Distributions of Stretch and Rotation in Polycrystalline OFHC Cu

[+] Author and Article Information
J. D. Clayton, B. M. Schroeter, D. L. McDowell

G.W.W. School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332

S. Graham

Sandia National Laboratories, Livermore, CA

J. Eng. Mater. Technol 124(3), 302-313 (Jun 10, 2002) (12 pages) doi:10.1115/1.1479354 History: Received September 03, 2001; Revised February 27, 2002; Online June 10, 2002
Copyright © 2002 by ASME
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Kuhlmann-Wilsdorf,  D., and Hansen,  N., 1991, “Geometrically Necessary, Incidental, and Subgrain Boundaries,” Scr. Metall. Mater., 25, pp. 1557–1562.
Bay,  B., Hansen,  N., Hughes,  D. A., and Kuhlmann-Wilsdorf,  D., 1992, “Evolution of FCC Deformation Structures in Polyslip,” Acta Metall. Mater., 40, pp. 205–219.
Hughes,  D. A., Liu,  Q., Chrzan,  D. C., and Hansen,  N., 1997, “Scaling of Microstructural Parameters: Misorientations of Deformation Induced Boundaries,” Acta Mater., 45, pp. 105–112.
Kuhlmann-Wilsdorf,  D., 1999, “The Theory of Dislocation-Based Crystal Plasticity,” Philos. Mag., 79, pp. 955–1008.
Wilmanski, K., 1991, “Large Elastoplastic Deformation of Two-Phase Alloys-Structural Continuous Model,” Recent Developments in Micromechanics, D. R. Axelrad and W. Muschik, eds., Springer-Verlag, Toronto, pp. 84–96.
Driver,  J. H., 1994, “Deformation Texture Formation from Single Crystals,” Mater. Sci. Forum, 157–162, pp. 585–596.
Leffers,  T., 1994, “Lattice Rotations During Plastic Deformation with Grain Subdivision,” Mater. Sci. Forum, 157–162, pp. 1815–1820.
Chang,  Y. W., and Asaro,  R. J., 1981, “An Experimental Study of Shear Localization in Aluminum-Copper Single Crystals,” Acta Metall., 29, pp. 241–257.
Asaro,  R. J., 1985, “Material Modeling and Failure Modes in Metal Plasticity,” Mech. Mater., 4, pp. 343–373.
Harren,  S. V., Dève,  H. E., and Asaro,  R. J., 1988, “Shear Band Formation in Plane Strain Compression,” Acta Metall., 36(9), pp. 2435–2480.
Makarov,  P. V., 1992, “Microdynamic Theory of Plasticity and Failure of Structurally Inhomogeneous Media,” Russ. Phys. J., 35(4), pp. 334–346.
Mescheryakov,  Y. I., and Atroshenko,  S. A., 1992, “Multiscale Rotations in Dynamically Deformed Solids,” Int. J. Solids Struct., 29, pp. 2761–2778.
Makarov,  P. V., Smolin,  I. Y., and Prokopinski,  I. P., 1998, “Localized Plastic Strain in Polycrystalline Materials with Hole and Notches,” Theor. Appl. Fract. Mech., 29, pp. 11–20.
Panin,  V. E., 1998, “Overview on Mesomechanics of Plastic Deformation and Fracture of Solids,” Theor. Appl. Fract. Mech., 30, pp. 1–11.
Panin,  V. E., Deryugin,  Y. Y., Derevyagina,  L. S., Lotkov,  A. I., and Suvorov,  B. I., 1998, “Plastic Deformation and Fracture of Polycrystalline Ni-Ti with Stress Concentrators of Different Scales,” Theor. Appl. Fract. Mech., 30, pp. 19–26.
Cherepanov,  O. I., Smolin,  I. Y., Stefanov,  Y. P., and Makarov,  P. V., 1999, “Investigation of Influence of Internal Structure of Heterogeneous Materials on Plastic Flow and Fracture,” Comput. Mater. Sci., 16, pp. 25–31.
Zelin,  M. G., and Mukherjee,  A. K., 1993, “Microstructural Aspects of Non-homogeneity of Grain-boundary Sliding,” J. Mater. Sci., 28, pp. 6767–6773.
Zelin,  M. G., and Mukherjee,  A. K., 1994, “Measurements of Spacing of Sliding Grain Boundaries,” J. Mater. Sci., 29, pp. 3607–3611.
Zelin,  M. G., Krasilnikov,  N. A., Valiev,  R. Z., Grabski,  H. S., Yang,  H. S., and Mukherjee,  A. K., 1994, “On the Microstructural Aspects of the Nonhomogeneity of Superplastic Deformation at the Level of Grain Groups,” Acta Metall. Mater., 42, pp. 119–126.
