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Modeling the Anisotropy of Initial Yield Strength and Hardening Behavior of Crystals with Thin Platelet Precipitates

얇은 판상의 석출을 포함한 결정의 초기항복응력 이방성 및 경화거동에 관한 모델링

  • Published : 2005.09.01

Abstract

Precipitates, present in most commercial alloys, can have a strong influence on strength and hardening behavior of a single crystal. The effect of thin precipitates on the anisotropy of initial slip resistance and hardening behavior of crystals is modeled in this article. For the convenience of the computational derivation and implementation, the material formulation is given in the unrelated intermediate configuration mapped by the plastic part of the deformation gradient. Material descriptions for the considered two phased aggregates consisting in lattice hardening as well as isotropic hardening and kinematic hardening are suggested. Numerical simulations of various loading cases are presented to discuss and assess the performance of the suggested model. From the results of the numerical simulation, it is found that the suggested model represents the initial plastic anisotropy at least qualitatively well and that it has an improved representation of various characteristic hardening behaviors in comparison with conventional hardening descriptions where the precipitate structure is not reflected.

Keywords

References

  1. W. F. Hosford, R. H. Zeisloft, 1972, The anisotropy of age-hardened Al-4 Pct Cu single crystals during plane-strain compression, Metall. Trans., Vol. 3, pp. 113-121 https://doi.org/10.1007/BF02680590
  2. P. Bate, W. T. Roberts, D. V. Wilson, 1981, The plastic anisotropy of two-phase aluminum alloys-I. Anisotropy in unidirectional deformation, Acta Metal., Vol. 29, pp. 1797-1814 https://doi.org/10.1016/0001-6160(81)90106-1
  3. Sung Ho Kim, B. J. Song, Woo Seog Ryu, 2001, The effect of W and N addition on the mechanical properties of 10Cr steels, Metals and Materials International, Vol. 7, pp. 297-302 https://doi.org/10.1007/BF03186072
  4. A. W. Zhu, J. Chen, E. A. Starke Jr., 2000, Precipitation strengthening of stress-aged AI-xCu alloys, Acta. Mat., Vol. 48, pp. 2239-2246 https://doi.org/10.1016/S1359-6454(00)00026-4
  5. ABAQUS, 2002, ABAQUS, Reference Manuals. Hibbit, Karlsson, Sorensen, Inc.
  6. Chung-Souk Han, R. H. Wagoner, F. Barlat, On precipitate induced hardening in crystal plasticity: algorithms and simulations, Int. J. Plasticity, Vol. 20, pp. 1441-1461 https://doi.org/10.1016/j.ijplas.2003.11.002
  7. Y. W. Chang, R. J. Asaro, 1981, An experimental study of shear localization in aluminum-copper single crystals, Acta Metal., Vol. 29, pp. 241-257 https://doi.org/10.1016/0001-6160(81)90103-6
  8. R. Becker, J. F. Butler, H. Bu, L. A. Lalli, 1991, Analysis of an aluminum single-crystal with unstable initial orientation (001)[110] in channel die compression, Metal. Trans. A, Vol. 22, pp. 45-58 https://doi.org/10.1007/BF03350948