0
TECHNICAL PAPERS

Bicrystal-Based Modeling of Plasticity in FCC Metals

[+] Author and Article Information
B. J. Lee

Department of Civil Engineering, Feng Chia University, Taichung, Taiwan, ROC

S. Ahzi

University Louis Pasteur, IPST, IMFS-UMR7507, 15-17 Rue du Marechal Lefebvre, 67100 Strasbourg, France

D. M. Parks

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139

J. Eng. Mater. Technol 124(1), 27-40 (Jun 21, 2001) (14 pages) doi:10.1115/1.1420196 History: Received January 02, 2001; Revised June 21, 2001
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.

References

Taylor,  G. I., 1938, “Plastic strain in metals,” J. Inst. Met., 62, p. 307.
Hutchinson,  J. W., 1976, “Bounds and self-consistent estimates for creep of polycrystalline materials,” Proc. R. Soc. London, Ser. A, 348, p. 101.
Kocks,  U. F., 1970, “The relation between polycrystalline deformation and single-crystal deformation,” Metall. Trans., 1, p. 1121.
Asaro,  R. J., and Needleman,  A., 1985, “Texture development and strain hardening in rate dependent polycrystals,” Acta Metall., 33, p. 923.
Kalidindi,  S. R., Bronkhorst,  C. A., and Anand,  L., 1992, “Crystallographic texture evolution in bulk deformation processing of FCC metals,” J. Mech. Phys. Solids, 40, p. 537.
Sachs,  G., 1928, “Plasticity problems in metals,” Z. VD1, 72, p. 734.
Leffers,  T., and van Houtte,  P., 1989, “Calculation and experimental orientation distributions of two lamellae in rolled brass,” Acta Metall., 37, p. 1191.
Leffers,  T., 1968, “Computer simulation of the plastic deformation in faced centered cubic polycrystals and the rolling texture derived” Riso Report No. 184 (ICOTOM 1), pp. 1–33.
Leffers,  T., 1993, “Lattice rotations during plastic deformation with grain subdivision,” Mater. Sci. Forum, 157-162, pp. 1815–1820.
Leffers, T., 1998, “Aspects of Grain Subdivision,” Plasticity 98, A. Khan, ed., pp. 165–168.
Leffers,  T., 2001, “A model for rolling deformation with grain subdivision. Part I: the initial stage,” Int. J. Plast. 17, pp. 469–489.
van Houte P., Delannay L., and Samajdar I., 1998, “Prediction of cold rolling textures and strain heterogeneity of steel sheets by means of the lamel model,” Plasticity98 , A. Khan, ed., pp. 149–152.
van Houte,  P., Delannay,  L., and Samajdar,  I., 1999, “Prediction of cold rolling textures and strain heterogeneity of steel sheets by means of the lamel model,” Textures Microstruct., 31, p. 109.
Kocks, U. F., and Canova, G. R., 1981, “How many slip systems and which?,” Deformation of Polycrystals, Riso National Laboratory, Hansen et al., eds., pp. 35–44.
Molinari,  A., Canova,  G. R., and Ahzi,  S., 1987, “A self-consistent approach of the large deformation polycrystal Viscoplasticity,” Acta Metall., 35, p. 2983.
Parks,  D. M., and Ahzi,  S., 1990, “Polycrystalline plastic deformation and texture evolution for crystal lacking five independent slip systems,” J. Mech. Phys. Solids, 38, p. 701.
Ahzi, S., Parks, D. M., and Argon, A. S., 1990, “Modeling of plastic deformation and evolution of anisotropy in semi-crystalline polymers,” Computer Modeling and Simulation of Manufacturing Processes, B. Singh et al., eds, ASME, MD-20, p. 287.
Schoenfeld,  S. E., Ahzi,  S., and Asaro,  R. J., 1995, J. Mech. Phys. Solids, 43, p. 415.
Lee,  B. J., Ahzi,  S., and Asaro,  R. J., 1995, Mech. Mater., 20, p. 1.
Dahoun,  A., Canova,  G. R., Molinari,  A., Phillipe,  M. J., and G’Sell,  C., 1991, Textures Microstruct., 14-18, p. 347.
G’Sell,  C., Dahoun,  A., Royer,  F. X., and Phillipe,  M. J., 1999, Modelling Simul. Sci. Eng., 7, pp. 817–828.
Ahzi,  S., Asaro,  R. J., and Parks,  D. M., 1993, “Application of crystal plasticity to mechanically processed BSCCO superconductors,” Mech. Mater., 15, p. 201.
Lee,  B. J., Parks,  D. M., and Ahzi,  S., 1993, “Micromechanical modeling of large plastic deformation and texture evolution in semi-crystalline polymers,” J. Mech. Phys. Solids, 41, p. 1651.
Lee,  B. J., Ahzi,  S., Kad,  B., and Asaro,  R. J., 1993, Scr. Metall., 29, pp. 823–828.
Hines,  J., Vecchio,  K. S., and Ahzi,  S., 1998, “Modeling of microstructure evolution in adiabatic shear bands,” Metall. Mater. Trans. A, 29, p. 191.
Lee,  B. J., Vecchio,  K. S., Ahzi,  S., and Schoenfeld,  S., 1997, “Modeling the mechanical behavior of tantalum,” Metall. Mater. Trans. A, 28, p. 113.
Molinari,  A., and Toth,  L., 1994, Acta Metall. Mater., 42, p. 2453.
Lebensohn,  R. A., and Tomé,  C. N., 1993, Acta Metall. Mater., 41, p. 2611.
Bronkhorst,  C. A., Kalidindi,  S. R., and Anand,  L., 1992, “Polycrystalline plasticity and the evolution of crystallographic texture in FCC metals,” Philos. Trans. R. Soc. London, Ser. A, 341, p. 443.
Leffers,  T., 2001, “A model for rolling deformation with grain subdivision. Part II: the subsequent stage,” Int. J. Plast. 17, pp. 491–511.
Garmestani,  H., Lin,  S., Adams,  B. L., and Ahzi,  S., 2001, J. Mech. Phys. Solids, 49, pp. 589–607.
Asaro,  R. J., and Rice,  J. R., 1977, “Strain localization in ductile single crystals,” J. Mech. Phys. Solids, 25, p. 309.
Lee, B. J., Ahzi, S., and Parks D. M., 1998, “Intermediate modeling of polycrystal deformation,” Plasticity 98, A. Khan, ed., pp. 377–380.

