COSSERAT CONTINUUM: ONE HUNDRED YEARS LATER
Mechanical Engineering Research Institute of RAS,
85, Belinsky str., 603024 Nizhny Novgorod, Russian Federation
Nizhny Novgorod Lobachevsky State University
23 Gagarin Ave, 603950 Nizhny Novgorod, Russian Federation
Russian Federal Nuclear Center - All-Russian Research Institute of Experimental Physics,
37, Mira ave, 607188 Sarov, Nizhny Novgorod Region, Russian Federation,
Sarov Physical-Technical Institute, National Research Nuclear University "MIFI"
6, Dukhov str., 607186 Sarov, Nizhny Novgorod Region, Russian Federation
Fundamental work E. and F. Cosserat "Theorie des corps deformables" only now, 100 years after it was written, translated into Russian and is scheduled for publication in 2013. This issue of RENSIT publishes the bibliographic rarity - a big labor of brothers Cosserat "Une note sur la théorie de l'action Euclidienne" – the only one to date the work of these authors, published entirely in 1911 in Russian as an appendix to «Traité de mécanique rationnelle» Paul Emile Appel, in Russian translation - three-volume "Rukovodstvo teoreticheskoy (ratsionalnoy) mekhaniki”, and no longer reprinted. About this Annex, in the Preface to his two-volume Traité P.E. Appel writes: "The purpose of Note - combine different mechanical theories into one general idea from which they are derived deductively, an idea that could serve as a tool for new discoveries. It is known that in modern mechanics the energy dominates ... and the action. E. and F. Cosserat dedicated their works to concept of action, whose value is derived of the Hamilton and Helmholtz theories; they managed to achieve in these theories of new and important success, extract from them all the most significant and establish a direct definition of the action, the form of which may be transferred in all areas of natural philosophy". Announced as well the works of authors of our country, who develop this area of physics.
Keywords: action, invariant, group, Euclidean displacements.
Bibliography – 2 references
Full-text electronic version of this article - web site http://elibrary.ru
- Cosserat E., Cosserat F. Theorie des corps deformables. Paris, A. Hermann Publ., 1909, 226 p.
- Appel P. Rukovodstvo teoreticheskoy (ratsionalnoy) mekhaniki [Theoretical Manual (rational) Mechanics Transl. from the last (third) of the French edition (1909) of А. Bezrukov. Moscow, Typogr-lithographic partnership I.N.Kushnerev & Co., 1911, vol. 3, 457 p.