Analysis Between Earing and Drawing for Orthotropic Sheet of Cubic in Deep Drawing
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摘要: 正交弱各向异性金属板材拉深过程中,一块半径为Rb的对称圆板,放在半径为ra(rab)的冲模上,在冲头作用下,形成一个柱状杯子,由于材料的各向异性,使杯沿上出现“耳朵”.假设板材为刚塑性材料并服从Hill屈服准则,推得拉深过程中,反应制耳的变量拉伸率ν=Rb/ra与Hill屈服准则系数之间的关系式和弱织构正交板材冲深过程中杯高的理论表达式(含织构系数).通过3种试样的算例得出,改变板材的织构系数,改变制耳的大小,最终达到消除制耳.Abstract: In deep drawing (or the swift cupping test) of sheet metals, a circular blank of radius Rb is placed symmetrically under a blankholder over a die with a circular aperture of radius rab. A flatheaded punch of circular crosssection is forced down onto the blank, which is allowed to slip under the blankholder 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 rigidplastic and obey Hill’s quadratic yield function, an explicit formula expressing the earing value of a deepdrawn cup in terms of the drawing ratio ν=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.
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Key words:
- cubic /
- earing /
- Hill yield function /
- orthotropic sheet /
- texture coefficient
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