Robust symmetric formulations for nonassociated plasticity problems

Journal of Engineering Mechanics

Volumn 125, Issue 9, 1999, Pages 1071-1080

  Famiyesin, Olubayo O R ^a  

^a UNIVERSITY OF ABERDEEN   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONFORMAL MAPPING; NUMERICAL METHODS; SOILS; STIFFNESS; SURFACES;

EQUIVALENCE OF INCREMENTAL WORK DONE; EQUIVALENCE OF PLASTIC MULTIPLIER; NONASSOCIATED PLASTICITY PROBLEMS; PSEUDOLOADS; YIELD SURFACE;

PLASTICITY;

PLASTICITY;

EID: 0033198922     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(1999)125:9(1071)     Document Type: Article

References (17)

1. Barros, M. H. F. M., Martins, R. A. F., and Dinis, L. M. J. S. (1987). "A symmetric formulation in non associated viscoplasticity." Engrg. Computation, 4, 35-40.
2. Drucker, D. C. (1951). "A more fundamental approach to stress-strain relations." Proc., 1st U.S. Nat. Congr. on Appl. Mech., 251-264.
3. Drucker, D. C. (1956). "On uniqueness in the theory of plasticity." Quarterly Appl. Mathematics, 14, 35-42.
4. Drucker, D. C. (1959). "A definition of stable inelastic material." J. Appl. Mathematics, 26, 101-106.
5. Famiyesin, O. O. (1990). "Modeling and computational aspects of the nonlinear finite element analysis of general concrete structures," PhD thesis, University of Wales, Swansea, U.K.
6. Famiyesin, O. O., Bicanic, N., and Owen, D. R. J. (1990a). "Adaptation of non-associated plasticity model for symmetric solvers." Proc., 2nd Int. Conf. on Struct. Engrg. and Modelling, University of Science and Technology, Kumasi, Ghana, 144-154.
7. Famiyesin, O. O., Bicanic, N., and Owen, D. R. J. (1990b). "Vector splitting approach to symmetrization in non-associated plasticity." Proc., 2nd Int. Conf. on Computer Aided Analysis and Des. of Concrete Struct., Pineridge, Swanesa, U.K., 1067-1078.
8. Figueiras, J. A. (1983). "Ultimate load analysis of anisotropic and reinforced concrete plates and shells," PhD thesis, University of Wales, Swansea, U.K.
9. Figueiras, J. A., and Owen, D. R. J. (1984). "Analysis of elastoplastic and geometrically nonlinear anisotropic plates and shells." Finite element software for plates and shells, Hinton and Owen, eds., Pineridge, Swansea, U.K., 235-326.
10. Mandel, J. (1964). "Conditions de stabilite et postulat de Drucker." Proc., Int. Union of Theoretical and Appl. Mech. Symp. on Rheology and Soil Mech., 58-67.
11. Martins, R. A. F., Barros, M. H. F. M., and Dinis, L. M. J. S. (1987). "Comportamento Elastoplastico de solos - Analise de um Modello Nao-associado." Geothecnica, 49, 23-35.
12. Mitchell, G. P., and Owen, D. R. J. (1988). "Numerical solutions for elastic-plastic problems." Engrg. Computations, 5, 274-284.
13. Mizuno, E., and Chen, W. F. (1983). "Cap models for clay strata to footing loads." Comp. and Struct., 17(4), 511-528.
14. Mroz, Z. (1963). "Nonassociated flow laws in plasticity." J. Mecanique, 2(1), 21-42.
15. Owen, D. R. J., and Hinton, E. (1984), Finite elements in plasticity. Pineridge, Swansea, U.K.
16. Pande, G. N., and Pietruszczak, S. (1986). "Symmetric tangential stiffness formulations for non-associated plasticity." Comp. and Geotechnics. 2, 89-99.
17. Zienkiewicz, O. C., Humpheson, C., and Lewis, R. N. (1975). "Associated and non associated viscoplasticity and plasticity in soil mechanics." Géotechnique, London, U.K., 25(4), 671-689.