Statical Problems of Micropolar Elasticity

  • Witold Nowacki
Part of the International Centre for Mechanical Sciences book series (CISM, volume 25)


Let us apply to a body the loadings, increasing them slowly from zero to their final values. The heat content changes together with the deformation. Consequently, the field of temperature in the body also changes. We assume that in the course of deformation there exists a permanent heat exchange with the environment of the body, and, therefore, the process can be regarded to be isothermal.


Statical Problem Equilibrium Equation Body Force Stress Function Plane State 


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  1. +).
    E. Reissner, On variational theorem in elasticity, J. Math. and Physics, 29 (1950)Google Scholar
  2. +).
    H. Schaefer, Versuch einer Elastizitftstheorie der zweidimen sionalen eben Cosserat-Kontinuums, Misz.Angew.Math.Festschrift Tollmien, Akademie V1g., Berlin 1962.Google Scholar
  3. ++).
    R.D. Mindlin, H.F. Tiersten, Effects of couple-stresses in linear elasticity, Arch.Rat.Mech.Anal., 11 (1962).Google Scholar
  4. +).
    G.V. Kolosov: Comp. Rend. Acad. Sci. Paris, 146 (1908), 522, 62 (1914), 384.Google Scholar
  5. ++).
    N.I. Muskhelishvili: Math. Ann. 107 (1932), 282, and monograph “Some Basic Problems of the Mathematical Theory of Elas ticity” (in Russian, Moscow 1934), an English translation of 1949 edition of the book, P.Noordhoff, N.V.,of Groningen, 1953.Google Scholar
  6. +++).
    G.N. Savin: “The distribution of stresses around holes” (in Russian) Moscow, 1968.Google Scholar
  7. +).
    Love, A.E.H., A treatise on the mathematical theory of elastic ity. Cambridge, 1927, 4th edition, p.274.Google Scholar

Copyright information

© Springer-Verlag Wien 1970

Authors and Affiliations

  • Witold Nowacki
    • 1
  1. 1.University of WarsawPoland

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