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Applied Mechanics pp 9–19Cite as

Some problems of designing new models of continuum media

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Abstract

The theoretical understanding of various physical phenomena presupposes the introduction of mathematical concepts and characteristic features for which methods of numerical calculations are laid down. Therefore idealized models and processes are necessary which help to formulate various kinds of relationships describing with desired degree of accuracy the properties and processes corresponding to real phenomena.

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References

  1. Bernstein, B., and J. L. Eeicksen: Work Function in Hypo-elasticity. Arch. Rational Mech. Anal. 1 (1958), No. 5, pp. 396–409.

    MathSciNet  MATH  Google Scholar 

  2. Bilby, B. A., R. Bullough and E. Smith: Continuous Distributions of Dislocations: A New Application of the Methods of Non-Riemannian Geometry. Proc. Roy. Soc, London A 231 (1955) 263–273.

    Article  MathSciNet  Google Scholar 

  3. Boa-Teh Chu: Thermodynamic of electrically conducting fluids. Phys. Fluids 2 (1959) No. 5, pp. 473–484.

    Article  MathSciNet  MATH  Google Scholar 

  4. Budiansky, B., and T. T. Wu: Theoretical prediction of plastic strains of polycrystals. Proceedings of the Fourth U.S. National Congress of Applied Mechanics, New York, pp. 1175-1185.

    Google Scholar 

  5. Власов, К. Б., и Б. X. Ишмухаметов: Уравнения движения и состояния магнетоупругих сред. ЖЭТФ 46 (1964) вып 1, ctp. 201.

    Google Scholar 

  6. Casal, P.: Capilarité interne en mécanique des milieux continue. Comptes Rendus, 29 avril 1963, pp. 3820-3822.

    Google Scholar 

  7. Jaumann, G.: Grundlagen der Bewegungslehre, Leipzig 1905, Sitzungsberichte Akad. Wiss., Wien 110 (1911) 120.

    Google Scholar 

  8. Kondo, K.: Memoirs of the unifying study of the basic problems in engineering science by means of geometry, vol. I, II, III, Tokyo: Gakujutsu Bunken Fukyu-Kai 1955-1958-1962.

    Google Scholar 

  9. Kröner, E.: Kontinuumstheorie der Verset-zungen und Eigenspannungen, Berlin 1958.

    Google Scholar 

  10. Лохин, B. B., и Л. И. Седов: Нелинейные тензорные функции от нескольких тензорных аргументов. Прикл. мат. мех. 27 (1963) вып. 3, ctp. 393-417.

    Google Scholar 

  11. Lokhin, V. V., and L. I. Sedov: Nonlinear tensor functions of several tensor arguments [Transl. of Prikl. Mat. Mekh. 27 (1963) No. 3, pp. 393–417], New York: Pergamon Press.

    Google Scholar 

  12. Mindlin, R. D.: Micro-Structure in Linear Elasticity. Arch. Rational Mech. Anal. 16 (1964) 51–78.

    Article  MathSciNet  MATH  Google Scholar 

  13. Noll, W.: On the continuity of the solid and fluids states. J. Rational Mech. Anal. 4 (1955) 3–81.

    MathSciNet  MATH  Google Scholar 

  14. Седов, Л. И.: Введение в механику сплошной среды, Москва: физматгиз 1962. Sedov, L I.: Introduction to the Mechanics a Continuous Medium, Addison-Wesley.

    Google Scholar 

  15. Седов, Л. И., и. Э. Эглит: Построение неголономных моделей сплошных сред с учетом конечности деформаций и некоторых физико-химических эффектов. ДАН CCCP 142 (1962) № 1, ctp. 54-57.

    Google Scholar 

  16. Smith, G. F., and R. S. Rivlin: Integrity Bases for Vectors — The Crystal Classes. Arch. Rational Mech. Anal. 15 (1964), No. 3, pp. 169–221.

    Article  MathSciNet  Google Scholar 

  17. Spencer, A. J. M., and R. S. Rivlin: Isotropic Integrity Bases for Vectors and Second-Order Tensors, Pt. I. Arch. Rational Mech. Anal. 9 (1962), No. 1, pp. 45–63.

    MathSciNet  MATH  Google Scholar 

  18. Truesdell, C.: Hypo-elasticity. J. Rational Mech. Anal. 4 (1955) 83–133.

    MathSciNet  MATH  Google Scholar 

  19. Prager, W.: Einführung in die Kontinuums-mechanik, Basel und Stuttgart: Birkhäuser 1961.

    Book  Google Scholar 

  20. Эщелби, Дж.: Континуальная теория ди-елокаций. Изд-во иностр. лит-ры, Москва 1963 (Переводы статей).

    Google Scholar 

  21. Когарко, Б. C.: Об одной модели кавити-рующей жидкости. Докл. AH CCCP 137 (1961) № 6, ctp. 1331-1333.

    Google Scholar 

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Author information

Authors and Affiliations

  1. USSR Academy of Sciences, Moscow, Russia

    L. I. Sedov

Authors
  1. L. I. Sedov
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Editor information

Editors and Affiliations

  1. Freiburg I. Br., Deutschland

    Henry Görtler

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© 1966 Springer-Verlag Berlin Heidelberg

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Sedov, L.I. (1966). Some problems of designing new models of continuum media. In: Görtler, H. (eds) Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-29364-5_3

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  • DOI: https://doi.org/10.1007/978-3-662-29364-5_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-27863-5

  • Online ISBN: 978-3-662-29364-5

  • eBook Packages: Springer Book Archive

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