Transactions of Materials Processing (소성∙가공)

The Korean Society for Technology of Plasticity and materials processing (한국소성∙가공학회)
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Study on Phenomenological and Crystal Plasticity Models to Predict Anisotropic Behaviors for Aluminum Alloy Sheets

알루미늄 판재의 이방성거동 예측을 위한 현상학적 모델과 결정소성학적 모델의 비교연구

  • Chung, W.J. ;
  • Yoon, J.W. (Alcoa technical center) ;
  • Cuitino, A. (Dept. of Aerospace and mechanical Eng. Reutgers Univ.)
  • Published : 2006.11.01
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Abstract

Anisotropy has an important effect on the strain distribution in aluminum alloy sheet forming, and it is closely related to the thinning and formability of sheet metals. Thus, the anisotropy of the material should be properly considered for the realistic analyses of aluminum sheet forming processes. For this, anisotropy can be approached in two different scales: phenomenological and microstructural (polycrystal) models. Recent anisotropic models (Yld2000-2d; Barlat et al.[1] 2003, Cuitino et al.[2] 1992) were employed in this work. For the simulation using shell element, the method which can impose plane stress condition in the polycrystal model is developed. Lankford values and yield stress ratios are calculated along various directions. As planar anisotropic behavior, a circular cup deep drawing simulation was carried out to compare the phenomenological and microstructure models in terms of earing profile.

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References

  1. F. Barlat, J. C. Brem, J. W. Yoon, K. Chung, R. E. Dick, S. H. Choi, F. Pourboghrat, E. Chu, D. J. Lege, 2003, Plane stress yield function for aluminum alloy sheets, Int. J. Plasticity, Vol. 19, pp. 1297-1319 https://doi.org/10.1016/S0749-6419(02)00019-0
  2. A. M. Cuitino, M. Ortiz, 1993, Computational modeling of single crystals, Modeling and Simulation in Materials Science and Engineering, Vol. 1, pp. 255-263
  3. R. Hill, 1948, A theory of the yielding and plastic flow of anisotropic metals, Proc. Roy. Soc. London A193, pp. 281-297
  4. G. Taylor, 1938, Plastic strain in metals, Journals of the Institute of Metals, Vol. 62, p. 307
  5. R. Rice, 1971, Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity, Journal of the Mechanics and Physics of Solids, Vol. 19, p. 433 https://doi.org/10.1016/0022-5096(71)90010-X
  6. R. Asaro, 1983, Micromechanics of crystals and polycrystals, Advances in Applied Mechanics, Vol. 23, pp. 1-115 https://doi.org/10.1016/S0065-2156(08)70242-4
  7. U. Kocks, C. Tome, H. Wenk, 1998, Texture and Anisotropy: Preferred Orientations in Polycrystals and Their Effect on Material Properties, Cambridge University Press
  8. M. Grujicic, S. Batchu, 2002, Crystal plasticity analysis of earing in deep-drawn OFHC cups, J. of Material Science, Vol. 37, pp. 753-764 https://doi.org/10.1023/A:1013839914584
  9. P. R. Dawson, S. R. MacEwen, P. D. Wu, 2003, Advances in sheet metal forming analyses: dealing with mechanical anisotropy from craystallographic texture, International Materials Reviews, pp. 86-122
  10. E. H. Lee, 1969, Elastic-plastic deformation at finite strains, Journal of Applied Mechanics, Vol. 36, p. 1 https://doi.org/10.1115/1.3564580
  11. P. Franciosi, A. Zaoui, 1982, Multislip in f.c.c. crystals: A theoretical approach compared with experimental data, Acta Metallurgica, Vol. 30, p. 1627 https://doi.org/10.1016/0001-6160(82)90184-5
  12. L. M. Smith, F. Pourboghrat, J. W. Yoon, T. B. Stoughton, 2005, Proceedings of NUMISHEET 2005: the sixth international conference and workshop on numerical simulation of 3D sheet metal forming processes, August 15-19, Detroit, MI, U.S.A

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