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Singular stress concentrations in plane Cosserat elasticity

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Zusammenfassung

Auf Grund der Cossertschen Elastizitätstheorie werden exakte Lösungen gegeben für den singularen Teil des Spannungsfeldes in der Halbebene unter konzentrierten Normal-und Tangentiallasten und unter diskontinuierlichen normalen und tangentialen Oberflächenbelastungen.

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References

  1. R. Muki andE. Sternberg,The Influence of Couple-stresses on Singular Stress Concentrations in Elastic Solids, Z. angew. Math. Phys.16, 611 (1965).

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  2. D. B. Bogy andE. Sternberg,The Effect of Couple-stress on Singularities Due to Discontinuous Loadings, Int. J. Solids Struct.3, 757 (1967).

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  3. S. C. Cowin,Stress Functions for Cosserat Elasticity, Int. J. Solids Struct., in press.

  4. H. Schaefer,Versuch einer Elastizitätstheorie des zweidimensional ebenen Cosserat-Kontinuums, Misz. angew. Mech. (Akademie Verlag, Berlin 1962), S. 277.

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  5. D. B. Bogy andE. Sternberg,The Effect of Couple Stresses on the Corner Singularity Due to an Asymmetric Shear Loading, Int. J. Solids Struct.4, 159 (1968).

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Authors and Affiliations

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

    Stephen C. Cowin

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  1. Stephen C. Cowin
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Cowin, S.C. Singular stress concentrations in plane Cosserat elasticity. Journal of Applied Mathematics and Physics (ZAMP) 20, 979–982 (1969). https://doi.org/10.1007/BF01592307

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  • DOI: https://doi.org/10.1007/BF01592307

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