On integration of cyclic soil plasticity model

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 25, Issue 6, 2001, Pages 525-549

  Manzari, Majid T ^a   Prachathananukit, Rung ^a  

^a The George Washington University   (United States)

Author keywords

Closet point projection method; Constitutive modelling cutting plane method; Granular materials; Kinematic hardening; Numerical integration; Sub stepping technique

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; INTEGRATION; MATHEMATICAL MODELS; PLASTICITY;

CYCLIC PLASTICITY CONSTITUTIVE MODELS; TIME-STEPPING INTEGRATORS;

SOIL MECHANICS;

ALGORITHM; CYCLICITY; PLASTICITY; SOIL MECHANICS;

EID: 0035340836     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.140     Document Type: Article

References (27)

1. Simo JC, Ortiz M. A unified approach to finite deformation elastoplastic analysis based on the use of hyper-elastic constitutive equations. Computer Methods in Applied Mechanics and Engineering 1985; 49:221-245.
2. Simo JC, Taylor RL. Consistent tangent operators for rate-independent elasto-plasticity. Computer Methods in Applied Mechanics and Engineering 1985; 48:101-118.
3. Ortiz M, Popov EP. Accuracy and stability of integration algorithms for elastoplastic constitutive relations.. International Journal for Numerical Methods in Engineering. 1985; 21(9):1561-1576.
4. Simo JC, Taylor RL. Return mapping algorithm for plane stress elastoplasticity. International Journal for Numerical Methods in Engineering 1986; 22:649-670.
5. Ortiz M, Simo JC. An analysis of a new class of integration algorithm for elastoplastic constitutive relations. International Journal for Numerical Methods in Engineering 1986; 23:353-366.
6. Simo J, Hughes TJR. General rate independent return algorithms for rate-independent plasticity. In Constitutive Laws for Engineering Materials, Theory and Applications, Desai CS et al. (eds). Elsevier Science Publishing Co., Inc: Amsterdam, 1987; 221-231.
7. Aravas N. On numerical integration of a class of pressure-dependent plasticity models. International Journal for Numerical Methods in Engineering 1987; 24:1995-1416.
8. Simo JC, Ju JW, Pister KS, Taylor RL. An assessment of cap model: consistent return algorithms and rate-dependent extension. Journal of Engineering Mechanics, ASCE 1988; 114:191-218.
9. Simo JC, Kennedy JG, Govindjee S. Non-smooth multi-surface plasticity and viscoplasticity, Loading/unloading conditions and numerical algorithms. Computer Methods in Applied Mechanics and Engineering 1988; 26:2161-2185.
10. Borja RI. Cam-Clay Plasticity, Part I: Implicit integration of constitutive relations. Computer Methods in Applied Mechanics and Engineering 1990; 78:49-72.
11. Borja RI. Cam - Clay Plasticity, Part II: Implicit integration of constitutive equation based on a nonlinear elastic stress predictor. Computer Methods in Applied Mechanics and Engineering 1991; 88:225-240.
12. Hofstetter G, Simo JC, Taylor RL. A modified cap model: closest point solution algorithms. Computers and Structures 1993; 46(2):203-214.
13. Etse G, William K. Integration algorithms for concrete plasticity. Journal of Engineering Computations 1996; 13(8):38-65.
14. Macari EJ, Weihe S, Arduino P. Implicit integration of elastoplastic constitutive models for frictional materials with highly non-linear hardening functions. Mechanics of Cohesive-Frictional Materials 1997; 2(1):1-29.
15. Jeremic B, Sture S. Implicit integrations in elastoplastic geotechnics. Mechanics of Cohesive-Frictional Materials 1997; 2(2):165-183.
16. Prevost JH. DYNA1D - a computer program for nonlinear seismic site response analysis. Report No. NCEER-88-0025, Department of Civil Engineering and Operations Research, Princeton University, Princeton, 1989.
17. Sloan SW. Substepping Schemes for the numerical integration of elastoplastic stress-strain relations. International Journal for Numerical Methods in Engineering 1987; 24:893-911.
18. Potts DM, Ganedra D. An evaluation of substepping and implicit point algorithms. Computer Methods in Applied Mechanics and Engineering 1994; 119:341-354.
19. Manzari MT, Dafalias YF. A critical state two-surface plasticity model for sands. Geotechnique 1997; 47(2):255-272.
20. Gajo A, Muir Wood D. Seven-Trent sand: a kinematic-hardening constitutive model: q-p formulation. Geotechnique 1999; 49(5):595-614.
21. Gajo A, Muir Wood D. A kinematic hardening constitutive model for sands: the multiaxial formulation. International Journal for Numerical and Analytical Methods in Geomechanics 1999; 23:925-965.
22. Prachathananukit R, Manzari MT. Significance of pore water flow in liquefaction analysis. Proceedings of ASCE 14th Engineering Mechanics Conference, Austin, Texas, 21-24 May 2000.
23. Dafalias YF, Popov EP. Plastic internal variable formalism of cyclic plasticity. Journal of Applied Mechanics 1976; 98(4):645-650.
24. Dafalias YF, Herrmann LR. Bounding surface formulation of soil plasticity. In Soil Mechanics - Cyclic and Transient Loads, Pande GN, Zienkiewicz OC (eds). Wiley: New York, 1982; 253-282.
25. Dafalias YF, Herrmann LR. Bounding surface plasticity II: application to isotropic cohesive soils. Journal of Engineering Mechanics ASCE 1986; 112(12):1263-1291.
26. Poorooshasb HB, Pietruszczak S. On the yielding and flow of sand, a generalized two surface model. Computers and Geotechnics 1985; 1:33-58.
27. Dafalias YF, Manzari MT. Modeling of fabric effect on the cyclic loading response of granular soils. Proceedings of ASCE 13th Engineering Mechanics Conference, Baltimore, Maryland, 13-16 June 1999.