Abstract
The paper presents a new FEM-based crystallographic model. The major task of the model is to investigate the inhomogeneous elastoplastic processes on the grain level of deforming polycrystals. The rate-dependent constitutive equations are presented for small deformations of pure fcc metal crystals in the low temperature range. Hardening is regarded via the development of kinematic and isotropic variables. Comprehensive simulations show that the model is capable to predict the typical features of polycrystalline behaviour. Here, special attention is paid to the mechanisms that control the formation of strain localizations.
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References
Becker, R. and Panchanadeeswaran, S. (1995) Effects of Grain Interactions on Grain Deformation and Local Texture in Polycrystals, Acta Metall. Mater. 43(No.7), 2701–2719.
Essmann, U. and Mughrabi, H. (1979) Annihilation of Dislocations during Tensile and Cyclic Deformation and Limits of Dislocation Densities, Phil. Mag. A40(No.6), 731–756.
Estrin, Y. (1987) Stoffgesetze der plastischen Verformung und Instabilitaten des plastischen Fließens, VDI Forschungsheft 642, 1–48.
Edwards, E.H. and Washburn, J. (1954) Strain Hardening of Latent Slip Systems in Zinc Crystals, Trans. AIME 200, 1239.
Franciosi, P., Berveiller, M. and Zaoui, A. (1980) Latent Hardening in Copper and Aluminium Single Crystals, Acta Metall. 28, 273–283.
Frost, H.J. and Ashby, M.F. (1982) Deformation-Mechanism-Maps, the Plasticity and Creep of Metals and Ceramics, Pergamon Press, Oxford.
Giese, A. and Estrin, Y. (1993) Mechanical Behaviour and Microstructure of Fatigued Aluminium Single Crystals, Scripta Metall. Mater. 28, 803.
Harder, J. (1997) Simulation lokaler Fließvorgänge in Polykristallen, Braunschweig Series on Mechanics 28, Mechanik-Zentrum TU Braunschweig.
Harren, S.V. and Asaro, R.J. (1989) Nonuniform Deformations in Polycrystals and Aspects of the Validity of the Taylor Model, J. Mech. Phys. Solids 37(No.2), 191–232.
Havliček F., Kratochvil, J., Tokuda, M. and Lev, V. (1990) Finite Element Model of Plastically deformed Multicrystal, Int. J. of Plasticity 6, 281–291.
Jordan, E.H. and Walker, K.P. (1992) A Viscoplastic Model for Single Crystals, J. Eng. Mat. Tech. 114, 19–26.
Kocks, U.F., Argon, A.S. and Ashby, M.F. (1975) Thermodynamics and Kinetics of Slip, Progress Materials Science, Pergamon Press.
McLean (1957) Grain Boundaries in Metals, Oxford University Press, London.
Méric, L., Cailletaud, G. and Gasperini, M. (1994) F.E. Calculations of Copper Bicrystal Specimens submitted to Tension-Compression Test, Acta Metall. Mater. 42(No.3), 921–935.
Ohashi, T. (1987) Computer Simulation of Non-Uniform Multiple Slip in Face Centered Cubic Bicrystals, Trans. Japan Inst. Met. 28(No.11), 906–915.
Paufler, P. and Schulze, G. (1978) Physikalische Grundlagen mechanischer Festkörpereigenschaften, Vieweg-Verlag, Braunschweig.
Teodosiu, C., Raphanel, J.L. and Tabourot, L. (1993) Finite Element Simulation of the Large Elastoplastic Deformation of Multicrystals, in Theodosiu, Raphanel and Sidoroff (eds.), Mecamat’91, Balkena, Rotterdam, 153–168.
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© 1999 Kluwer Academic Publishers
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Steck, E.A., Harder, J. (1999). Finite Element Simulation of Local Plastic Flow in Polycrystals. In: Bruhns, O.T., Stein, E. (eds) IUTAM Symposium on Micro- and Macrostructural Aspects of Thermoplasticity. Solid Mechanics and its Applications, vol 62. Springer, Dordrecht. https://doi.org/10.1007/0-306-46936-7_8
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DOI: https://doi.org/10.1007/0-306-46936-7_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-5265-5
Online ISBN: 978-0-306-46936-7
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