Elasto/visco-plastic dynamic response of multi-layered shells of revolution.

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  • 多層複合軸対称殻の弾／粘塑性動的応答
  • タソウ フクゴウジク タイショウ カク ノ タマ ネンソセイ ドウテキ オウト

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Abstract

This paper is concerned with an analytical formulation and a numerical solution of the elasto/visco-plastic dynamic response of the multi-layered shells of revolution subjected to impulsive loads with application to a cylindrical shell. The equations of motion and the relations between the strains and displacements are derived by extending Sanders' theory for elastic thin shells. As the constitutive relation, Hooke's law is used in the linear elastic range, and the elasto/ visco-plastic equations by Perzyna are employed in the plastic range. As a numerical example, the elasto/visco-plastic equations by Perzyna are employed in the plastic range. As a numerical example, the elasto/visco-plastic dynamic response of a fixed supported two-layered cylindrical shell composed of mild steel and titanium subjected to impulsive load is analyzed. Numerical computations are 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 stress distributions and deformation vary significantly depending on the thickness ratio.

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