continuum Mechanics.- 7 Viscoelasticity of Solids (Old and New).- 8 Plasticity over 150 Years (1864-2014).- 9 Fracture: To Crack or not to Crack. That is the Question. 10 Geometry and Continuum Mechanics.- 11 The Masters of Modern Continuum Mechanics.- 12 Epilogue.- Index.