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RESEARCH PAPERS

A New Approach for Single Crystal Materials Analysis: Theory and Application to Initial Yielding

[+] Author and Article Information
G. Bande, J. A. Nemes

Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, Quebec, Canada H3A 2K6e-mail: james.nemes@mcgill.ca

J. Eng. Mater. Technol 127(1), 119-129 (Feb 22, 2005) (11 pages) doi:10.1115/1.1839193 History: Received October 28, 2003; Revised August 16, 2004; Online February 22, 2005
Copyright © 2005 by ASME
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References

Swanson, G. A., Linask, I., and Nisley, D. M., 1986, “Life Prediction and Constitutive Models for Engine Hot Section Anisotropic Materials Program,” Annual Status Report; Contract NAS3-2393.
Dame, L. T., 1985, “Anisotropic Constitutive Model for Nickel Base Single Crystal Alloys: Development and Finite Element Implementation,” Ph.D. Dissertation, University of Cincinnati.
Sheh, Y. M., 1988, “Anisotropic Constitutive Modeling for Nickel-Base Single Crystal Superalloys,” Ph.D. Dissertation, University of Cincinnati.
Gabb,  T. P., Gayda,  J., and Miner,  R. V., 1986, “Orientation and Temperature Dependence of Some Mechanical Properties of the S.C Nickel Base Superalloy Rene N4: Part II. Low Cycle Fatigue Behavior,” Metall. Trans. A, 17, pp. 497–505.
Marchionni,  M., Goldschmidt,  D., and Maldini,  M., 1993, “Evaluation of High-Temperature Behavior of CMSX4+Yttrium Single-Crystal Nickel-Base Superalloy,” J. Mater. Eng. Perform., 2(4), pp. 497–503.
Miner,  R. V., Voigt,  R. C., Gayda,  J., and Gabb,  T. P., 1986a, “Orientation and Temperature Dependence of Some Mechanical Properties of the Single Crystal Nickel Base Superalloy Rene N4: Part I. Tensile Behavior,” Metall. Trans. A, 17, pp. 491–496.
Miner,  R. V., Gabb,  T. P., Gayda,  J., and Hemker,  K. J., 1986b, “Orientation and Temperature Dependence of Some Mechanical Properties of the Single Crystal Nickel Base Superalloy Rene N4: Part III. Tensile Compressive Anisotropy,” Metall. Mater. Trans. A, 17, pp. 507–512.
Bande, G., 2001, “A Combined Approach for Analysis of Single Crystal Nickel Base Superalloys,” Ph.D. Dissertation, University of McGill, Montreal.
Lekhnitskii, S. G., 1963, “Theory of Elasticity of an Anisotropic Body,” San Francisco Holden-Day.
Li,  S. X., Ellison,  E. G., and Smith,  D. J., 1994, “The Influence of Orientation on the Elastic and Low Cycle Fatigue Properties of Several Single Crystal Nickel Base Superalloys,” J. Strain Anal., 29(2), pp. 147–153.
Lee,  D., and Zaverl,  F., 1979, “A Description of History Dependent Plastic Flow Behavior of Anisotropic Metals,” J. Eng. Mater. Technol., 101, pp. 59–67.
Hill,  R., 1966, “Generalized Constitutive Relations for Incremental Deformation of Metals by Multi Slip,” J. Mech. Phys. Solids, 14, pp. 99–105.
Eleiche, A. M., 1991, “Inelastic Shear Deformation of Stainless Steels Under Quasi-Static and Impact Sequential Reverse Torsion,” Contract Number 2892-85-12 ED ISP ET, Amendments No. 1&2.
Nouailhas,  D., 1990, “Lois de Comportement en Viscoplasticité Cyclique Anisotrope: Application aux cas des Matériaux à Symétrie Cubique,” La recherche aerospaciale,3, pp. 11–28.
Shah, D., and Duhl, D., 1984, “The Effect of Orientation, Temperature and Gamma Prime Size on the Yield Strength of a Single Crystal Nickel Base Superalloy,” Proceedings of the fifth international symposium on superalloys, ASM, Metals Park, Ohio.
Takeuchi,  S., and Kuramoto,  E., 1973, “Temperature and Orientation Dependence of the Yield Stress in Ni3Ca Single Crystals,” Acta Metall., 21, pp. 415–425.
Lall,  C., Chin,  S., and Pope,  D. P., 1979, “The Orientation and Temperature Dependence of the Yield Stress of Ni3 (Al,Nb) Single Crystals,” Metall. Trans. A, 10A, pp. 1323–1332.
Jordan,  E. H., and Walker,  K. P., 1992, “A Viscoplastic Model for Single Crystals,” J. Eng. Mater. Technol., 114, pp. 19–26.

Figures

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Structure of an fcc crystal: (a) Octahedral slip plane and (b) cube slip plane
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Relationship between (a) global and crystallographic coordinate system, (b) crystallographic coordinate system and Euler angles
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Local slip system, referred to the crystallographic coordinate system
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Orientation dependence of elastic constants for Rene N4 VF317 at 760°C. Experimental data are from Sheh 3.  
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Comparison of the predicted yield strength based on Lee and Zaverl’s theory with experimental data for PWA 1480 at 593°C along the [001]—[011] boundary. Data are from Shah and Duhl 15.
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Orientation dependence of the structural coefficients S1j,S2j, and S3j along the [001]—[011] orientation boundary
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Orientation dependence of the slip factor, Sf (tension) in the octahedral slip system along the [001]—[011] orientation boundary
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Comparison of the predicted yield strength based on the CA theory with experimental data for PWA 1480 at 593°C along the [001]—[011] boundary. Data are from Shah and Duhl 15.
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Comparison of the yield strength for three predicted theories with experimental data for PWA 1480 at 593°C along the [001]—[011] boundary. Data (1) and (2) are, respectively, from Refs. 18 and 15.
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Representation of the predicted yield contour in the stereographic triangle using the CA, for the SC nickel base superalloy PWA 1480 at 593°C
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Comparison of tension–compression asymmetry between the CA theory and experimental data for PWA 1480 at 593°C along the [001]—[011] boundary. Data are from Shah and Duhl 15.
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Tension–compression predominance regions in the stereographic triangle for PWA 1480 at 593°C

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