Abstract
The Facet method is a new approach to implement the plastic anisotropic behaviour of polycrystalline materials in finite-element models for simulating metal forming processes. It employs analytical expressions of plastic potentials in strain rate space and/or stress space. The parameters in these expressions are obtained by fitting to the predictions of a multilevel model for the plastic deformation of a textured material. The resulting equipotential surfaces in strain rate space and yield loci in stress space are automatically convex. Examples of q-values and uniaxial yield stress variations as obtained with the Facet method in combination with the Taylor theory are shown for three industrial sheet metals. The results are compared to the ones calculated directly from the Taylor theory and those obtained with the Quantic method.
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References
M. Życzkowski, Anisotropic Yield Conditions. In: J. Lemaitre (Ed.), Handbook of Materials Properties, vol. I: Deformation of Materials. Academic Press, New York (2001) 155–165.
P. Van Houtte, A. Van Bael, J. Winters, The incorporation of texture-based yield loci into elastoplastic finite element programs. Textures and Microstructures 24 (1995) 255–272.
P. Van Houtte, A. Van Bael, Convex Plastic Potentials of 4th and 6th Rank for Anisotropic Materials, Int. J. Plasticity 20 (2004) 1505–1524.
R. Hill, Constitutive Dual Potentials in Classical Plasticity, J. Mech. Phys. Solids 35 (1987) 23–33.
H. Ziegler, An Introduction to Thermomechanics, North Holland Publishing Company, Amsterdam (1977).
J. Lemaître and J.L. Chaboche, Mechanics of Solid Materials, Cambridge University Press (1990).
P. Van Houtte, Application of Plastic Potentials to Strain Rate Sensitive and Insensitive Anisotropic Materials. Int. J. Plasticity 10 (1994) 719–748.
G.I. Taylor, Plastic strain in metals, J. Inst. Metals 62 (1938) 307–324.
S. Ristic, S. He, A. Van Bael, P. Van Houtte, “Texturebased explicit finite-element analysis of sheet metal forming”, Materials Science Forum 495–497 (2005) 1535–1540.
P. Van Houtte, S.K. Yerra and A. Van Bael, The Facet method: a hierarchical multilevel modelling scheme for anisotropic convex plastic potentials, submitted for publication to the International Journal of Plasticity (2007).
P. Van Houtte, S.K. Yerra and A. Van Bael, Hierarchical Multi-Level Modelling of Plastic Anisotropy using Convex Plastic Potentials, submitted for the Proceedings of ICOTOM 15 (2008).
A. Van Bael, S.K. Yerra and P. Van Houtte, Texture-Based Plastic Potentials in Stress Space, submitted for the Proceedings of ICOTOM 15 (2008).
A. Van Bael and P. Van Houtte, Assessment of Convex Plastic Potentials Derived from Crystallographic Textures, In: 10th ESAFORM Conference on Material Forming, E. Cueto and F. Cinesta, Eds., AIP Conference Proceedings 907, American Institute of Physics, Melville, New York, USA (2007) 88–93.
R.A.Lebensohn, C.N. Tomé, A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: application to zirconium alloys, Acta Metall. Mater. 41 (1993) 2611–2624.
P. Van Houtte, S. Li, M. Seefeldt and L. Delannay, Deformation texture prediction: from the Taylor model to the advanced Lamel model, Int. J. Plasticity 21 (2005) 589–624.
L. Delannay, P. J. Jacques and S. R. Kalidindi, Finite element modeling of crystal plasticity with grains shaped as truncated octahedrons, Int. J. Plasticity 22 (2006) 1879–1898.
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Van Bael, A., Yerra, S.K. & Van Houtte, P. The facet method for plastic anisotropy of textured materials. Int J Mater Form 1 (Suppl 1), 101–104 (2008). https://doi.org/10.1007/s12289-008-0034-z
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DOI: https://doi.org/10.1007/s12289-008-0034-z