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

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Epidural-Space

不能妥协

What Happened on September 30, 1822, and What Were its Implications for the Future of Continuum Mec (but published only in 1828) without using arguments involving molecules. This is here presented in its historical context. Cauchy’s view is the currently accepted view among mechanicians and engineers although attempts (including by Navier and Cauchy himself) to start from a molecular description

疲惫的老马

Piola and Kirchhoff: On Changes of Configurations,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

赔偿

,Duhamel’s Pioneering Work in Thermo-elasticity and Its Legacy,hermo-mechanical couplings or thermo-elasticity are introduced for three-dimensional elastic bodies. This contribution offers a short discussion of the basic ideas behind Duhamel’s historical chapter, the strategy applied by Duhamel for combining ideas from Navier’s elasticity and Fourier’s theory o

割让

,From Cauchy to Boussinesq via Barré de Saint-Venant,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

割让

objection

,About the Cosserats’ Book of 1909,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

花束

Caratheodory: Thermodynamics and Topology, 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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