Computational Aspects of Strain‐Space Plasticity
Publication: Journal of Engineering Mechanics
Volume 109, Issue 1
Abstract
A computational algorithm based upon a strain‐space formulation of plasticity is tested for accuracy in the case of perfect plasticity. A new strategy for updating the position of the relaxation surface is presented and compared with other strategies employed in stress‐space. The algorithm is coupled with a finite element program and used to investigate the response of a vertically loaded foundation resting on an elastic half‐space. The results are compared to those obtained using an accepted stress‐space algorithm.
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References
1.
Drucker, D. C., “Some Implications of Work Hardening and Ideal Plasticity,” Quarterly of Applied Mathematics, Vol. 7, No. 4, Jan., 1950, pp. 411–418.
2.
Hughes, T. J. R., and Prévost, J. H., “DIRT: A Finite Element Program for the Static Analysis of Nonlinear Anisotropic Elastoplastic Hysteretic Continua Subjected to Complicated Loading Paths,” California Institute of Technology, May, 1977.
3.
Krieg, R. D., and Krieg, D. B., “Accuracies of Numerical Solution Methods for the Elastic‐Perfectly Plastic Model,” Journal of Pressure Vessel Technology, American Society of Mechanical Engineers, Vol. 99, No. 4, Nov., 1977, pp. 510–515.
4.
Lambe, T. W., and Whitman, R. V., Soil Mechanics, John Wiley and Sons, Inc., New York, N.Y., 1969, pp. 195–196.
5.
Maier, G., “Piecewiselinearization of Yield Criteria and Its Role in Structural Plasticity,” International Symposium on Discrete Methods in Engineering C.I.S.E., Milan, Italy, Sept., 1974.
6.
Muskhelishvili, N. I., Some Basic Problems of the Mathematical Theory of Elasticity, P. Noordhoff, Ltd., Groningen, The Netherlands, 1963.
7.
Naghdi, P. M., “Some Constitutive Restrictions in Plasticity,” Constitutive Equations in Viscoplasticity: Computational and Engineering Aspects, AMD, American Society of Mechanical Engineers, Vol. 20, 1976, pp. 79–93.
8.
Naghdi, P. M., and Trapp, J. A., “The Significance of Formulating Plasticity Theory with Reference to Loading Surfaces in Strain Space,” International Journal of Engineering Science, Vol. 13, No. 9/10, Sept./Oct., 1975, pp. 785–797.
9.
Prandtl, L., “Über die Härte Plasticher Koerper,” Goettinger Nachr., Math. Phys. Kl., 1920, pp. 74–85.
10.
Prévost, J. H., and Hughes, T. J. R., “Mathematical Modeling of Cyclic Soil Behavior,” ASCE Earthquake Engineering and Soil Dynamics Conference, Pasadena, Calif., June, 1978.
11.
Yoder, P. J., A Strain Space Plasticity Theory and Numerical Implementation, thesis, presented to California Institute of Technology, at Pasadena, Calif., in 1981, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
12.
Yoder, P. J., and Iwan, W. D., “On the Formulation of Strain‐Space Plasticity with Multiple Loading Surfaces,” Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics, Vol. 48, No. 4, Dec., 1981, pp. 773–778.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 109 • Issue 1 • February 1983
Pages: 231 - 243
Copyright
Copyright © 1983 ASCE.
History
Published online: Feb 1, 1983
Published in print: Feb 1983
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