Titlebook: Continuum Mechanics Through the Eighteenth and Nineteenth Centuries; Historical Perspecti Gérard‘A. Maugin Book 2014 Springer International

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Abgrenzung von Rechtsform und Begriffen,825–1848). This emphasizes the original approach of Piola who favoured a direct projection on the material configuration (where material particles are “labelled”), this yielding the now well known Piola–Kirchhoff stresses in the so-called Piola format of continuum mechanics. Piola is a follower of L

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,Begriffserläuterungen und Klassifikationen,roduction of seminal ideas about plasticity and turbulence. Here the emphasis is placed on the works of Barré de Saint-Venant and Boussinesq who contributed mostly to elasticity, but also to the theory and flow of viscous fluids. These works are exemplary of the period, involving little or no thermo

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Teilzeitarbeit: Eine Sackgasse,luence in thermo-mechanics and electrodynamics, it is shown that this conduced Duhem and his followers to a definite style and practice of physical science marked by abstraction and mathematical rigor. This has practically become the rule while helping to classify the numerous, linear or non linear,

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Erkennung von Teilstrukturen durch NMR,e which they call “Euclidean invariance” of the Lagrangian-Hamiltonian action. This strategy places on an equal footing translations and possible rotational degrees of freedom, yielding in a natural way what is now commonly called the theory of Cosserat or oriented—or polar—continua with asymmetric

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Erkennung von Teilstrukturen durch NMR, thermodynamics with geometric and analytic arguments by the mathematician Constantin Caratheodory. This practically ignored the well known experimental factual bases (with heat engines) posed by Carnot and Kelvin, to the benefit of a powerful exploitation of Pfaffian differential forms. This is ver

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https://doi.org/10.1007/978-3-322-99609-11920. He is a prolific writer and a never tired propagandist of the global science of energetics. Here we examine his main contribution, its novelty and its inherent limitations in the light of two remarkable synthetic and/or critical works, his treatise on energetics (Traité d’énergétique ou de the

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https://doi.org/10.1007/978-3-322-99703-6er, Berlin, pp. 602–694, 1914) in a German encyclopaedia. In this contribution Hellinger, a mathematician, succeeds in capturing the progress and subtleties of all what was achieved during the nineteenth century, accounting for most recent works and also pointing at forthcoming developments. On this

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