Investigation of Strain Hardening in NiAl Single Crystals Using Three-Dimensional FEA Models

[+] Author and Article Information
Chulho Yang, Ashok V. Kumar

Department of Mechanical Engineering, University of Florida, Gainesville, FL 32611

J. Eng. Mater. Technol 123(1), 20-27 (Dec 18, 1999) (8 pages) doi:10.1115/1.1286158 History: Received July 07, 1999; Revised December 18, 1999
Copyright © 2001 by ASME
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Kumar,  A. V., Yang,  C., and Seelam,  V., 1998, “Investigation of Localized Deformation in NiAl Single Crystals,” ASME J. Eng. Mater. Technol., 120, No. 3, pp. 206–211.
Ebrahimi,  F., and Shrivastava,  S., 1997, “Crack Initiation and Propagation in Brittle-to-Ductile Transition Regime of NiAl Single Crystal,” Mater. Sci. Eng., A, 239–240, pp. 386–392.
Lahrman,  F., Field,  R. D., and Darolia,  R., 1991, “High Temperature Ordered Intermetallic Alloys IV,” MRS Proc., 213, p. 603.
Miracle,  D. B., 1993, “The Physical and Mechanical Properties of NiAl,” Acta Metall., 41, No. 3, pp. 649–684.
Darolia,  R., 1991, “NiAl Alloys for High-Temperature Structural Applications,” J. Met., 43, No. 3, pp. 44–49.
Asaro,  R. J., 1983, “Micromechanics of Crystals and Polycrystals,” J. Adv. Appl. Mech. 23, pp. 1–115; Hutchinson, J. W., and Wu, T. Y., eds., Academic, New York.
Pierce,  D., Asaro,  R. J., and Needleman,  A., 1982, “An Analysis of Non-Uniform and Localized Deformation in Ductile Single Crystals,” Acta Metall., 30, pp. 1087–1119.
Pierce,  D., Asaro,  R. J., and Needleman,  A., 1983, “Material Rate Dependence and Localized Deformation in Crystalline Solids,” Acta Metall., 31, No. 12, pp. 1951–1976.
Deve,  H., Harren,  S., McCullough,  C., and Asaro,  R. J., 1988, “Micro and Macroscopic Aspects of Shear Band Formation in Internally Nitried Single Crystal of Fe-Ti-Mn Alloys,” Acta Metall., 36, No. 2, pp. 341–365.
Levit, V. I., Bul, I. A., Hu, J., Winton, J. S., and Kaufman, M. J., 1996, “Development of NiAl Single Crystals and Their Mechanical Properties,” Proc. of International Symposium on Nickel and Iron Aluminides: Processing, Properties and Applications, Materials Week, 1996, Cincinnati, Ohio, pp. 117–122.
Levit, V. I., Bul, I. A., Hu, J., Winton, J. S., and Kaufman, M. J., 1997, “Challenges in the Development and Application of β-NiAl as a Structural Material,” Processing and Design Issues in High Temperature Materials, Proceedings of the Engineering Foundation Conference 1997, Minerals, Metals & Materials Soc (TMS), Warrendale, PA, pp. 185–194.
Crimp, M. A., Tonn, S. C., and Zhang, Y., 1993, “Dislocation Core Structures in B2 NiAl Alloys,” Mater. Sci. Eng., Series 170, pp. 95–102.
Ebrahimi,  F., Gomez,  A., and Hicks,  T. G., 1996, “Nature of Slip During Indentation on {100} Surface of NiAl,” Scr. Mater., 34, No. 2, pp. 337–342.
Wenner,  M. L., 1993, “A Generalized Forward Gradient Procedure for Rate Sensitive Constitutive Equations,” Int. J. Numer. Methods Eng., 36, pp. 985–995.
Pan,  J., and Rice,  J. R., 1983, “Rate Sensitivity of Plastic Flow and Implications for Yield-Surface Vertices,” Int. J. Solids Struct., 19, pp. 973–987.
Hill,  R., 1966, “Generalized Constitutive Relations for Incremental Deformation of Metal Crystals by Multislip,” J. Mech. Phys. Solids, 14, pp. 95–102.
Taylor,  G. I., 1934, “The Mechanism of Plastic Deformation of Crystals,” Proc. R. Soc. London, Ser. A, 145, p. 362.
Hutchinson,  J. W., 1970, “Elastic-Plastic Behavior of Polycrystalline Metals and Composites,” Proc. R. Soc. London, Ser. A, 319, pp. 247–272.
Kocks,  U. F., 1964, “Latent Hardening and Secondary Slip in Aluminum and Silver,” Trans. Metall. Soc. AIME, 230, p. 1160.