Morral,  J. E., and Ashby,  M. F., 1974, “Dislocated Cellular Structures,” Acta Metall., 22, pp. 567–575.
Watanabe,  O., Zbib,  H. M., and Takenouchi,  E., 1988, “Crystal Plasticity: Micro-shear Banding in Polycrystals Using Voronoi Tessellation,” J. Colour Soc., 14, pp. 771–788.
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, pp. 191–232.
Havlicek,  F., Tokuda,  M., Hino,  S., and Kratochvil,  J., 1992, “Finite Element Method Analysis of Micro-Macro Transition in Polycrystalline Plasticity,” J. Colour Soc., 8, pp. 477–499.
Harder,  J., 1999, “A Crystallographic Model for the Study of Local Deformation Processes in Polycrystals,” Int. J. Plast., 15, pp. 605–624.
Diepolder,  W., Mannl,  V., and Mannl,  V., 1991, “The Cosserat Continuum: A Model for Grain Rotations in Metals?,” Int. J. Plast., 7, pp. 313–328.
Acharya,  A., and Bassani,  J. L., 2000, “Lattice Incompatibility and a Gradient Theory of Crystal Plasticity,” J. Mech. Phys. Solids, 48, pp. 1565–1595.
Mughrabi,  H., 1983, “Dislocation Wall and Cell Structures and Long-Range Internal Stresses in Deformed Metal Crystals,” Acta Metall., 31(9), pp. 1367–1379.
Berveiller,  M., Muller,  D., and Kratochvil,  J., 1993, “Nonlocal Versus Local Elastoplastic Behavior of Heterogeneous Materials,” Int. J. Plast. 9, pp. 633–652.
Butler,  G. C., and McDowell,  D. L., 1998, “Polycrystal Constraint and Grain Subdivision,” Int. J. Plast., 14(8), pp. 703–717.
Horstemeyer,  M. F., and McDowell,  D. L., 1998, “Modeling Effects of Dislocation Substructure in Polycrystal Elastoviscoplasticity,” Mech. Mater., 27, pp. 145–163.
McGinty,  R. D., and McDowell,  D. L., 1999, “Multi-scale Polycrystal Plasticity,” ASME J. Eng. Mater. Technol., 121, pp. 203–209.
Hayashi, I., Yamazaki, K., and Yamada, N., 1975, “Study on Inhomogeneous Deformation in the Grains of Polycrystalline α-iron—Measurements of Plastic Strain in the Grains by the Grid Line Technique,” Society of Materials. Science, Japan, The 18th Japan Congress on Materials Research-Metallic Materials, pp. 8–14.
Tong,  W., 1991, “Detection of Plastic Deformation Patterns in a Binary Aluminum Alloy,” Exp. Mech., 37, pp. 452–459.
Hughes,  D., and Hansen,  N., 1991, “Microstructural Evolution in Nickel During Rolling and Torsion,” Mater. Sci. Technol., 7, pp. 544–553.
Vendroux,  G., and Knauss,  W., 1998, “Submicron Deformation Field Measurements: Part 1. Developing a Digital Scanning Tunneling Microscope,” Exp. Mech., 38, pp. 18–23.
Dally, J., and Riley, W., 1978, Experimental Stress Analysis, McGraw-Hill, New York.
Dürr,  R., 1991, “Displacement Field Analysis: Calculation of Distortion Measures From Displacement Maps,” Ultramicroscopy, 38, pp. 135–141.
Parks,  V., 1982, “Strain Measurement Using Grids,” Opt. Eng., 21, pp. 633–639.
Takeda,  N., 1998, “Evaluation of Microscopic Deformation in CFRP Laminates with Delamination by Micro-grid Methods,” J. Compos. Mater., 32, pp. 83–100.
Sevenhuijsen,  P., Bremand,  F., 1993, “Current Trends in Obtaining Deformation Data from Grids,” Exp. Tech., 22, No. 3, pp. 22–26.
Farmer,  L., and Fowle,  R., 1979, “An Experimental Procedure for Studying the Flow in Plane Strain Extrusion,” Int. J. Mech. Sci., 21(10), pp. 599–608.
Goldrein,  H., Palmer,  S., and Huntley,  J., 1995, “Automated Fine Grid Technique for Measurement of Large-Strain Deformation Maps,” Opt. Lasers Eng., 23, pp. 305–318.
Wolak,  J., and Parks,  V., 1974, “Evaluation of Large Strains in Industrial Applications,” J. Test. Eval., 2, pp. 533–540.
Durelli, A., and Parks, V., 1970, Moiré Analysis of Strain, Prentice-Hall, New Jersey.
