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TECHNICAL PAPERS

On Thick-Walled Cylinder Under Internal Pressure

[+] Author and Article Information
W. Zhao, R. Seshadri

Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NF, Canada, A1B 3X5

R. N. Dubey

Department of Mechanical Engineering, University of Waterloo, Waterloo, ON, Canada, N2L 3G1

J. Pressure Vessel Technol 125(3), 267-273 (Aug 01, 2003) (7 pages) doi:10.1115/1.1593082 History: Received March 13, 2003; Revised May 06, 2003; Online August 01, 2003
Copyright © 2003 by ASME
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References

Hill, R., 1950, The Mathematical Theory of Plasticity, Clarendon Press, Oxford.
Mendelson, A., 1968, Plasticity: Theory and Application, The Macmillan Company, New York.
Durban,  D., 1979, “Large Strain Solution for Pressurized Elasto/Plastic Tubes,” ASME J. Appl. Mech., 64, pp. 228–230.
Chen, P. C. T., 1980, “A Finite Difference Approach to Axisymmetric Plane-Strain Problems Beyond the Elastic Limit,” Transaction of the 25th Conference of Army Mathematician, pp. 661–674.
Chakrabarty, J., 1987, Theory of Plasticity, McGraw-Hill, New York.
Durban,  D., and Kubi,  M., 1992, “A General Solution for the Pressurized Elastoplastic Tubes,” ASME J. Appl. Mech., 59, pp. 20–26.
Jahed,  H., and Dubey,  R. N., 1997, “An Axisymmetric Method of Elastic-Plastic Analysis Capable of Predicting Residual Stress Field,” ASME J. Pressure Vessel Technol., 119, pp. 264–273.
Parker,  A. P., 2001, “Autofrettage of Open End Tubes—Pressures, Stresses, Strains and Code Comparisons,” ASME J. Pressure Vessel Technol., 123, pp. 271–281.
Dubey, R. N., Seshadri, R., and Bedi, S., 2000, “Analysis of Thick Elastic-Plastic Cylinders,” Plasticity Conference in Whistler, B. C., Canada.
Zhao, W., Dubey, R. N., and Seshadri, R., 2001, “A Simplified Method for Estimating Residual Stresses Fields in Elastic-Plastic Thick-Walled Cylinder Subjected to High Internal Pressure,” Proceedings of 18th Canadian Congress of Applied Mechanics, St. John’s, NF, Canada, 2 , pp. 325–326.
Char, B. W., 1991, Maple V Language Reference Manual, Springer-Verlag, Berlin.
Chen, W. F., and Han, D. J., 1988, Plasticity for Structural Engineers, Springer-Verlag, Berlin.
Fryer, D. M., and Harvey, J. F., 1998, High Pressure Vessels, Chapman & Hall, London.
Jahed, H., 1997, “A Variable Material Property Approach for Elastic-Plastic Analysis of Proportional and Nonproportional Loading,” Ph.D. thesis, University of Waterloo, Waterloo, Canada.
Kofler, M., 1997, MAPLE an Introduction and Reference, Addison-Wesley, Reading, MA.
Lubliner, J, 1990, Plasticity Theory, Macmillan Publishing Company, New York.
Mraz, G. J., and Kendall, D. P., 1998, Criteria of the ASME Boiler and Pressure Vessel Code, Section VIII, Division 3, Alternative Rules for Construction of High Pressure Vessels.

Figures

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Cylinder geometry and load conditions: a two domains model; b finite domains model
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Bilinear stress strain behavior
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Three domains piecewise linearization of stress strain law
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Generalization of stress strain law for finite domains
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Internal pressure versus elastic-plastic interface
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Hoop, radial, and axial stress (elastic-plastic tubes with both ends closed)
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Residual stress distributions of different overstrain percentage (closed end)
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Equivalent residual stress distribution of different overstrain percentage (closed end)
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Limit load versus wall thickness ratio comparison with lower bound method

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