A new approach used for single crystal (SC) materials analysis is described. Its principle is based on the extension of predictive models for isotropic material behavior to anisotropic materials such as SC nickel base superalloys. A viscoplastic model describes the material in the macroscopic level while a factor, based on the crystallographic approach, accounts for the global state of micro slip on the crystal. The combination of both elements defines the so-called “combined approach” (CA). This paper presents the development of the theory and its applications to the determination of initial yielding and tension–compression asymmetry.
Issue Section:
Research Papers
Keywords:
nickel alloys,
superalloys,
anisotropic media,
viscoplasticity,
micromechanics,
yield strength,
compressive strength,
slip,
crystal structure
Topics:
Anisotropy,
Crystals,
Deformation,
Nickel,
Stress,
Superalloys,
Tension,
Compression,
Temperature,
Yield strength
1.
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.
2.
Dame, L. T., 1985, “Anisotropic Constitutive Model for Nickel Base Single Crystal Alloys: Development and Finite Element Implementation,” Ph.D. Dissertation, University of Cincinnati.
3.
Sheh, Y. M., 1988, “Anisotropic Constitutive Modeling for Nickel-Base Single Crystal Superalloys,” Ph.D. Dissertation, University of Cincinnati.
4.
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
.5.
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
.6.
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
.7.
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
.8.
Bande, G., 2001, “A Combined Approach for Analysis of Single Crystal Nickel Base Superalloys,” Ph.D. Dissertation, University of McGill, Montreal.
9.
Lekhnitskii, S. G., 1963, “Theory of Elasticity of an Anisotropic Body,” San Francisco Holden-Day.
10.
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
.11.
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
.12.
Hill
, R.
, 1966
, “Generalized Constitutive Relations for Incremental Deformation of Metals by Multi Slip
,” J. Mech. Phys. Solids
, 14
, pp. 99
–105
.13.
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.
14.
Nouailhas
, D.
, 1990
, “Lois de Comportement en Viscoplasticite´ Cyclique Anisotrope: Application aux cas des Mate´riaux a` Syme´trie Cubique
,” La recherche aerospaciale
, 3
, pp. 11
–28
.15.
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.
16.
Takeuchi
, S.
, and Kuramoto
, E.
, 1973
, “Temperature and Orientation Dependence of the Yield Stress in Ni3Ca Single Crystals
,” Acta Metall.
, 21
, pp. 415
–425
.17.
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
.18.
Jordan
, E. H.
, and Walker
, K. P.
, 1992
, “A Viscoplastic Model for Single Crystals
,” J. Eng. Mater. Technol.
, 114
, pp. 19
–26
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