剛塑性有限要素解析における弾性変形の取込み

概要

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A rigid-plastic finite element method which takes account of the effect of elastic deformation is proposed. In the present formulation, the nodal forces for elements undergoing rigid-plastic deformation are equilibrated with those undergoing elastic or elastic-plastic deformation at the end of each deformation step. The nodal forces for the elastically or the elastic-plastically deforming elements are derived by considering the rotational effect of the elements during deformation. Plane-strain bending of a plate using a round punch is simulated by the present method under a mixed condition of rigid-plastically and elastically deforming elements in the plate. The elastically deforming element is converted to rigid-plastic one after satisfying the yield criterion, although all the elements are set to be elastically deforming at the beginning of the bending. Deformation behavior in the early stages of bending is successfully calculated. The calculated springback angles are in reasonable agreement with the experimental ones for aluminum plates, because the stress distribution in the elastic region which does not attain plastic deformation around the edge of the plate is taken into consideration.
一般社団法人日本機械学会の論文
1994-05-25