Peters,  W., and Ranson,  W., 1982, “Digital Imaging Techniques in Experimental Stress Analysis,” Opt. Eng., 21, pp. 427–431.
Graham, S., 1995, “Mechanical Behavior of FCC Polycrystals Under Complex Loading at Finite Strain,” M.S. thesis, GWW School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA.
Christodoulou,  N., and Jonas,  J., 1985, “Flow Localization in OFHC Cu and 99.9% Al,” Acta Metall., 33, pp. 719–730.
Sowerby,  R., Duncan,  J., and Chu,  E., 1986, “The Modeling of Sheet Metal Stampings,” Int. J. Mech. Sci., 28, pp. 415–430.
Boyce, D., 1999, LASI6 v6.1.6.0, LASI Integrated Circuit CAD for Windows 95, 98, NT4, 2000 and ME.
Ohki, H., Nakazawa, H., Kosaka, Y., Sato, H., Asari, T., and Isobe, M., 1987, “Fabrication of Fine and Smooth Curved Features by E-beam Lithography System,” Microelectronic Engineering, Proceedings of the International Conference on Microlithography, Vol. 6, No. 1–4, pp. 207–212.
Asaro,  R. J., 1983, “Crystal Plasticity,” ASME J. Appl. Mech., 50, pp. 921–934.
Bammann,  D. J., and Johnson,  G. C., 1987, “On the Kinematics of Finite-deformation Plasticity,” Acta Mech., 70, pp. 1–13.
Horstemeyer,  M. F., McDowell,  D. L., and McGinty,  R. D., 1999, “Design of Experiments for Constitutive Model Selection: Application to Polycrystal Elastoviscoplasticity,” Microgravity Sci. Technol., 7, pp. 253–273.
ABAQUS, 1998, version 5.8–14, Hibbitt, Karlsson, & Sorensen, Inc., Pawtucket, RI.
P. J. Armstrong, and C. O. Frederick, 1966, CEGB Report, RD/B/N, p. 731.
Lacy,  T. E., McDowell,  D. L., and Talreja,  R., 1999, “Gradient Concepts for Evolution of Damage,” Mech. Mater., 31, pp. 831–860.
Nagtegaal,  J. C., Parks,  D. M., and Rice,  J. R., 1974, “On Numerically Accurate Finite Element Solutions in the Fully Plastic Range,” Comput. Methods Appl. Mech. Eng., 4, pp. 153–177.
Humphreys,  F. J., 2001, “Grain and Subgrain Characterization by Electron Backscatter Diffraction,” J. Mater. Sci., 36, pp. 3833–3854.
Davis, J. R., ed., 1998, ASM Metals Handbook, Desk Edition, Second Edition, ASM International, Materials Park, OH.
Barbe,  F., Forest,  S., and Cailletaud,  G., 2001, “Intergranular and Intragranular Behavior of Polycrystalline Aggregates. Part 2: Results,” Int. J. Plast., 17, pp. 537–563.
Cailletaud, G., 2001, personal communication.
Sarma,  G., Radhakrishnan,  B., and Zacharia,  T., 1999, “Modelling the Deformation of Face Centered Cubic Crystals to Study the Effect of Slip on {110} Planes,” Modell. Simul. Mater. Sci. Eng., 7, pp. 1025–1043.
Bhattacharyya,  A., El-Danaf,  E., Kalidindi,  S. R., and Doherty,  R. D., 2001, “Evolution of Grain-scale Microstructure During Large Strain Simple Compression of Polycrystalline Aluminum with Quasi-columnar Grains: OIM Measurements and Numerical Simulations,” Int. J. Plast., 17, pp. 861–883.
Ziegenbein,  A., Neuhäuser,  H., Thesing,  J., Ritter,  R., Wittich,  H., Steck,  E., Springer,  F., and Schwarzer,  R. A., 1998, “Investigations on Local Plasticity of CuAl Polycrystals by in situ Observations and FEM Simulations,” Mater. Sci. Forum, 273–275, pp. 363–368.
Anand,  L., and Kalidindi,  S. R., 1994, “The Process of Shear Band Formation in Plane Strain Compression of FCC Metals: Effects of Crystallographic Texture,” Mech. Mater., 17, pp. 223–243.
Ashmawi,  W. M., and Zikry,  M. A., 2000, “Effects of Grain Boundaries and Dislocation Density Evolution on Large Strain Deformation Modes in FCC Crystalline Metals,” J. Comput.-Aided Mater. Des., 7, pp. 55–62.
Shen,  Y.-L., Li,  W., Sulsky,  D. L., and Schreyer,  H. L., 2000, “Localization of Plastic Deformation Along Grain Boundaries in a Hardening Material,” Int. J. Mech. Sci., 42, pp. 2167–2189.


