Analysis Between Earing and Drawing for Orthotropic Sheet of Cubic in Deep Drawing

YUE Wen-xia; WU Lang; GUAN Ming-wen; TANG Meng-jian

doi:10.3879/j.issn.1000-0887.2013.03.008

Volume 34 Issue 3

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YUE Wen-xia, WU Lang, GUAN Ming-wen, TANG Meng-jian. Analysis Between Earing and Drawing for Orthotropic Sheet of Cubic in Deep Drawing[J]. Applied Mathematics and Mechanics, 2013, 34(3): 282-296. doi: 10.3879/j.issn.1000-0887.2013.03.008

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Analysis Between Earing and Drawing for Orthotropic Sheet of Cubic in Deep Drawing

doi: 10.3879/j.issn.1000-0887.2013.03.008

¹College of Architectural and Civil Engineering, Nanchang University, Nanchang 330029, P.R.China; ²Jiangxi Science and Technology Normal University, Nanchang 330029, P.R.China

Received Date: 2012-11-22
Rev Recd Date: 2013-01-08
Publish Date: 2013-03-15

Abstract

Abstract

In deep drawing (or the swift cupping test) of sheet metals, a circular blank of radius R_b is placed symmetrically under a blankholder over a die with a circular aperture of radius r_ab. 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 ν=R_b/r_a 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.
- cubic,
- earing,
- Hill yield function,
- orthotropic sheet,
- texture coefficient

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References(17)

References

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