Strain Space Approach for Softening Plasticity
Publication: Journal of Engineering Mechanics
Volume 113, Issue 2
Abstract
A formulation of the theory of plasticity in the strain space, which is a special case of the theory developed by Naghdi and coworkers, is presented here. A method to develop hardening functions to treat softening materials is discussed and illustrated. The applicability of the method is demonstrated by applying it in the analysis of the behavior of a geological material on axial compression and plane strain.
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References
1.
Casey, J., and Naghdi, P. M. (1981). “On the characterization of strain‐hardening in plasticity.” J. Appl. Mech., ASME, 48(2), 285–295.
2.
Casey, J., and Naghdi, P. M. (1983a). “On the nonequivalence of the stress space and strain space formulations of plasticity theory.” J. Appl. Mech., ASME, 50(2), 350–354.
3.
Casey, J., and Naghdi, P. M. (1983b). “A remark on the definition of hardening, softening and perfectly plastic behavior.” Acta Mech. 48(1–2), 91–94.
4.
Dafalias, Y. F. (1977). “II'iushin's postulate and resulting thermodynamic conditions on elasto‐plastic coupling.” Int. J. Solids Struct., 13(3), 239–251.
5.
Drucker, D. C. (1950). “Some implications of work hardening and ideal plasticity.” Q. Appl. Math., 7(4), 411–418.
6.
Il'iushin, A. A. (1961). “On the postulate of plasticity.” PMM, 25(3), 503–507(746–752 in English translation edition).
7.
Lade, P. V. (1977). “Elasto‐plastic stress—strain theory for cohesionless soil with curved yield surfaces.” Int. J. Solids Struct., 13(11), 1019–1035.
8.
Naghdi, P. M., and Trapp, J. A. (1975). “The significance of formulating plasticity theory with reference to loading surfaces in strain space.” Int. J. Eng. Sci., 13(9/10), 785–797.
9.
Yang, B. L., Dafalias, Y. F., and Herrmann, L. R. (1985). “A bounding surface plasticity model for concrete.” J. Engrg. Mech., ASCE, 111(3), 359–380.
10.
Yoder, P. J., and Iwan, W. D. (1981). “On the formulation of strain‐space plasticity with multiple loading surfaces.” J. Appl. Mech., ASME, 48(4), 773–778.
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Published In
Journal of Engineering Mechanics
Volume 113 • Issue 2 • February 1987
Pages: 210 - 221
Copyright
Copyright © 1987 ASCE.
History
Published online: Feb 1, 1987
Published in print: Feb 1987
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