非軸対称薄板の剛体パンチによる面外大ひずみ大変形問題の弾塑性有限要素解析 : 第1報,J2流れ則の場合

抄録

An Updated Lagrange type finite element procedure is developed for modeling the punch stretching of peripherally clamped square plates over arbitrary shaped punches. The analysis is based on the elastic-plastic membrane theory, it accounts for finite strain and displacement and embodies the classical J2 flow law. The SQUARE BOX-SHAPE and CROSS-SHAPE are employed for the geometry of the flat-bottomed punch face. The Coulomb friction condition is introduced to account for the friction at the interface of the punch and the square blank. It is demonstrated that the region of strain (stretch) localization and the rate at which the local neck grows are strongly influenced by the friction condition and the punch geometry.