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An incorrect inequality in micropolar elasticity theory

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Zusammenfassung

Es wird festgestellt, dass in verschiedenen Veröffentlichungen über mikropolare Elastizität eine inkorrekte Ungleichung verwendet worden ist und dass dies zu unrichtigen Ergebnissen geführt hat.

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References

  1. A. C. Eringen,Linear Theory of Micropolar Elasticity, J. Math. Mech.15, 909 (1966).

    Google Scholar 

  2. E. V. Kuvshinskii andE. L. Aero,Continuum Theory of Asymmetric Elasticity, Soviet Phys. solid St.5, 1892 (1964). (Translation of Fizika tverdogo tela5, 2591 (1963).)

    Google Scholar 

  3. E. L. Aero andE. V. Kuvshinskii,Continuum Theory of Asymmetric Elasticity, Equilibrium of an Isotropic Body. Soviet Phys. solid St.6, 2141 (1965). (Translation of: Fizika tverdogo tela6, 2689 (1964).)

    Google Scholar 

  4. R. D. Mindlin,Stress Functions for a Cosserat Continuum, Int. J. Sol. Struct.1, 265 (1965).

    Google Scholar 

  5. H. Neuber,On the General Solution of Linear-elastic Problems in Isotropic and Anisotropic Cosserat Continua, Proc. 11th Int. Cong. Appl. Mech. (Springer-Verlag, Berlin 1965), p. 153.

    Google Scholar 

  6. H. Schaefer,Versuch einer Elastizitätstheorie des zweidimensional ebenen Cosserat-Kontinuums, Misz. Ang. Mechanik (Akademie-Verlag, Berlin 1962), p. 277.

    Google Scholar 

  7. E. L. Aero, andE. V. Kuvshinskii,Fundamental Equations of the Theory of Elastic Media with Rotationally Interacting Particles, Soviet Phys. solid St.2, 1272 (1961). (Translation of: Fizika tverdogo tela2, 1399 (1960).)

    Google Scholar 

  8. R. D. Mindlin,Influence of Couple Stresses on Stress Concentrations, Exp. Mech.3, 1 (1963).

    Google Scholar 

  9. R. D. Mindlin andH. F. Tiersten,Effects of Couple Stresses in Linear Elasticity, Arch. rat. Mech. Anal.11, 415 (1962).

    Google Scholar 

  10. P. N. Kaloni andT. Ariman,Stress Concentrations in Micropolar Elasticity, Z. angew. Math. Phys.18, 136 (1967).

    Google Scholar 

  11. R. S. Chauhan,Couple Stresses in a Curved Bar, Int. J. Engrg. Sci.7, 895 (1969).

    Google Scholar 

  12. S. C. Cowin,Stress Functions for Cosserat Elasticity, Int. J. Sol. Struct. 6, 389 (1970).

    Google Scholar 

  13. S. C. Cowin,Singular Stress Concentrations in Plane Cosserat Elasticity, Z. angew. Math. Phys.20, 979 (1969).

    Google Scholar 

  14. T. Ariman,On the Stresses Around a Circular Hole in Micropolar Elasticity, Acta. Mech.IV, 216 (1967).

    Google Scholar 

  15. A. C. Eringen,Theory of Micropolar Elasticity, in FRACTURE (H. Liebowitz, ed.), Volume II, Academic Press, 1968.

  16. H. Neuber,Über Probleme der Spannungskonzentration im Cosserat-Körper, Acta. Mech.2, 48 (1966).

    Google Scholar 

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Authors and Affiliations

  1. Dept. of Mechanical Eng., Tulane University, New Orleans, Louisiana, USA

    Stephen C. Cowin

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  1. Stephen C. Cowin
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Cowin, S.C. An incorrect inequality in micropolar elasticity theory. Journal of Applied Mathematics and Physics (ZAMP) 21, 494–497 (1970). https://doi.org/10.1007/BF01627956

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  • DOI: https://doi.org/10.1007/BF01627956

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