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TECHNICAL PAPERS

A General Time Dependent Constitutive Model: Part II— Application to a Titanium Alloy

[+] Author and Article Information
S. M. Arnold

National Aeronautics and Space Administration, Lewis Research Center, Cleveland, OH 44135

A. F. Saleeb

Department Civil Engineering, University of Akron, Akron, OH 44325

M. G. Castelli

NYMA Inc., Engineering Services Division, Brook Park, OH 44142

J. Eng. Mater. Technol 123(1), 65-73 (Apr 28, 2000) (9 pages) doi:10.1115/1.1288366 History: Received March 26, 1999; Revised April 28, 2000
Copyright © 2001 by ASME
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References

Saleeb,  A. F., and Arnold,  S. M., 2001, “A General Time Dependent Constitutive Model: Part I—Theoretical Developments,” ASME J. Eng. Mater. Technol., 123, pp. 51–64.
Arnold,  S. M., and Saleeb,  A. F., 1991, “On the Thermodynamic Framework of Generalized Coupled Thermoelastic Viscoplastic—Damage Modeling,” Int. J. Plast., 10, No. 3, 1994, pp. 263–278, or NASA TM-105349.
Arnold, S. M., Saleeb, A. F., and Castelli, M. G., 1994, “A Fully Associative, Nonlinear Kinematic, Unified Viscoplastic Model for Titanium Based Matrices,” Life Prediction Methodology for Titanium Matrix Composites, ASTM STP 1253, Johnson, W. S. Larsen, J. M., and Cox, B. N., eds., 1996, or NASA TM-106609.
Arnold, S. M., Saleeb, A. F., and Castelli, M. G., 1994, “A Fully Associative, Nonisothermal, Nonlinear Kinematic, Unified Viscoplastic Model for Titanium Based Matrices,” Thermomechanical Fatigue Behavior of Materials: Second Volume, ASTM STP 1263, M. J. Verrilli and M. G. Castelli, Philadelphia, 1995, or NASA TM-106926.
Castelli, M. G., Arnold, S. M., and Saleeb, A. F., 1995, “Specialized Deformation Tests for the Characterization of a Viscoplastic Model: Application to a Titanium Alloy,” NASA TM-106268.
Christensen, R., 1971, Theory of Viscoelasticity, Academic Press, New York.
Saleeb,  A. F., Gendy,  A. S., Wilt,  T. E., and Trowbridge,  D. A., 1998, “COMPARE—Constitutive Material Parameter Estimation, User’s Guide—Version 1.0,” Technical Report, Dept. of Civil Engineering, University of Akron, Akron, Ohio.
Saleeb,  A. F., and Wilt,  T. E., 1993, “Analysis of the Anisotropic Viscoplastic-Damage Response of Composite Laminates-Continuum Basis and Computational Algorithms,” Int. J. Numer. Methods Eng., 36, pp. 1629–1660.

Figures

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Rate dependent stiffness
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Viscoelastic creep at 3.45 MPa and 650°C, (creep strain versus time)
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Viscoelastic creep and stress relaxation at 650°C, (stress versus strain), σ0=6.895 MPa and E0=6.895 GPa
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Viscoelastic creep and stress relaxation at 565°C, (stress versus strain), σ0=6.895 MPa and E0=6.895 GPa
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Kappa as determined from proportional limit and viscoelastic substraction, σ0=6.895 MPa
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Poisson’s ratio as a function of temperature
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Nonisothermal viscoelastic creep correlations with experiments
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Nonisothermal viscoelastic relaxation correlations with experiments
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Pediction of creep and relaxation at 565°C
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Effect of loading rate on the creep response at 565°C, σ0=6.895 MPa
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Effect of loading rate on the creep response at 482°C, σ0=6.895 MPa
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Single mechanism creep and relaxation COMPARE correlations with experiments, (a, c) σ0=6.895 MPa. (a) stress-strain space, (b) strain-time space, (c) stress-time space.
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Six mechanism creep and relaxation COMPARE correlations with experiments, (a, c) σ0=6.895 MPa. (a) Stress-strain space, (b) strain-time space, (c) stress-time space.
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Viscoelastoplastic creep response correlation with experiments

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