By Gérard A. Maugin
Mixing medical, ancient and socio-economic imaginative and prescient, this certain e-book enhances formerly released volumes at the historical past of continuum mechanics from this exclusive writer. during this quantity, Gérard A. Maugin seems on the interval from the renaissance to the 20th century and he contains an appraisal of the ever enduring festival among molecular and continuum modelling views.
Chapters hint early works in hydraulics and fluid mechanics no longer coated within the different volumes and the writer investigates experimental methods, primarily prior to the creation of a real suggestion of tension tensor. The remedy of such issues because the viscoelasticity of solids and plasticity, fracture conception, and the position of geometry as a cornerstone of the sphere, are all explored. Readers will discover a form of socio-historical appraisal of the seminal contributions by means of our direct masters within the moment half the 20 th century. The research of the educating and study texts by way of Duhem, Poincaré and Hilbert on continuum mechanics is essential: those give you the most precious documentary foundation on which a revival of continuum mechanics and its formalization have been provided within the past due 20th century.
Altogether, the 3 volumes provide a beneficiant conspectus of the advancements of continuum mechanics among the 16th century and the sunrise of the twenty-first century. Mechanical engineers, utilized mathematicians and physicists alike will all have an interest during this paintings which appeals to all curious scientists for whom continuum mechanics as a vividly evolving technology nonetheless has its personal mysteries.
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Additional info for Continuum Mechanics through the Ages - From the Renaissance to the Twentieth Century: From Hydraulics to Plasticity
III] Chapter 2 Hydraulics: The Importance of Observations and Experiments Abstract Before the expansion of analysis, studies of fluid mechanics were necessarily conﬁned to experiments although a complete body of technical applications of hydraulics had developed starting with the most ancient civilizations around the Mediterranean Sea and in Asia. Greeks, Egyptians and Romans, in particular, conceived all kinds of elementary machines but also well designed systems of distribution of water, whether in the ﬁelds or in the supply of cities.
He published on the laws of shocks of bodies (See his “Traité sur la percussion des corps”) as well as on the flow of fluids (see his “Traité du mouvement des eaux” 1684). As a member of a committee in charge of checking Torricelli’s law, he indeed checked this law, but missed the constriction of the emerging flow. This will be corrected by Newton in a second edition of his Principia. Mariotte also showed the importance of the deviation of the momentum in the experience of the impinging of a flow on a flat surface.
8 Other Works: Lamé, Clapeyron, etc. The corpuscular approach to elasticity was also pursued and exploited by Gabriel Lamé (1795–1870) and Benoît Clapeyron (1799–1864)—both members of the Corps of Mining engineers (formation: Polytechnique followed by School of Mines)—cf. Lamé (1852); Lamé and Clapeyron (1831). It is more surprising that as late as 1892 Henri Poincaré (1892)—also originally a member of the Corps of Mining Engineers—in his lectures on elasticity avoids Cauchy’s ﬁrst theory, and bases his presentation on the fundamentals of the corpuscular theory.