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A pointwise estimate for the stress in a cylinder and its application to Saint-Venant's principle

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References

  1. Bramble, J.H., & L.E. Payne, Pointwise bounds on the first biharmonic boundary value problem. Journal of Mathematics and Physics 42, 278–286 (1963).

    Google Scholar 

  2. Courant, R., & D. Hilbert, Methods of Mathematical Physics, Vol. 2, pp. 232–234 (First English Edition). New York: Interscience Publishers 1962.

    Google Scholar 

  3. Dou, A., On the principle of Saint-Venant. Mathematics Research Center, U.S. Army, University of Wisconsin, Tech. Report No. 472 (1964).

  4. Eisenhart, L.P., Riemannian Geometry. Princeton: University Press 1949.

    Google Scholar 

  5. John, F., Estimates for the error in the equations of non-linear plate theory. New York University, Courant Inst. of Math., Science Report, IMM-NYU 308, Jan. 1963.

  6. John, F., Estimates for the derivatives of the stresses in a thin shell and interior shell equations. Communications on Pure and Applied Mathematics 18, No. 1/2, 235–267 (1965).

    Google Scholar 

  7. Sokolnikoff, I.S., Mathematical Theory of Elasticity (Second Edition). New York: McGrawHill 1956.

    Google Scholar 

  8. Toupin, R.A., Saint-Venant's Principle. Archive for Rational Mechanics and Analysis 18, No. 2, 83–96 (1965).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, The University of Wisconsin, Madison

    Joseph J. Roseman

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  1. Joseph J. Roseman
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Communicated by R. A. Toupin

This paper represents results obtained at the Courant Institute of Mathematical Sciences, New York University, with the support of the National Science Foundation under Grant NSF-GP-3465 and a National Science Foundation Cooperative Grant. A version of this paper was submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy at New York University.

The author would like to express his appreciation to Dr. Fritz John for his advice and encouragement.

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Roseman, J.J. A pointwise estimate for the stress in a cylinder and its application to Saint-Venant's principle. Arch. Rational Mech. Anal. 21, 23–48 (1966). https://doi.org/10.1007/BF00253047

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