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BRIEF NOTES

Elastic-Plastic Stress Distribution in a Plastically Anisotropic Rotating Disk

[+] Author and Article Information
N. Alexandrova

Department of Civil Engineering, University of Aveiro, 3810-193 Aveiro, Portugal e-mail: nalexandrova@civil.ua.pt

S. Alexandrov

Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Prospect Vernadskogo, 119526 Moscow, Russia e-mail: sergei_alexandrov@yahoo.com

J. Appl. Mech 71(3), 427-429 (Jun 22, 2004) (3 pages) doi:10.1115/1.1751183 History: Received January 03, 2003; Revised October 17, 2003; Online June 22, 2004
Copyright © 2004 by ASME
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References

Eraslan,  A. N., and Orcan,  Y., 2002, “Elastic-Plastic Deformation of a Rotating Solid Disk of Exponentially Varying Thickness,” Mech. Mater., 34, pp. 423–432.
Rees,  D. W. A., 1999, “Elastic-Plastic Stresses in Rotating Discs by von Mises and Tresca,” Z. Angew. Math. Mech., 79(4), pp. 281–288.
Ma,  G., Hao,  H., and Miyamoto,  Y., 2001, “Limit Angular Velocity of Rotating Disc With Unified Yield Criterion,” Int. J. Mech. Sci., 43, pp. 1137–1153.
Alexandrov,  S. E., and Chikanova,  N. N., 2000, “Elastic-Plastic Stress-Strain State of a Plate With a Pressed-in Inclusion in Thermal Field,” Mech. Solids, 35(4), pp. 125–132.
Alexandrov,  S., and Alexandrova,  N., 2001, “Thermal Effects on the Development of Plastic Zones in Thin Axisymmetric Plates,” J. Strain Anal., 36, pp. 169–176.
Reddy,  T. Y., and Srinath,  H., 1974, “Elastic Stresses in a Rotating Anisotropic Annular Disk of Variable Thickness and Variable Density,” Int. J. Mech. Sci., 16, pp. 85–89.
Zhou,  F., and Ogawa,  A., 2002, “Elastic Solutions for a Solid Rotating Disk With Cubic Anisotropy,” ASME J. Appl. Mech., 69, pp. 81–83.
Hill, R., 1950, Mathematical Theory of Plasticity, Oxford University Press, London.
Timoshenko, S. P., and Goodier, J. N., 1970, Theory of Elasticity, 3rd Ed., McGraw-Hill, New York.
Bouvier, S., Teodosiu, C., Haddadi, H., and Tabacaru, V., 2002, “Anisotropic Work-Hardening Behavior of Structural Steels and Aluminium Alloys at Large Strains,” Proc. Sixth European Mechanics of Materials Conference, S. Cescotto, ed., University of Liege-Belgium, EMAS, pp. 329–336.
Wu,  P. D., Jain,  M., Savoie,  J., MacEwen,  S. R., Tugcu,  P., and Neale,  K. W., 2003, “Evaluation of Anisotropic Yield Functions for Aluminum Sheets,” Int. J. Plasticity, 19, pp. 121–138.

Figures

Grahic Jump Location
Variation of the nondimensional quantity (ωp−ωe)/ωe with q
Grahic Jump Location
Variation of the nondimensional radius of elastic-plastic boundary, γ, with Ω at q=0.4
Grahic Jump Location
Radial stress distribution at Ω=1.85 and q=0.4
Grahic Jump Location
Circumferential stress distribution at Ω=1.85 and q=0.4

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