Figures

Grahic Jump Location
Schematic representation of bicrystal inclusion
Grahic Jump Location
The random generated initial distributions of (a) (111) equal area pole figure and (b) bicrystal interface normals represent the initially isotropic texture for undeformed OFHC copper. Axis perpendicular to the projection plane is the loading direction in uniaxial tension/compression or plane strain compression.
Grahic Jump Location
The calculated equivalent macroscopic stress, σ̄eq, as a function of equivalent macroscopic strain, ε̄eq=∫ot33dt, in uniaxial compression test for (a) pure Sachs model, (b) Sachs-bicrystal model, and (c) Taylor-bicrystal model of the same given material constants
Grahic Jump Location
The predicted crystallographic textures obtained from (a) pure Sachs model, (b) Sachs-bicrystal model, and (c) Taylor-bicrystal model under uniaxial compression for ε̄eq=0.5. Axis perpendicular to the projection plane is the loading direction.
Grahic Jump Location
The calculated equivalent stress-strain curve, for (a) pure Sachs model, (b) Sachs-bicrystal model, and (c) Taylor-bicrystal model in uniaxial tension test
Grahic Jump Location
The predicted textures obtained from (a) pure Sachs model, (b) Sachs-bicrystal model, and (c) Taylor-bicrystal model for ε̄eq=0.6 in uniaxial tension test. Axis perpendicular to the projection plane is the loading direction.
Grahic Jump Location
The predicted σ̄eq vs. ε̄eq curves for constant strain-rate plane strain compression test (with D̄eq/γ̇o=1) obtained by (a) pure Sachs model, (b) Sachs-bicrystal model and (c) Taylor-bicrystal model
Grahic Jump Location
Texture evolution are shown by pole figures for ε̄eq=0.5 under plane strain compression test obtained by (a) pure Sachs model, (b) Sachs-bicrystal model, and (c) Taylor-bicrystal model. Axis perpendicular to the projection plane is the loading direction, and the flow direction is at the top of the pole figure.
Grahic Jump Location
Stress-strain curves for the pure Taylor and Sachs models in comparison with those of the Taylor-bicrystal and Sachs-bicrystal models for uniaxial compression. (a) Pure Taylor, (b) Taylor-bicrystal, (c) Sachs-bicrystal, (d) pure Sachs.
Grahic Jump Location
Stress-strain curves for the pure Taylor and Sachs models in comparison with those of the Taylor-bicrystal and Sachs-bicrystal models for uniaxial tension. (a) Pure Taylor, (b) Taylor-bicrystal, (c) Sachs-bicrystal, (d) pure Sachs.
Grahic Jump Location
Stress-strain curves for the pure Taylor and Sachs models in comparison with those of the Taylor-bicrystal and Sachs-bicrystal models for plane strain compression. (a) Pure Taylor, (b) Taylor-bicrystal, (c) Sachs-bicrystal, (d) pure Sachs.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In