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TECHNICAL PAPERS

Analysis of Material Nonlinear Problems Using Pseudo-Elastic Finite Element Method

[+] Author and Article Information
V. Desikan, Raju Sethuraman

Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai—600036, India

J. Pressure Vessel Technol 122(4), 457-461 (Jun 27, 2000) (5 pages) doi:10.1115/1.1308294 History: Received January 09, 1999; Revised June 27, 2000
Copyright © 2000 by ASME
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References

Neuber,  H., 1961, “Theory of Stress Concentration for Shear Strained Prismatical Bodies With Arbitrary Nonlinear Stress-Strain Law,” ASME J. Appl. Mech., 28, pp. 554–550.
Marcal,  P. V., and King,  I. P., 1967, “Elastic Plastic Analysis of Two-Dimensional Stress Systems by the F.E.M.,” Int. J. Mech. Sci., 9, pp. 143–155.
Yamada,  Y., Yoshimura,  N., and Sakurai,  T., 1968, “Plastic Stress-Strain Matrix and Its Application for the Solution of Elastic-Plastic Problems by the Finite Element Method,” Int. J. Mech. Sci., 10, pp. 343–354.
Owen, D. R. J., and Hinton, E., 1980, Finite Elements in Plasticity: Theory and Practice, Pineridge Press Limited.
Seshadri,  R., 1991, “The Generalized Local Stress-Strain (GLOSS) Analysis—Theory and Applications,” ASME J. Pressure Vessel Technol., 113, pp. 219–227.
Mackenzie,  D., and Boyle,  J. T., 1993, “A Method of Estimating Limit Loads by Iterative Elastic Analysis—I: Simple Examples,” Int. J. Pressure Vessels Piping, 53, p. 77.
Shi,  J., Mackenzie,  D., and Boyle,  J. T., 1993, “A Method of Estimating Limit Loads by Iterative Elastic Analysis—III: Torispherical Heads Under Internal Pressure,” Int. J. Pressure Vessels Piping, 53, p. 121.
Jahed,  H., Sethuraman,  R., and Dubey,  R. N., 1997, “A Variable Material Property Approach for Solving Elasto-Plastic Problems,” Int. J. Pressure Vessels Piping, 71, pp. 285–291.
Babu,  S., and Iyer,  P. K., 1998, “Inelastic Analysis of Components Using a Modulus Adjustment Scheme,” ASME J. Pressure Vessel Technol.,120, pp. 1–5.
Malvern, L. E., 1969, Introduction to the Mechanics of a Conitnuous Medium, Prentice-Hall, Engelwood Cliffs, NJ.
Zeinkiewicz, O. C., and Taylor, R. L., 1989, The Finite Element Method, Vol. 1, McGraw-Hill International Editions.
NISA II, 1998, Version 7.0 User’s Manual, Engineering Mechanics Research Corporation, Michigan.

Figures

Grahic Jump Location
Converged state of stress for material points
Grahic Jump Location
Projection method of Eeff determination
Grahic Jump Location
Arc length method of Eeff determination
Grahic Jump Location
Neuber’s method of Eeff determination
Grahic Jump Location
Comparison of stress variation along the thickness direction for cylinder with internal pressure
Grahic Jump Location
Stress variation for Ramberg-Osgood model under plane strain condition
Grahic Jump Location
Convergence path for a particular pseudo-elastic point
Grahic Jump Location
Stress variation for V-notch problem
Grahic Jump Location
Stress variation for rotating disk

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