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TECHNICAL PAPERS

An Investigation of Yield Potentials In Superplastic Deformation

[+] Author and Article Information
Marwan K. Khraisheh

Department of Mechanical Engineering, King Fahd University of Petroleum and Minerals (KFUPM), Dhahran 31261, Saudi Arabia e-mail: mkhraish@kfupm.edu.sa

J. Eng. Mater. Technol 122(1), 93-97 (May 14, 1999) (5 pages) doi:10.1115/1.482771 History: Received November 15, 1998; Revised May 14, 1999
Copyright © 2000 by ASME
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References

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Smith, M. T., 1998, “Research Toward the Increased Use of Superplastic Forming in Lightweight Structures,” Proceedings of the Symposium on Superplasticity and Superplastic Forming, 35th Annual Meeting of the Society of Engineering Science, M. Khaleel, ed., Pacific Northwest National Laboratory, PNNL-SA-30406.
Holt,  D. L., 1970, “Analysis of the Bulging of Superplastic Sheet by Lateral Pressure,” Int. J. Mech. Sci., 12, pp. 491–497.
Hamilton, C. H., Zbib, H. M., Johnson, C. H., and Richter, S. K., 1991, “Dynamic Grain Coarsening and its Effects on Flow Localization in Superplastic Deformation,” Proceedings of the Second International SAMPE Symposium, Chipa. Japan, pp. 272–279.
Dutta,  A., and Mukherjee,  A. K., 1992, “Superplastic Forming: An Analytical Approach,” Mater. Sci. Eng., A157, pp. 9–13.
Carrino,  L., and Guiliano,  G., 1997, “Modeling of Superplastic Blow Forming.” Int. J. Mech. Sci., 39, No. 2, pp. 193–199.
Khraisheh,  M. K., Bayoumi,  A. E., Hamilton,  C. H., Zbib,  H. M., and Zhang,  K., 1995, “Experimental Observations of Induced Anisotropy During the Torsion of Superplastic Pb-Sa Eutectic Alloy,” Scr. Metal. Mater., 32, No. 7, pp. 955–959.
Khraisheh,  M. K., Zbib,  H. M., Hamilton,  C. H., and Bayoumi,  A. E., 1997, “Constitutive Modeling of Superplastic Deformation, Part I: Theory and Experiments,” Int. J. Plast., 13, No. 1–2, pp. 143–164.
Mayo,  M. J., and Nix,  W. D., 1989, “Direct Observation of Superplastic Flow Mechanisms in Torsion,” Acta Metal., 37, No. 4, pp. 1121–1143.
Hill, R., 1950, The Mathematical Theory of Plasticity, Oxford University Press, London.
Barlat,  F., 1987, “Crystallographic Texture. Anisotropic Yield Surfaces and Forming Limits of Sheet Metals,” Mater. Sci. Eng., 91, pp. 55–72.
Barlat, F., and Fricke, W. G., Jr., 1988, “Prediction of Yield Surfaces. Forming Limits and Necking Directions for Textured FCC Sheets,” Proceedings of the Eighth International Conference on Textures of Materials, J. S. Kallend and G. Gottstein, eds., The Metallurgical Society, pp. 1043–1050.
Barlat,  F., and Lian,  L. 1989, “Plastic Behavior and Strechability of Sheet Metals. Part I: A Yield Function for Orthotropic Sheets under Plane Stress Conditions,” Int. J. Plast., 5, 51–66.
Dafalias,  Y. F., 1990, “The Plastic Spin in Viscoplasticity,” Int. J. Solid Struct., 26, pp. 149–163.
Khraisheh, M. K. and Zbib, H. M., 1997, “Constitutive Modeling of Anisotropic Superplastic Deformation,” Physics and Mechanics of Finite Plasticity and Viscoplastic Deformation, A. S. Khan, ed., NEAT Press, Fulton MD, pp. 45–46.
Khraisheh,  M. K., and Zbib,  H. M., 1999, “Optimum Forming Loading Paths for Pb-Sn Superplastic Sheet Materials,” ASME J. Eng. Mater. Technol., 121, No. 3, pp. 341–345.

Figures

Grahic Jump Location
The axial stress component in a combined tension/torsion test. Effective strain rate 6.5×10−4 s−1,k=0.45.
Grahic Jump Location
The shear stress component in a combined tension/torsion test. Effective strain rate 6.5×10−4 s−1,k=0.45.
Grahic Jump Location
The yield potential for the Pb-Sn superplastic alloy. Effective strain rate 3×10−4 s−1. Experimental data versus von Mises and the anisotropic functions.
Grahic Jump Location
The yield potential for the Pb-Sn superplastic alloy. Effective strain rate 6.5×10−4 s−1. Experimental data versus von Mises and the anisotropic functions.
Grahic Jump Location
The yield potential for the Pb-Sn superplastic alloy. Effective strain rate 1×10−3 s−1. Experimental data versus von Mises and the anisotropic functions.
Grahic Jump Location
Schematic illustration of the axis of anisotropy and the angle ϕ
Grahic Jump Location
The effect of the angle ϕ on the anisotropic yield surface for tension-torsion case (equation 11). c1=1,c2=5, and c3=4. The dashed line represents von Mises surface (c1=c2=c3=0).
Grahic Jump Location
The effect of c1 on the anisotropic yield surface for tension-torsion case (Eq. (11)). ϕ=30°,c2=5, and c3=4. The dashed line represents von Mises surface (c1=c2=c3=0).
Grahic Jump Location
The effect of c2 on the anisotropic yield surface for tension-torsion case (Eq. (11)). ϕ=30°,c1=1, and c3=4. The dashed line represents von Mises surface (c1=c2=c3=0).
Grahic Jump Location
The effect of c3 on the anisotropic yield surface for tension-torsion case (Eq. (11)). ϕ=30°,c1=1, and c2=5. The dashed line represents von Mises surface (c1=c2=c3=0).

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