Physically and geometrically nonlinear deformation of conical shells with an elliptic hole |
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Authors: | I S Chernyshenko E A Storozhuk S B Kharenko |
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Institution: | (1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine |
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Abstract: | The elastoplastic state of conical shells weakened by an elliptic hole and subjected to finite deflections is studied. The
material of the shells is assumed to be isotropic and homogeneous; the load is constant internal pressure. The problem is
formulated and a technique for numerical solution with allowance for physical and geometrical nonlinearities is proposed.
The distribution of stresses, strains, and displacements along the hole boundary and in the zones of their concentration is
studied. The solution obtained is compared with the solutions of the physically and geometrically nonlinear problems and a
numerical solution of the linear elastic problem. The stress-strain state around an elliptic hole in a conical shell is analyzed
considering both nonlinearities
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 2, pp. 69–77, February 2008. |
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Keywords: | nonlinear problem conical shells stress concentration elliptic hole internal pressure plastic strains finite deflections |
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