Formulation of the return mapping algorithm for elastoplastic soil models

Computers and Geotechnics

Volumn 31, Issue 4, 2004, Pages 315-338

  Wang, X ^a   Wang, L B ^b   Xu, L M ^c  

^a Louisiana Tech University   (United States)

^b LOUISIANA STATE UNIVERSITY   (United States)

^c TONGJI UNIVERSITY   (China)

Author keywords

Euler backward method; Matsuoka Nakai; Mohr Coulomb; Return mapping algorithm; Two stage stress integration

Indexed keywords

ALGORITHMS; DEFORMATION; ELASTOPLASTICITY; EMBANKMENT DAMS; INTEGRATION; ITERATIVE METHODS; LINEAR EQUATIONS; STRESSES; WATER;

SOIL MODELS; STRESS ALGORITHM; TANGENTIAL MODULI; TRIAXIAL TEST;

SOILS;

ALGORITHM; ELASTOPLASTICITY; SOIL MECHANICS; STRESS ANALYSIS;

EID: 2442593926     PISSN: 0266352X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compgeo.2004.03.002     Document Type: Article

References (33)

1. ADINA R-D, Inc. Theory and modeling guide, vol. I: ADINA, Report ARD 02-7, 2002;490-3
2. Aravas N. On the numerical integration of a class of pressure-dependent plasticity models Int. J. Numer. Meth. Eng. 24 1987 1395-1416
3. Armero F. Perez-Foguet A. On the formulation of closed-point projection algorithms in elastoplaticity - part I: The variational structure Int. J. Numer. Meth. Eng. 53 2002 297-329
4. Bathe K.J. Finite element procedures 1996 Prentice-Hall Englewood Cliffs, NJ
5. Borja R.I. Cam-Clay plasticity, part II: Implicit integration of constitutive equation based on a nonlinear elastic stress predictor Comput. Meth. Appl. Mech. Eng. 88 1991 225-240
6. Borja R.I. Lee S.R. Cam-Clay plasticity, part I: Implicit integration of elasto-plastic constitutive relations Comput. Meth. Appl. Mech. Eng. 78 1990 49-72
7. Borja R.I. Sama K.M. Sanz P.F. On the numerical integration of three-invariant elstoplastic constitutive models Comput. Meth. Appl. Mech. Eng. 192 2003 1227-1258
8. Chen W.F. Mizuno E. Nonlinear analysis in soil mechanics 1990 Elsevier New York, NY
9. Chowdhury E.Q. Nakai T. Consequences of the tij-concept and a new modeling approach Comput. Geotech. 23 1998 131-164
10. Eterovic A.L. Bathe K.J. A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures Int. J. Numer. Meth. Eng. 30 1990 1099-1114
11. Gajo A. Wood D. Muir A kinematic hardening constitutive model for sands: The multiaxial formulation Int. J. Numer. Anal. Meth. Geomech. 23 1999 925-965
12. Jeremic B. Sture S. Implicit integration in elastoplastic geotechanics Mech. Cohesivie-Frictional Mater. 2 1997 165-183
13. Kojic M. Bathe K.J. Thermo-elastic-plastic and creep analysis of shell structures Comput. Struct. 26 1987 135-143
14. Kojic M. Bathe K.J. The 'effective-stress-function' algorithm for thermo-elasto-plasticity and creep Int. J. Numer. Meth. Eng. 24 1987 1509-1532
15. Kojic M, Bathe KJ. Inelastic Analysis of solids and structures. Goettingen: Springer (to appear)
16. Krieg R.D. Krieg D.B. Accuracies of numerical solution methods for elastic-perfectly plastic model J. Pressure Vessel Technol. ASME 99 1977 510-515
17. Matsuoka H. Nakai T. Stress-strain deformation and strength characteristics of soil under three different principal stresses Proc. JSCE 232 1974 59-70
18. Matsuoka H, Nakai T. Stress-strain relationship of soil based on the "SMP". In: Proc. Specialty Session 9, IXICSMFE, Tokyo 1977; p. 153-62
19. Nakai T. Matsuoka H. A generalized elastoplastic constitutive model for clay in three-dimensional stresses Soils Foundations 26 1986 81-98
20. Nakai T. Mihara Y. A new mechanical quantity for soils and its application to elastoplastic constitutive models Soils Foundations 24 1984 82-94
21. Ortiz M. Popov E.P. Accuracy and stability of integration algorithms for elastoplastic constitutive relations Int. J. Numer. Meth. Eng. 21 1985 1561-1576
22. Ortiz M. Simo J.C. An analysis of a new class of integration algorithm for elastoplastic costitutive relations Int. J. Numer. Meth. Eng. 23 1986 353-366
23. Perez-Foguet A. Armero F. On the formulation of closed-point projection algorithms in elastoplasticity - part II: Globally convergent schemes Int. J. Numer. Meth. Eng. 53 2002 331-374
24. Simo J.C. Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory Comput. Meth. Appl. Mech. Eng. 99 1992 61-112
25. Simo J.C. Hughes T.J.R. Computational inelasticity, interdisciplinary applied mathematics 1998 Springer New York
26. Tamagnini C. Castellanza R. Nova R. A generalized backward Euler algorithm for the numerical integration of an isotropic hardening elastoplastic model for mechanical and chemical degradation of bonded geomaterials J. Numer. Anal. Meth. Geomech. 26 2002 963-1004
27. 3-dependent elasto-plasticity models Bathe K.J. Proceedings of First MIT Conference on Computational Fluid and Solid Mechanics vol. 1 2001 542-545 Elsevier Amsterdam
28. Wang X. Chan D. Morgenstern N. Numerical modelling of shear bands by element bands Int. J. Numer. Meth. Eng. 54 2002 1131-1159
29. Wang X. Chan D. Morgenstern N. Kinematic modelling of shear band localization using discrete finite elements Int. J. Numer. Anal. Meth. Geomech. 27 2003 289-324
30. Wang X. Dong J. Formulation and study of thermal-mechanical coupling for saturated porous media Comput. Struct. 81 2003 1019-1029
31. Xu L. Wang X. Numerical simulation of shear band in clayey soils using finite deformation theory J. Geotech. Eng. (in Chinese) 26 2 2004 225-228
32. Zhang Z.L. Explicit consistent tangent moduli with a return mapping algorithm for pressure-dependent elastoplasticity models Comput. Meth. Appl. Mech. Eng. 121 1995 29-44
33. Zhang Z.L. Niemi E. A class of generalized mid-point algorithms for the Gurson-Tvergaard material model Int. J. Numer. Meth. Eng. 38 1995 2033-2053