Physical interpretation of the Cosserat mechanics for a collection of atoms

• Autorzy: Sikoń M.

Identyfikatory

DOI

10.1515/bpasts-2016-0038

• Języki publikacji: EN

Abstrakty

EN

In this work, the Cosserat medium is analyzes as a set of atoms. These atoms are under the action of a mechanical load. The statistical analysis is preceded by a description of a single atom using classical mechanics and quantum mechanics. The behavior of the atoms in the field generated by mechanical change of the interatomic distance is shown as a phenomenon which can explain the Cosserat mechanics in a continuum.

Słowa kluczowe

EN

Cosserat theory polar atom; mechanical quantum number; statistical mechanics; condensed matter

PL

atom; mechanika kwantowa; mechanika statystyczna; materia skondensowana; teoria ośrodka Cosseratów

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2016
• Tom: Vol. 64, nr 2
• Strony: 333--338
• Opis fizyczny: Bibliogr. 16 poz., rys.

Twórcy

autor

Sikoń M.

• Faculty of Mechanics, Institute of Machine Design, Cracow University of Technology, 37 Jana Pawła II St., 31-866 Cracow

Bibliografia

• [1] E. Cosserat and F.Cosserat, Théorie des corps déformables, A. Hermann, Paris 1909.
• [2] W. Voigt, Theoretishe Studien über die Elastizitätsverhältnisse der Kristalle, Abh. Ges.Wiss. Göttning, 43, 1887.
• [3] W. Nowacki., Theory of the nonsymmetrical elasticity, Polish Academy of Sciences, PWN, Warsaw 1981.
• [4] R. J. Boscovich, Philosophie naturalis, Venezia 1763.
• [5] C. L. Navier, Mémoire sur les lois de l’éqilibre mouvement des corps solides élastiques, Mém. Inst. Natl., 1824.
• [6] A. C. Eringen, Theory of micropolar elasticity, Princeton University, Princeton, New Jersey, 1967.
• [7] M. P. Allen, Introduction to molecular dynamics simulation, John von Neumann Inst. For Comput., vol. 23, 2004.
• [8] N. Bohr, Studies on the Electron Theory of Metals, University of Copenhagen, Copenhagen 1911.
• [9] J. H. Bartlett, Nuclear structure, Nature, 130, 165, 1932.
• [10] E. Schrödinger, Collected Papers on Wave Mechanics, Blackie, Glasgow, 1928.
• [11] C. Kittel, Introduction to Solid State Physics, 8th ed. Jon Willey & Sons, Inc., New York 2005.
• [12] L. D. Landau J. M. Lifszyc, Statistical physics, PWN, 2011.
• [13] P. W. Anderson, Basic Notions of Condensed Matter Physics. Reading: Addison-Wesley, 1997, ISBN 0‒201‒32830‒5.
• [14] R. P. Feynman, R. B. Leighton and M. Sands, Feynman Lecture on Physics, Volume III, Reading, MA: Addison-Wesley, 1963.
• [15] O. H. Nielsen, R. M. Martin, Quantum-mechanical theory of stress and force, Physical Review B, Volume 32, Nr 6, 1985.
• [16] M. Sikoń, Analysis of the Cosserat medium on the basis of the atomic structure of the matter, Monograph, Publ. Cracow University of Technology, Cracow 2012.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.