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Department of Mechanical Engineering

Effect of Anisotropy on Formability

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  • Profil- und Blechumformung
  • Umformtechnische Grundlagenforschung
© IUL
Differing effects of normal anisotropy on two anisotropic yield functions, Hill 1948 and 1979. Source: A. Graf and W. F. Hosford, Metall. Trans. A, 1990
The effect of anisotropy on formability is investigated through experimental validation of analytical and numerical models.

Funding and contact

Funding  
Project  
Project Partners Dr. Yong Hou, Prof. Dr. Yannis Korkolis
Contact Monica Trask M.Sc.
Status On going

Project description:

It has been long observed that a material’s anisotropy plays a role in its formability. Initially it was observed in the deep drawing of cylindrical cups, that high normal anisotropy (r-value) led to improved Limiting Drawing Ratios (LDR) and low planar anisotropy (∆r) reduced the effects of earing. Furthermore, Lankford et. al. investigated the effects of anisotropy on asymmetric fender draws, where it was found a range of r-values paired with characteristic magnetic anisotropy curves, predictably lead to good press performance in comparison to materials of similar tensile properties.

Although the phenomena has been obeserved for years, it is not well defined or captured analytically, as many investigations have demonstrated the sensitivity theoretical FLCs have on many material constitutive models(see figure below).

In addition, there are significant challenges in demonstrating the phenomena experimentally, due to the complexities of varying anisotropic characteristics while keeping all other material parameters the same.

Therefore, it is necessary to investigate the problem using a careful, experimental- analytical-numerical approach. Through validation of experimental results, analytical models can be implemented into FEA and used to investigate the effects of r and ∆r on formability.

Publications:

Banabic, D, et al. 2010. Advances in Anisotropy and Formability. International Journal of Material Forming, vol. 3, no. 3, pp. 165–89, https://doi.org/10.1007/s12289-010-0992-9.

 

Barlat, F. 1987. Crystallographic Texture, Anisotropic Yield Surfaces and Forming Limits of Sheet Metals. Materials Science and Engineering, vol. 91, pp. 55–72.

 

Barlat, F. 1989. Forming Limit Diagrams - Predictions Based on Some Microstructural Aspects of Materials. The Minerals, Metals and Materials Society

 

Chan, K. S. 1985. Effects of Plastic Anisotropy and Yield Surface Shape on Sheet Metal Stretchability. Metallurgical Transactions A, vol. 16, no. 4, pp. 629–39, https://doi.org/10.1007/BF02814237.

 

Ghosh, A. K., and Hecker S. S., 1974. Stretching Limits in Sheet Metals: In-Plane versus out-of-Plane Deformation. Metallurgical Transactions, vol. 5, no. 10, pp. 2161–64, https://doi.org/10.1007/BF02643929.

 

Graf, A., and Hosford W.F., 1990. Calculations of Forming Limit Diagrams.Metallurgical Transactions A, vol. 21, no. 1, pp. 87–94, https://doi.org/10.1007/BF02656427.

Hill, R., 1924. A Theory of the Yielding and Plastic Flow of Anisotropic Metals. Amer. J. Math, vol. 67, https://royalsocietypublishing.org/.

Hosford, W. F., 1996. On the Crystallographic Basis of Yield Criteria.Textures and Microstructures, vol. 26, no. C, , pp. 479–93, https://doi.org/10.1155/tsm.26-27.479.

Keeler, S. P., 1961.Plastic Instability and Fracture in Sheets. ASM Trans, vol. 56, pp. 25–48, http://hdl.handle.net/1721.1/120282.

Kohara, S., 1993. Forming-Limit Curves of Aluminum and Aluminum Alloy Sheets and Effects of Strain Path on the Curves. Journal of Materials Processing Tech., vol. 38, no. 4, pp. 723–35, https://doi.org/10.1016/0924-0136(93)90046-9.

Lankford, W. T., et al. 1950. New Criteria for Predicting the Press Performance of Deep Drawing Sheets. Transactions of the American Society for Metals, vol. XLII, pp. 1197–232.

Marciniak, Z, et al., 1973. Influence of the Plastic Properties of a Material on the Forming Limit Diagram for Sheet Metal in Tension. International Journal of Mechanical Sciences, vol. 15, no. 10, pp. 789–800, https://doi.org/10.1016/0020-7403(73)90068-4.

Naziri, H., and R. Pearce., 1968. The Effect of Plastic Anisotropy on Flange-Wrinkling Behaviour during Sheet Metal Forming. International Journal of Mechanical Sciences, vol. 10, pp. 681–94.

Sowerby, R., and J. L. Duncan., 1971. Failure in Sheet Metal in Biaxial Tension. International Journal of Mechanical Sciences, vol. 13, no. 3, pp. 217–29, https://doi.org/10.1016/0020-7403(71)90004-X.

Tian, H., et al. 2017. Earing in Cup-Drawing of Anisotropic Al-6022-T4 Sheets. International Journal of Material Forming, vol. 10, no. 3, pp. 329–43, https://doi.org/10.1007/s12289-016-1282-y.