Coupling plasticity and energy-conserving elasticity models for clays

Journal of Geotechnical Engineering

Volumn 123, Issue 10, 1997, Pages 948-957

  Borja, Ronaldo I ^a   Tamagnini, Claudio ^a   Amorosi, Angelo ^b  

^a Stanford University   (United States)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONSOLIDATION; ELASTIC MODULI; ELASTOPLASTICITY; FUNCTIONS; MATHEMATICAL MODELS; SOIL MECHANICS;

HYPERELASTICITY; SOIL MODELS; STORED ENERGY FUNCTIONS;

CLAY;

ELASTICITY; HYPERELASTIC MODEL; OVERCONSOLIDATED CLAY; PLASTICITY; SOIL MECHANICS;

EID: 0031257404     PISSN: 10900241     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)1090-0241(1997)123:10(948)     Document Type: Article

References (43)

1. Alawaji, H., Runesson, K., and Sture, S. (1992). "Implicit integration in soil plasticity under mixed control for drained and undrained response." Int. J. Numer. Anal. Methods in Geomech., 16, 737-756.
2. Amorosi, A. (1996). "Il comportamento meccanico di una argilla naturale consistante," PhD thesis, Università Degli Studi di Roma "La Sapienza," Rome, Italy.
3. Atkinson, J. H. (1981). Foundations and slopes. An Introduction to applications of critical state soil mechanics. John Wiley & Sons, Inc., New York, N.Y.
4. Borja, R. I. (1991). "Cam-clay plasticity, part II: Implicit integration of constitutive equation based on a nonlinear elastic stress predictor." Comp. Methods Appl. Mech. Engrg., 88, 225-240.
5. Borja, R. I. (1992). "Free Boundary, fluid flow, and seepage forces in excavations." J. Geotech. Engrg., ASCE, 118(1), 125-146.
6. Borja, R. I., and Alarcón, E. (1995). "A mathematical framework for finite strain elasto-plastic consolidation, part 1: Balance laws, variational formulation, and linearization." Comp. Methods Appl. Mech. Engrg., 122, 145-171.
7. Borja, R. I., and Lee, S. R. (1990). "Cam-clay plasticity, part I: Implicit integration of elasto-plastic constitutive relations." Comp. Methods Appl. Mech. Engrg., 78, 49-72.
8. Borja, R. I., and Tamagnini, C. (1995). "Finite deformation theory for a Cam-clay model." Numerical models in geomechanics, G. N. Pande and S. Pietruszczak, eds., NUMOG V, A. A. Balkema, Rotterdam, The Netherlands, 3-8.
9. Boyce, H. R. (1980). "A non-linear model for the elastic behaviour or granular materials under repeated loading." Proc., Int. Symp. on Soils under Cyclic and Transient Loading, 1, 285-294.
10. Britto, A. M., and Gunn, M. J. (1987). Critical state soil mechanics via finite elements. John Wiley & Sons, Inc., New York, N.Y.
11. Butterfield, R. (1979). "A natural compression law for soils." Géotechnique, London, England, 29, 469-480.
12. Dafalias, Y. F. (1986). "Bounding surface plasticity, I: Mathematical foundation and hypoplasticity." J. Engrg. Mech., ASCE, 112(9), 966-987.
13. Dafalias, Y. F., and Herrmann, L. R. (1982). "Bounding surface formulation of soil plasticity." Soil mechanics - transient and cyclic loads, G. N. Pande and O. C. Zienkiewicz, eds., John Wiley & Sons, Inc., 253-282.
14. Duncan, J. M. (1996). "State of the art: Limit equilibrium and finite-element analysis of slopes." J. Geotech. Engrg., ASCE, 122(7), 577-596.
15. Gens, A. (1982). "Stress-strain and strength characteristics of a low plasticity clay," PhD thesis, Univ. of London, London, England.
16. Gens, A., and Potts, D. M. (1988). "Critical state models in computational geomechanics." Engrg. Computations, 5, 178-197.
17. Hashash, Y. M. A., and Whittle, A. J. (1992). "Integration of the modified Cam-clay model in non-linear finite element analysis." Comp. and Geotech., 14, 59-83.
18. Hashiguchi, K. (1995). "On the linear relations of V-ln p and ln v-ln p for isotropic consolidation of soils." Int. J. Numer. Anal. Methods Geomech., 19, 367-376.
19. Hashiguchi, K., and Ueno, M. (1977). "Elasto-plastic constitutive laws of granular materials." Constitutive equations of soils, Proc., Ninth Int. Conf. Soil Mech. Found. Engrg., Specialty Session 9, S. Murayama and A. N. Schofield, eds., 73-82.
20. Hill, R. (1967). The mathematical theory of plasticity. Oxford University Press, London, England.
