非対称荷重を受ける直交異方性厚肉回転対称殻の弾／粘塑性解析

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  • Elasto/visco-plastic analysis of orthotropic moderately thick shells of revolution under asymmetrical loading.
  • ヒタイショウ カジュウ オ ウケル チョッコウ イホウセイ アツニク カイテン

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An analytical method for the elasto/visco-plastic problems of general, orthotropic moderately thick shells of revolution subjected to asymmetrical loads is developed in consideration of the effect of shear deformations. The Reissner-Naghdi theory for elastic moderately thick shells is extended in this analysis. As the constitutive equation, Hooke's law for orthotropic materials is used in the elastic region, and equations based on the orthotropic visco-plastic theory derived from the orthotropic plastic theory by Hill are employed in the plastic range. The visco-plastic strain rates are related to the stresses by Perzyna's equation. In order to check the adequacy of the numerical analysis, experiments are performed on the elasto/visco-plastic deformation of a titanium cylindrical shell subjected to locally distributed loads. Good agreement is obtained between the experimental results and analytical solutions. The fundamental equations for the increment are numerically solved by a finite difference method and the solutions are obtained by integration of the incremental values.

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