薄肉円板の剛体パンチによる大ひずみ大変形問題の弾塑性有限要素解析

概要

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The Stretching of peripherally clamped, thin, circular discs over rigid, cyrindrical punches is studied by means of an Updated Lagrangian type finite element method. The analysis is based on the elastic-plastic membrane theory ; it accounts for finite strain and displacement and embodies the classical J 2 flow law and the J 2 deformation theory. The geometry of the punch face varied between a hemispherical and a relatively shallow spherical (flat-bottomed) cap. Three models were employed to account for friction at the interface of the punch and disk. These were a no-friction, a full sticking condition and Coulomb friction hypothesis. The disk fails by excessive thinning. The region of strain localization and the rate at which the local neck grows are influenced by the punch geometry and the interfacial frictional conditions. The Coulomb friction and full-sticking models promote the formation of a local neck, and this is further accelerated the flatter the base of the punch. The material property n-value also affects the local neck. The calculations support the hypothesis that the higher the n-value, the better the material distributes the strain. It is also demonstrated that the result is not much affected by the different material models (J 2 F and J 2 D).
一般社団法人日本機械学会の論文
1986-09-25