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A generalized square yield condition for shells of revolution

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Summary

A new yield condition is proposed for rotationally symmetric shells of revolution. Based on this yield condition the carrying capacity of a spherical cap under a concentrated load at the vertex is determined. It is found that the analysis based on the proposed yield condition offers considerable mathematical simplicity. It is hoped that the results obtained in this paper can be extended to the case of dynamic loading.

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References

  1. Onat, E. T. and Prager, W. “Limit analysis of shells of revolution,”Proceedings of the Royal Netherlands Academy of Sciences, 1954,57 B, 534–48.

    MathSciNet  Google Scholar 

  2. Hodge, P. G. Jr... “The Mises yield condition for rotationally symmetric shells,”Quarterly of Applied Mathematics, January 1961,18 (4), 305–11.

    MATH  MathSciNet  Google Scholar 

  3. —————.. “The linearization of plasticity problems by means of nonhomogeneous materials,”Proceedings of the Symposium on Non-Homogeneity in Elasticity and Plasticity, Warsaw, Pergamon Press, 1958.

    Google Scholar 

  4. ————— “Yield conditions for rotationally symmetric shells under axisymmetric loading,”Journal of Applied Mechanics, June 1960,27, 323–31.

    MathSciNet  Google Scholar 

  5. —————..Plastic Analysis of Structures, McGraw-Hill Book Company, Inc., New York, N.Y., 1959.

    MATH  Google Scholar 

  6. Drucker, D. C. .. “Limit analysis of cylindrical shells under axially-symmetric loading,”Proc. First Midwestern Conf. Solid Mech., Urbana (1953), 1954, pp. 158–63.

  7. Hopkins, H. G. and Prager, W. “The load-carrying capacities of circular plates,”J. Mech. Phys. Solids, 1953,2, 1–13.

    Article  MathSciNet  Google Scholar 

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Communicated by Dr. V. M. Ghatage,f.a.sc.

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Sankaranarayanan, R. A generalized square yield condition for shells of revolution. Proc. Indian Acad. Sci. 59, 127–140 (1964). https://doi.org/10.1007/BF03049198

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  • DOI: https://doi.org/10.1007/BF03049198

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