应用数学和力学2013，Vol.34Issue(3)：282-296,15.DOI:10.3879/j.issn.1000-0887.2013.03.008
立方晶粒正交板材的拉深制耳分析
Analysis Between Earimg and Drawing for Orthotropic Sheet of Cubic in Deep Drawing
摘要
Abstract
In deep drawing (or the swift cupping test) of sheet metals, a circular blank of radius Rb is placed symmetrically under a blank-holder over a die with a circular aperture of radius ra < Rb. A flat-headed punch of circular cross-section is forced down onto the blank, which is allowed to slip under the blank-holder and formed into a cylindrical cup, open at the top and closed at the base. Because of plastic anisotropy of the sheet metal, it is commonly observed that "ears" form in positions roughly symmetrical with respect to the direction of rolling in the original sheet. Under the assumption that the blank be rigid-plastic and obey Hill's quadratic yield function, an explicit formula expressing the earing value of a deep-drawn cup in terms of the drawing ratio v = Rb/ra was derived. The validity of this formula (including texture coefficient) is examined against results of cupping tests conducted on batches of commercially pure (L2Y2) aluminum blanks that had undergone various heat treatments.关键词
立方晶粒/制耳/Hill屈服准则/正交板材/织构系数Key words
cubic/ earing/Hill yield function/orthotropic sheet/texture coefficient分类
数理科学引用本文复制引用
岳文霞,吴浪,管明文,汤梦剑..立方晶粒正交板材的拉深制耳分析[J].应用数学和力学,2013,34(3):282-296,15.基金项目
国家自然科学基金资助项目(10972098 （）
11172122 （）
51268043) （）
江西省主要学科学术和技术带头人培养计划项目 （）
江西省赣鄱英才555工程项目 （）