21. Houlsby, G. T. (1985). "The use of a variable shear modulus in elasticplastic models for clays." Comp. and Geotech., 1, 3-13.
22. Hueckel, T., Tutumluer, E., and Pellegrini, R. (1992). "A note on non-linear elasticity of isotropic overconsolidated clays." Int. J. Numer. Anal. Methods Geomech., 16(8), 603-618.
23. Hughes, T. J. R. (1984). "Numerical implementation of constitutive models: Rate independent deviatoric plasticity." Theoretical foundations for large-scale computations of non-linear material behaviour, S. Nemat-Nasser, R. Asaro, and G. Hegemier, eds., Martinus Nijhoff Publishers, Dordrecht, The Netherlands, 29-57.
24. Jaky, J. (1944). "The coefficient of earth pressure at rest." Magyar Mérnök és Epitész Egglet Közlönye, Budapest, Hungary, 355-358.
25. Jardine, R. J., Potts, D. M., Fourie, A. B., and Burland, J. B. (1986). "Studies of the influence of non-linear stress-strain characteristics in soil-structure interaction." Géotechnique, London, England, 36, 377-396.
26. Kachanov, L. M. (1971). Foundations of the theory of plasticity. North-Holland Publishing Co., Amsterdam, The Netherlands.
27. Lade, P. V., and Nelson, R. B. (1987). "Modelling the elastic behaviour of granular materials." Int. J. Numer. Anal. Methods Geomech., 11, 521-542.
28. Loret, B. (1985). "On the choice of elastic parameters for sand." Int. J. Numer. Anal. Methods Geomech., 9(3), 285-292.
29. 0-OCR relationships in soils." J. Geotech. Engrg. Div., ASCE, 108(6), 851-872.
30. Molenkamp, F. (1988). "A simple model for isotropic non-linear elasticity of frictional materials." Int. J. Numer. Anal. Methods Geomech., 12(5), 467-475.
31. Mroz, Z., and Norris, V. A. (1982). "Elastoplastic and viscoplastic constitutive models for soils with application to cyclic loading." Soil mechanics - transient and cyclic loads, G. N. Pande and O. C. Zienkiewicz, eds., 173-217.
32. Ortiz, M., and Simo, J. C. (1986). "An analysis of a new class of integration algorithms for elastoplastic constitutive relations." Int. J. Numer. Meth. Engrg., 23, 353-366.
33. Rampello, S., Viggiani, G., and Silvestri, F. (1994). "The dependence of small strain stiffness on stress state and history for fine grained soils: The example of Vallericca clay." Pre-failure deformation of geomaterials, Shibuya, Mitachi and Miura, eds., A. A. Balkema, Rotterdam, The Netherlands, 272-278.
34. 0 on stress state and history." Pre-failure deformation of geomaterials, Shibuya, Mitachi and Miura, eds., A. A. Balkema, Rotterdam, The Netherlands, 1155-1160.
35. Roscoe, K. H., and Burland, J. H. (1968). "On the generalized stress-strain behavior of 'wet' clay." Engineering plasticity, J. Heyman and F. A. Leckie, eds., Cambridge University Press, London, England, 535-609.
36. Schofield, A., and Wroth, P. (1968). Critical state soil mechanics, McGraw-Hill Inc., New York, N.Y.
37. Simo, J. C. (1992). "Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory." Comp. Methods Appl. Mech. Engrg., 99, 61-112.
38. Simo, J. C., and Meschke, G. (1993). "A new class of algorithms for classical plasticity extended to finite strains. Application to geomaterials." Computational Mech., 11, 253-278.
39. Simpson, B. (1973). "Finite elements applied to problems of plane strain deformation in soil." PhD thesis, Univ. of Cambridge, Cambridge, England.
40. Vermeer, P. A. (1978). "A double hardening model for sand." Géotechnique, 28(4), 413-433.
41. Wroth, C. P. (1972). "Some aspects of the elastic behaviour of overconsolidated clay." Proc., Roscoe Memorial Symp.: Stress-Strain Behaviour of Soils, R. H. G. Parry, ed., G. T. Foulis and Co. Ltd., Oxfordshire, 347-361.
42. Wroth, C. P., and Houlsby, G. T. (1985). "Soil mechanics - property characterization and analysis procedure." Proc., Eleventh Int. Conf. Soil Mech. Found. Engrg., A. A. Balkema, Rotterdam, The Netherlands, 1, 1-55.
43. Zytynski, M., Randolph, M. K., Nova, R., and Wroth, C. P. (1978). "On modeling the unloading-reloading behaviour of soils." Int. J. Numer. Anal. Methods Geomech., 2, 87-93.