多層回転対称殻の弾／粘塑性変形

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  • Elasto/visco-plastic deformation of multi-layered shells of revolution.
  • タソウ カイテン タイショウ カク ノ ダン ネンソセイ ヘンケイ

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This paper is concerned with an analytical formulation and a numerical solution of the elasto/visco-plastic problems of multi-layered shells of revolution under asymmetrical loads with application to a cylindrical shell. The analytical formulation is developed by extending the Sanders theory on elastic shells. It is assumed that the total strain rates are composed of an elastic part and a part due to visco-plasticity. The elastic strains are proportional to the stresses by Hooke's law. The visco-plastic strain rates are related to the stresses by Perzyna's equation. As a numerical example, the elasto/visco-plastic deformation of a two-layered cylindrical shell composed of a titanium and a mild steel layer subjected to locally distributed loads is analyzed. Numerical computations have been carried out for three cases of the ratio of the thickness of the titanium layer to the shell thickness. It is found from the computations that the stress distributions and the deformation are significantly varied depending on the ratio.

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