Overlayモデルによる薄肉殻の弾/粘塑性動的応答の解法

抄録

The numerical analysis of the elasto/visco-plastic dynamic response of the general thin shells to arbitrary loads is carried out by the use of the elasto/visco-plastic overlay model which is able to express the Bauschinger effect and the strain rate dependence. Namely Perzyna's equation is used for the constitutive relation of each layer of the overlay model and as a whole the Bauschinger effect and the influence of viscosity in the plastic range of the material are taken into account. The equations of motion derived from the Sanders nonlinear theory for thin shells by adding the inertia terms are used, and the relations between strains and displacements where rotations of the shell are considered for the membrane strains are employed. The equations are numerically solved by the finite difference method. As a numerical example a cylindrical shell under a semisinusoidal external load with respect to time is analyzed and the results are compared with those in the case of isotropic hardening.