Application of Lade's Criterion to Cam-Clay Model
Publication: Journal of Engineering Mechanics
Volume 126, Issue 1
Abstract
Lade's criterion is one of the best criteria for describing the shear yield and failure behavior of soils in 3D stresses, and the original Cam-clay model is the most popular and fundamental elastoplastic model for normally consolidated clays. In this paper, a transformed stress tensor is proposed for combining Lade's criterion and the Cam-clay model. The transformed stress is deduced from what makes the curved surface of Lade's criterion become a cone with the axis being the space diagonal, i.e., Lade's criterion becomes the extended Mises type criterion in the transformed principal stress space. The Cam-clay model revised by Lade's criterion is capable of describing the mechanical behavior of soils in general stresses. It is presented that the revised model can simulate well the drained and undrained behavior of soils, not only under triaxial compression conditions, but also under plane strain, true triaxial, and hollow cylinder conditions. The elastoplastic models for soils, in which only the first and second stress invariants are used, can be extended simply to the model, including the third stress invariant by adopting Lade's criterion.
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References
1.
Dakoulas, P., and Sun, Y. (1992). “Fine Ottawa sand: Experimental behavior and theoretical predictions.”J. Geotech. Engrg., ASCE, 118(12), 1906–1923.
2.
Haythornthwaite, R. M. (1983). “Piecewise linear yield criteria in invariant form.”J. Engrg. Mech., ASCE, 109(4), 1016–1022.
3.
Ishihara, K., and Okada, S. (1978). “Yielding of overconsolidated sand and liquefaction model under cyclic stresses.” Soils and Found., Tokyo, 18(1), 57–72.
4.
Krenk, S. (1996). “Family of invariant stress surfaces.”J. Engrg. Mech., ASCE, 122(3), 201–208.
5.
Lade, P. V. (1977). “Elasto-plastic stress-strain theory for cohesionless soil with curved yield surface.” Int. J. Solids and Struct., 13, 1019–1035.
6.
Lade, P. V. (1979). “Stress-strain theory for normally consolidated clay.” Proc., 3rd Int. Conf. Numer. Methods in Geomechanics, Aachen, ed., Balkema, 1352–1337.
7.
Lade, P. V. (1990). “Single-hardening model with application to NC clay.”J. Geotech. Engrg., ASCE, 116(3), 394–414.
8.
Lade, P. V., and Duncan, J. M. (1975). “Elastoplastic stress-strain theory for cohesionless soil.”J. Geotech. Engrg. Div., ASCE, 101(10), 1037–1053.
9.
Lade, P. V., and Kim, M. K. (1995). “Single hardening constitutive model for soil, rock and concrete.” Int. J. Solids and Struct., 32, 1963–1978.
10.
Lade, P. V., and Musante, H. M. (1978). “Three-dimensional behavior of remolded clay.”J. Geotech. Engrg. Div., ASCE, 104(2), 193–209.
11.
Matsuoka, H., and Nakai, T. (1974). “Stress-deformation and strength characteristics of soil under three difference principal stresses.” Proc., JSCE, 232, 59–70.
12.
Miura, N., Murata, H., and Yasufuku, N. (1984). “Stress strain characteristics of sand in a particle-crushing region.” Soils and Found., Tokyo, 24(1), 77–89.
13.
Nakai, T. (1989). “An isotropic hardening elastoplastic model for sand considering the stress path dependency in three-dimensional stresses.” Soils and Found., Tokyo, 29(1), 119–137.
14.
Nakai, T., Tsuzuki, K., Ishikawa, K., and Miyake, M. (1987). “Analysis of plane strain tests on normally consolidated clay by an elastoplastic constitutive model.” Proc., 22th Japan Nat. Conf. on Soil Mech. and Found. Engrg., JGS, Niigata, 1, 419–420 (in Japanese).
15.
Randolph, M. F. (1982). “Generalising the Cam-clay models.” Symp., on the Implementation of Critical State Soil Mech. in F.E. Computations, Cambridge University, Cambridge, England, U.K., 1–5.
16.
Roscoe, K. H., Schofield, A. N., and Thurairajah, A. (1963). “Yielding of clay in states wetter than critical.” Géotechnique, London, 13(3), 211–240.
17.
Schofield, A. N., and Wroth, C. P. (1968). Critical state soil mechanics. McGraw-Hill, London.
18.
Schreyer, H. L. (1989). “Smooth limit surfaces for metals, concrete, and geotechnical materials.”J. Engrg. Mech., ASCE, 115(9), 1960–1975.
19.
Wroth, C. P., and Houlsby, G. T. (1985). “Soil mechanics-property characterization and analysis procedures.” Proc., 11th Int. Conf. Soil Mech. and Found. Engrg., ISSMFE, San Francisco, Calif., 1, 1–55.
20.
Zienkiewicz, O. C., and Pande, G. N. ( 1977). “Some useful forms of isotropic yield surface for soil and rock mechanics.” Finite elements in geomechanics, G. Gudehus, ed., Wiley, London, 179–190.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 126 • Issue 1 • January 2000
Pages: 112 - 119
History
Received: Nov 5, 1998
Published online: Jan 1, 2000
Published in print: Jan 2000
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