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
Hershey, A.V., 1954. The plasticity of an isotropic aggregate of anisotropic face-centered cubic crystals, ASME J. Appl. Mech. 21, 241–249.
Hosford, W.F., 1972. A generalized isotropic yield criterion. ASME J. Appl. Mech. Trans. 39, 607–609.
Barlat, F., Lege, D.J., Brem, J.C., 1991. A six-component yield function for anisotropic materials. Int. J. Plasticity 7, 693–712.
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.
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.
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.
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.
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.
Banabic, D., Barlat, F., Cazacu, O., Kuwabara, T., 2010. Advances in Anisotropy and Formability. Int. J. Material Forming 3, 165–189.
Cazacu, O., Plunkett, B., Barlat, F., 2006. Orthotropic yield criterion for hexagonal close packed metals. Int. J. Plasticity 22, 1171–1194.
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.
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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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