By Konstantin Naumenko, Marcus Aßmus
This quantity provides a suite of contributions on complex methods of continuum mechanics, that have been written to have fun the sixtieth birthday of Prof. Holm Altenbach. The contributions are on issues regarding the theoretical foundations for the research of rods, shells and three-d solids, formula of constitutive versions for complex fabrics, in addition to improvement of latest methods to the modeling of wear and tear and fractures.
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Additional info for Advanced Methods of Continuum Mechanics for Materials and Structures
Fr © Springer Science+Business Media Singapore 2016 K. Naumenko and M. A. Maugin famous but rarely read opus (cf. Maugin and Metrikine 2010). In the period 1896– 1914, the Cosserats in fact published together no less than 21 works in the field of theoretical mechanics. Out of these, 14 were short notes—of three or four pages—to the Paris Academy of Sciences. Apart from their book of 1909, the only long original memoir they published was a long paper in a true serial scientific journal in Toulouse in 1896 (Cosserat and Cosserat 1896), while their other publications in the field are scattered in odd places, often as supplements to lecture notes or books by other authors [Koenigs, Chwolson (in French translation), Appell, Voss (also in French translation)].
E. secondary high schools educating students from age 12 to 18 with a final diploma called the “Baccalauréat” with a strong emphasis on classics. Then they could attempt a university or continue to prepare for the difficult examination entrance to Polytechnique and ENS. Very good students were admitted to both schools and selected the one that pleased them most. Under the influence of Louis Pasteur the ENS also became a “fish tank” for creative scientists who would soon join and then surpassed the polytechnicians.
These are the equations expanded by Clebsch and Barré de Saint-Venant (1883) in the French translation of the book of Clebsch (1883). One has to wait for the next chapter to witness an introduction of elasticity constitutive equations on thermodynamic bases. 3 Equations of Equilibrium In their formulation of the equations of equilibrium for elastic bodies (Chapter III), the Cosserat brothers are strongly influenced by the thermodynamic works of Kelvin (Thomson 1855, 1856, 1857); also (Thomson and Tait 1867), and the recent considerations brought to the field by Pierre Duhem (1887, 1894).
Advanced Methods of Continuum Mechanics for Materials and Structures by Konstantin Naumenko, Marcus Aßmus