Basinski, S. J., and Basinski, Z. S., 1979, “Plastic deformation and work hardening,” Dislocations in Solids, p. 262, F. R. Nabarro, ed., North Holland, Amsterdam.
Franciosi,  P., Berveiller,  M., and Zaoui,  A., 1980, “Latent Hardening in Copper and Aluminum Single Crystals,” Acta Metall., 28, pp. 273–283.
Franciosi,  P., and Zaoui,  A., 1982, “Multislip in FCC Crystals a Theoretical Approach Compared with Experimental Data,” Acta Metall., 30, pp. 1627–1637.
Franciosi,  P., and Zaoui,  A., 1982, “Multislip Tests on Copper Crystals: A Junctions Hardening Effect,” Acta. Metall., 30, pp. 2141–2151.
Franciosi,  P., 1985, “Concepts of Latent Hardening and Strain Hardening in Metallic Single Crystals,” Acta Metall., 33, No. 9, pp. 1601–1612.
Weng,  G. J., 1987, “Anisotropic Hardening in Single Crystals and the Plasticity of Polycrystals,” Int. J. Plast., 3, pp. 315–339.
Koiter,  W., 1953, “Stress-Strain Relations, Uniqueness and Variational Theorems for Elastic-Plastic Materials with a Singular Yield Surface,” Q. Appl. Math., 11, p. 350.
Bassani,  J. L., and Wu,  T., 1991, “Latent Hardening in Single Crystals II. Analytical Characterization and Predictions,” Proc. R. Soc. London, Ser. A, 435, pp. 21–41.
Bassani,  J. L., 1994, “Plastic Flow of Crystals,” Adv. Appl. Mech., 30, p. 192.
Weng,  G. J., 1979, “Kinematic Hardening Rule in Single Crystals,” Int. J. Solids Struct., 15, No. 11, pp. 861–870.
Wu,  T., Bassani,  J. L., and Laird,  C., 1991, “Latent Hardening in Single Crystals I. Theory and Experiments,” Proc. R. Soc. London, Ser. A, 435, pp. 1–19.
Levit, V. I., Winton, J. S., Yu, G., and Kaufman, M. J., 1997, “Mechanisms of high tensile elongation in NiAl single crystals at intermediate temperatures,” Proceedings of the ReX ’96, the Third International Conference on Recrystallization and Related Phenomena, McNelley.
Levit, V. I., and Kaufman, M. J., 1997, “Tensile behavior of β-NiAl: intrinsic vs. extrinsic properties,” Structural Intermetallics, Minerals, Metals & Materials Society, pp. 683–690.
Winton, J. S., 1995, “The Effect of Orientation, Temperature, and Strain Rate on the Mechanical Properties of NiAl Single Crystals,” MS thesis, Univ. of Florida.
Hibbitt, Karlsson, & Sorensen, Inc., 1995, “ABAQUS, User’s Manual,” Pawtucket, RI 02860.


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Experimental load versus elongation (loading in [110] direction)
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Active slips systems of NiAl for loading along [110] orientation
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(a) Resolved shear strain versus time (case I). (b) Flow stress versus time (case I).
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(a) Deformed mesh, (b) strain in Y-dir., (c) stress in Y-dir. (case I: 20 percent nominal strain)
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(a) Resolved shear strain versus time (case II (a)). (b) Flow stress versus time (case II (a)).
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(a) Resolved shear strain versus time (case II (b)). (b) Critical resolved shear stress versus time (case II (b)).
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(a) Deformed mesh, (b) strain in Y-dir., (c) stress in Y-dir. (case II (b) at 40 percent nominal strain)
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Resolved shear strain versus time (case III (a))
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Resolved shear strain versus time (case III (b))
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Load versus displacement



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