On implicit integration of bounding surface plasticity models

Computers and Structures

Volumn 63, Issue 3, 1997, Pages 385-395

  Manzari, M T ^a   Nour, M A ^a  

^a GEORGE WASHINGTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EQUATIONS OF MOTION; INTEGRATION; MATHEMATICAL MODELS; STRESS ANALYSIS;

BOUNDING SURFACE PLASTICITY; CAM CLAY MODEL;

PLASTICITY;

EID: 0031145147     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(96)00373-2     Document Type: Article

References (22)

1. Mroz, Z., On the description of anisotropic hardening. Journal of Mechanics and Physics of Solids 15, 63-175 (1967).
2. Dafalias, Y. F. and Popov, E. P., A model of nonlinearly hardening materials for cyclic loading. Acta Mechanica 21, 173-192 (1975).
3. Krieg, R. D., A practical two surface plasticity theory. Journal of Applied Mechanics. Transactions of the ASME 42, 641-646 (1975).
4. Anadarajah, A. and Dafalias, Y. F., Bounding surface plasticity, III: application to anisotropic cohesive clays. Journal of Engineering Mechanics, ASCE 112(2), 1292-1318 (1986).
5. Bardet, J. P., A bounding surface model for sands. Journal of Engineering Mechanics Division, Proceedings of the ASCE 112(11), 1198-1217 (1986).
6. Crouch, R. S., Wolf, J. P., Dafalias, Y. F., Unified Critical State Bounding Surface Plasticity Model for Soil. Journal of the Engineering Mechanics Division, ASCE 120(11), 2251-2270 (1994).
7. Dafalias, Y. F. and Herrmann, L. R., A bounding surface soil plasticity model. International Symposium on Soils under Cyclic and Transient Loading, Swansea, Vol. 1, pp. 335-345 (1980).
8. Dafalias, Y. F. and Herrmann, L. R., Bounding surface formulation of soil plasticity. In Soil Mechanics - Cyclic and Transient Loads, Chap. 10, eds G. N. Pande and O. C. Zienkiewicz. Wiley, New York, pp. 253-282 (1982).
9. Dafalias, Y. F. and Herrmann, L. R., Bounding surface plasticity II: application to isotropic cohesive soils. Journal of the Engineering Mechanics Division, ASCE 112(12), 1263-1291 (1986).
10. Wang, Z. L., Dafalias, Y. F. and Shen, C. K., Bounding surface hypo-plasticity model for sand. Journal of Engineering Mechanics Division, Proceedings of the ASCE 116(5), 983-1001 (1990).
11. Dafalias, Y. F., Bounding surface plasticity I: mathematical foundation and hypo-plasticity. Journal of the Engineering Mechanics Division, ASCE, 112(9) 966-987 (1986).
12. Hashiguchi, K. and Ueno, M., Elasto-plastic constitutive laws for granular materials, preprints of speciality session 9 - constitutive equations for soils. Ninth International Conference on Soil Mechanics and Foundation Engineering, Tokyo, Japan, pp. 73-82 (1977).
13. Hashiguchi, K., Constitutive equations of granular media with anisotropic hardening. Proceedings of Third International Conference on Numerical Methods in Geomechanics, Aachen, p. 345 (1979).
14. Ortiz, M. and Simo, J. C., An analysis of a new class of integration algorithms for elastoplastic constitutive relations. International Journal of Numerical Methods in Engineering 23, 353-366 (1986).
15. Simo, J. C. and Taylor, R. L. Consistent tangent operators for rate-independent elastoplasticity. Computational Methods of Applied Mechanical Engineering 48, 101-118 (1985).
16. Simo, J. C. and Meschke, G., A new class of algorithms for classical plasticity extended to finite strains. Application to geomaterials. Computational Mechanics 11, 253-278 (1993).
17. Hashash, Y. M. A. and Whittle, A. J., Integration of the modified Cam-clay model in nonlinear finite element analysis. Computers and Geotechnics 14, 59-83 (1992).
18. Ortiz, M. and Popov, E. P., Accuracy and stability of integration algorithms for elastoplastic constitutive relations. International Journal of Numerical Methods in Engineering 21, 1561-1576 (1985).
19. Borja, R. I. and Lee, S. R., Cam-clay plasticity. Part II: implicit integration of elasto-plastic constitutive relations based on a nonlinear elastic predictor. Computational Methods of Applied Mechanical Engineering 20, 225-240 (1990).
20. Borja, R. I., Cam-clay plasticity. Part I: implicit integration of elasto-plastic constitutive relations. Computational Methods of Applied Mechanical Engineering 78, 49-72 (1991).
21. Roscoe, K. H., Schofield, A. N., and Thurairajah, A., Yielding of clays in states wetter than critical. Geotechnique 13(3), 211-240 (1963).
22. Roscoe, K. H. and Burland, J. B., On the generalized stress-strain behavior of wet clay. In Engineering Plasticity, eds J. Heyman and F. A. Leckie. Cambridge University Press, Cambridge, England, pp. 535-609 (1968).