TECHNICAL PAPERS
Oct 1, 2000

Finite Strain, Anisotropic Modified Cam Clay Model with Plastic Spin. I: Theory

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Publication: Journal of Engineering Mechanics
Volume 126, Issue 10

Abstract

There are several approaches that can take into account the micromechanical and anisotropic behavior of soils. One is Dafalias's plastic spin approach. It is a convenient approach that utilizes an internal variable called “the plastic spin tensor.” The plastic spin is a function of the embedded stress (back stress) that causes the induced anisotropy and, consequently, the isotropic soil models cannot account for it. This paper presents a formulation of the plastic spin and related constitutive equations based on Dafalias's “anisotropic modified Cam clay model” with an updated Lagrangian reference frame. The required parameters are the typical consolidation and stress-strain parameters. The only additional parameters used in this work are the back-stress parameters c and x. These features are relatively simple and easy to use compared to other models.

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References

1.
Anandarajah, A. ( 1995). “Physico-chemical interactions between clay particles.” Proc., 5th Int. Symp. on Numer. Models in Geomechanics, G. N. Pande and S. Pietruszczak, eds., Balkema, Rotterdam, The Netherlands, 89–94.
2.
Anandarajah, A., and Kuganenthira, N. ( 1994). “Some aspects of fabric anisotropy of soils.” Géotechnique, London, 44(2), 1–13.
3.
Anandarajah, A., and Kuganenthira, N. ( 1995). “Some aspects of fabric anisotropy of soils.” Géotechnique, London, 45(1), 69–81.
4.
Anandarajah, A., Kuganenthira, N., and Zhao, D. (1996). “Variation of fabric anisotropy of kaolinite in triaxial loading.”J. Geotech. Engrg., ASCE, 122(8), 633–640.
5.
Armstrong, P. J., and Frederick, C. O. ( 1966). “A mathematical representation of the multiaxial Bauschinger effect.” Central Electricity Generation Board Rep. RD/B/N/731, Res. and Devel. Dept., Berkeley Nuclear Laboratories, Berkeley, Calif.
6.
Bathe, K. J. ( 1996). Finite element procedures, Prentice-Hall, Englewood Cliffs, N.J., 485–641.
7.
Burland, J. B. ( 1965). “The yielding and dilation of clay (correspondence).” Géotechnique, London, 15, 211–214.
8.
Dafalias, Y. F. ( 1983). “Corotational rates for kinematic hardening at large plastic deformations.” J. Appl. Mech., 561–565.
9.
Dafalias, Y. F. ( 1985). “A missing link in the macroscopic constitutive formulation of large plastic deformation.” Proc., Int. Symp. on Current Trends and Results in Plasticity, Plasticity Today, A. Sawczuk and G. Bianchi, eds., Elsevier, London, 135–151.
10.
Dafalias, Y. F. ( 1987). “An anisotropic critical state clay plasticity model.” Constitutive laws for engineering materials: Theory and applications, C. S. Desai et al., eds., 513–521.
11.
Dafalias, Y. F. ( 1998). “Plastic spin: Necessity or redundancy?” Int. J. Plasticity, Elsevier, Amsterdam, 14(9), 909–931.
12.
Dobry, R., Ng, T. T., Petrakis, E., and Seridi, A. (1991). “General model for contact law between two rough spheres.”J. Engrg. Mech., ASCE, 117(6), 1365–1381.
13.
Lee, E. H., Mallett, R. L., and Wertheimer, T. B. ( 1983). “Stress analysis for anisotropic hardening in finite-deformation plasticity.” J. Appl. Mech., 50, 554–560.
14.
Masad, E., Muhunthan, B., and Chameau, J. L. ( 1998). “Stress-strain model for clays with anisotropic void ratio distribution.” Int. J. Numer. and Analytical Methods in Geomech., 22(5), 393–416.
15.
Paulun, J. E., and Pecherski, R. B. ( 1985). “Study of corotational rates for kinematic hardening in finite deformation plasticity.” Archive for Rational Mechanics and Analysis, Springer-Verlag, Berlin, 37(6), 661–677.
16.
Paulun, J. E., and Pecherski, R. B. ( 1987). “On the application of the plastic spin concept for the description of anisotropic hardening in finite deformation plasticity.” Int. J. Plasticity, Elsevier, Amsterdam, 3, 303–314.
17.
Prat, P. C., and Bazant, Z. P. (1990). “Microplane model for triaxial deformation of saturated cohesive soils.”J. Geotech. Engrg., 117(6), 891–912.
18.
Voyiadjis, G. Z., Abu-Farsakh, M. Y., and Tumay, M. T. ( 1998). “Soil deformations around the piezocone using the coupled theory ofmixtures.” Proc., Biot Conf. on Poromechanics, Poromechanics, A Tribute to Maurice A. Biot, Louvain-Neuve, Belgium, Balkema, Rotterdam, The Netherlands, 531–536.
19.
Voyiadjis, G. Z., and Kattan, P. I. ( 1989). “Eulerian constitutive model for finite deformation plasticity with anisotropic hardening.” Mech. of Mat., Elsevier, Amsterdam, 7(4), 279–293.
20.
Voyiadjis, G. Z., and Kattan, P. I. ( 1990). “A generalized Eulerian twosurface cyclic plasticity model for finite strains.” Acta Mechanica, 81, 143–162.
21.
Voyiadjis, G. Z., and Kattan, P. I. ( 1991). “Phenomenological evolution equations for the backstress and spin tensors.” Acta Mechanica, 88, 91–111.
22.
Zbib, H. M. ( 1993). “On the mechanics of large inelastic deformations: Kinematics and constitutive modeling.” Acta Mechanica, 96, 119– 138.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 126Issue 10October 2000
Pages: 1012 - 1019

History

Received: Aug 5, 1999
Published online: Oct 1, 2000
Published in print: Oct 2000

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Fellow, ASCE
Boyd Prof., Dept. of Civ. and Envir. Engrg., Louisiana State Univ., Baton Rouge, LA 70803-6405. E-mail:[email protected]
Res. Assoc., Dept. of Civ. and Envir. Engrg., Louisiana State Univ., Baton Rouge, LA. E-mail:[email protected]

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