簡易要素モデルによる薄肉シェル構造の極限解析 : 第2報,更新ラダランジュ表示の定式化によるクラッシュ解析

概要

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The new discrete element model for the limit analysis of thin shells proposed in the preceding report is extended to the crush analysis accompanied by extremely large rotations and deformations. The formulation is conducted according to the incremental theory by the updated Lagrangian formulation with the redefinition of element coordinate systems at each loading step. The present discrete model is so simple in its mathematical nature that considerable reduction of the computing cost can be expected in highly nonlinear analyses such as crush analysis. Numerical studies are conducted forthe crushing behavior of circular cylinders and square tubes under axial compression as well as the nonaxisymmetric elastoplastic snap-through of an axisymmetric shell container. The calculated results are compared with the existing finite element solutions and the experimental results in order to confirm the validity of the present method.
社団法人日本機械学会の論文
1990-10-25