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Schematic of grid pattern for photomask
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Uniaxial compression experiment: geometry and effective strain measure
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Configurations associated with decomposition of the deformation gradient
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Generation of 2D FE geometry from digital image of specimen surface
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3D geometry and out-of-plane boundary conditions for compression simulations
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In-plane boundary conditions and corresponding effective strain measures for compression simulations
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{111} pole figures of initial grain (lattice) orientations for (a) experiment, (b) simulation with random (R) misorientations, and (c) simulation with limited (L) misorientations
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Lattice misorientation profiles: experimental and simulated
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Experimental surface deformation patterns at an applied strain level of Eeff=1.0 for (a) deformed experimental grid pattern—optical image (scale in μm) and (b) deformed experimental grid pattern—reconstruction
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Deformed FE meshes at an applied strain level of Eeff=1.0 for (a) random misorientations (R) and (b) limited misorientations (L)
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Simulated grain structure within deformed 2D observation window, at an applied strain level of Eeff=1.0 for (a) random misorientations (R) and (b) limited misorientations (L)
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Maximum in-plane principal stretch contours at an applied strain level of Eeff=1.0 for (a) experiment, (b) simulation with random (R) misorientations, and (c) simulation with limited (L) misorientations
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In-plane rotation angle contours at an applied strain level of Eeff=1.0 for (a) experiment, (b) simulation with random (R) misorientations, and (c) simulation with limited (L) misorientations
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Out-of-plane surface displacement contours at an applied strain level of Eeff=1.0 for (a) simulation with random (R) misorientations, and (b) simulation with limited (L) misorientations
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Grain boundary and triple point elements, for ζ=0.073LG
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Maximum stretch Λmax, averaged over Window, GB, and TP regions
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Rotation angle Θeff, averaged over Window, GB, and TP regions
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Effective stress Σeff, averaged over Window, GB, and TP regions
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Average number of activated slip systems during deformation history, in Window, GB, and TP regions



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