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Anisotropic Yield Functions

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60 Excellent Inventions in Metal Forming

Abstract

The development of yield functions for anisotropic materials is presented in a concise manner. Although the models considered are expressed at the continuum scale, the physical principles guiding the development are underlined. This review considers mostly the description of plastic anisotropy under the assumption of isotropic hardening, which includes the case of materials exhibiting the strength-differential effect. However, an extension of the yield function concept to the modeling of the Bauschinger effect and other anisotropic hardening phenomena is briefly introduced.

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References

  1. Hershey, A.V., 1954. The plasticity of an isotropic aggregate of anisotropic face-centered cubic crystals, ASME J. Appl. Mech. 21, 241–249.

    MATH  Google Scholar 

  2. Hosford, W.F., 1972. A generalized isotropic yield criterion. ASME J. Appl. Mech. Trans. 39, 607–609.

    Article  Google Scholar 

  3. Barlat, F., Lege, D.J., Brem, J.C., 1991. A six-component yield function for anisotropic materials. Int. J. Plasticity 7, 693–712.

    Article  Google Scholar 

  4. Barlat, F., Brem, J.C., Yoon, J.W., Chung, K., Dick, R.E., Lege, D.J., Pourboghrat, F., Choi, S.-H., Chu, E., 2003. Plane stress yield function for aluminum alloy sheets–Part I: Theory. Int. J. Plasticity 19, 1297–1319.

    Article  MATH  Google Scholar 

  5. Barlat, F., Yoon, J.W., Cazacu, O., 2007. On linear transformations of stress tensors for the description of plastic anisotropy. Int. J. Plasticity 23, 876–896.

    Article  MATH  Google Scholar 

  6. Barlat, F., Lian, J., 1989. Plastic behavior and stretchability of sheet metals. Part I: A yield function for orthotropic sheets under plane stress conditions. Int. J. Plasticity 5, 51–66.

    Article  Google Scholar 

  7. Barlat, F., Aretz H., Yoon, J.W., Karabin, M.E., Brem J.C., Dick R.E., 2005. Linear transformation-based anisotropic yield functions. Int. J. Plasticity 21, 1009–1039.

    Article  MATH  Google Scholar 

  8. Van den Boogaard, A.H., Havinga, J., Belin, A., Barlat, F., 2015. Parameter reduction for the Yld2004-18p yield criterion. Int. J. Material Forming, in press, doi:10.1007/s12289-0151221-3.

    Google Scholar 

  9. Banabic, D., Barlat, F., Cazacu, O., Kuwabara, T., 2010. Advances in Anisotropy and Formability. Int. J. Material Forming 3, 165–189.

    Article  Google Scholar 

  10. Cazacu, O., Plunkett, B., Barlat, F., 2006. Orthotropic yield criterion for hexagonal close packed metals. Int. J. Plasticity 22, 1171–1194.

    Article  MATH  Google Scholar 

  11. Barlat, F., Vincze, G., Grácio, J.J., Lee, M.G., Rauch, E.F., Tomé, C., 2014. Enhancements of homogenous anisotropic hardening model and application to mild and dual-phase steels. Int. J. Plasticity 58, 201–218.

    Article  Google Scholar 

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Correspondence to Frédéric Barlat .

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Barlat, F., Bong, H.J. (2015). Anisotropic Yield Functions. In: Tekkaya, A., Homberg, W., Brosius, A. (eds) 60 Excellent Inventions in Metal Forming. Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46312-3_7

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  • DOI: https://doi.org/10.1007/978-3-662-46312-3_7

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  • Publisher Name: Springer Vieweg, Berlin, Heidelberg

  • Print ISBN: 978-3-662-46311-6

  • Online ISBN: 978-3-662-46312-3

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