By Gérard A. Maugin
Mixing clinical, old and socio-economic imaginative and prescient, this specific publication enhances formerly released volumes at the heritage of continuum mechanics from this distinct writer. during this quantity, Gérard A. Maugin seems to be on the interval from the renaissance to the 20th century and he comprises an appraisal of the ever enduring pageant among molecular and continuum modelling views.
Chapters hint early works in hydraulics and fluid mechanics now not lined within the different volumes and the writer investigates experimental ways, primarily sooner than the creation of a real thought of tension tensor. The therapy of such themes because the viscoelasticity of solids and plasticity, fracture conception, and the function 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 way of our direct masters within the moment half the 20 th century. The research of the educating and study texts via Duhem, Poincaré and Hilbert on continuum mechanics is vital: those give you the most useful 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 technological know-how nonetheless has its personal mysteries.
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Extra info for Continuum Mechanics through the Ages - From the Renaissance to the Twentieth Century: From Hydraulics to Plasticity
Toward the end of the eighteenth century we still note the contribution of Lazare Carnot (1753–1823), successful politician, military organizer, but also mechanician of value. He exploits the principle of solidiﬁcation of Stevin and Clairaut in his consideration on hydraulics which chronologically precedes the treatise of Lagrange although published only in Carnot (1803). Carnot contributed to the proposal of the empirical Borda-Carnot equation (see below). 6 The True Experimentalists: Borda, Bossut, and Du Buat We qualify Jean-Charles de Borda (1733–1799), Abbé Charles Bossut (1730–1814) and Pierre du Buat (1734–1809) of true experimentalists as these scientists devised special purposeful experiments and studied the influence of various parameters.
Lorentz molecular dimensions, forms a single homogeneous assemblage”. In other words, in crystallized matter, the elements (particles) do form a homogeneous assemblage. Love explains in great detail the two steps of the derivation, one concerning ﬁrst the equilibrium of a particle, and the second accounting for the changes in the involved quantities when the body undergoes a small strain accompanied by a small rotation. Equilibrium equations of a particle can thus be obtained. On evaluating the coefﬁcients of these strains in the equations, he then shows that they can indeed be written as the derivatives of a potential, from which one concludes with the existence of a strain-energy function.
Pascal repeated Torricelli’s experience in 1644 in Rouen, Normandy, with a friend called Petit. Then convinced that Nature does not have horror of vacuum, he projected in 1647 an experiment that he indeed conducted on September 19, 1648 at the Puy-de-Dôme mount in central France. This experiment proved that, in Pascal’s words, “fluids weigh more given their height” since he observed a change in the level of mercury in a vertical tube depending on the altitude at which the experiment was conducted.
Continuum Mechanics through the Ages - From the Renaissance to the Twentieth Century: From Hydraulics to Plasticity by Gérard A. Maugin