Finite element method and constitutive modelling and computation for unsaturated soils

Computer Methods in Applied Mechanics and Engineering

Volumn 169, Issue 1-2, 1999, Pages 135-159

  Li, Xikui ^a   Thomas, H R ^b   Fan, Yiqun ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DEFORMATION; ELASTOPLASTICITY; FINITE ELEMENT METHOD; INTEGRATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; POROUS MATERIALS; SEEPAGE; STRESS ANALYSIS; SURFACE ROUGHNESS;

ALONSO CONSTITUTIVE MODEL; BACKWARD EULER INTEGRATION ALGORITHM; STRESS VARIABLE FORMULA; UNSATURATED SOILS;

SOIL MECHANICS;

CONSTITUTIVE MODEL; DEFORMATION; FINITE ELEMENT METHOD; SEEPAGE; SOIL MECHANICS; UNSATURATED MEDIUM;

EID: 0033613651     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00181-9     Document Type: Article

References (23)

1. [1] J. Bear and A. Verruijt, Modeling Groundwater Flow and Pollution (D. Reidel Publishing Company, 1987) (Reprinted with corrections 1992).
2. [2] Xikui Li, Effective stress in unsaturated soils, J. Dalian Univ. Technol. 37 (1997) 381-385.
3. [3] K. Terzaghi, Theoretical Soil Mechanics (Wiley, New York, 1943).
4. [4] D.G. Fredlund and H. Rahardjo, Soil Mechanics for Unsaturated Soils (John Wiley & Sons, Inc., New York, 1993).
5. [5] Xikui Li, D. Ding, A.H.C. Chan and O.C. Zienkiewicz, A coupled finite element method for the soil-pore fluid interaction problems with immiscible two-phase fluid flow, Proc. 5th Int. Symp. on Numerical Methods in Eng., Lausanne, 1 (1989) 705-713.
6. [6] Xikui Li, Finite element analysis for immiscible two-phase fluid flow in deforming porous media and an unconditionally stable staggered solution, Comm. Appl. Numer. Methods 6 (1990) 125-135.
7. [7] Xikui Li, O.C. Zienkiewicz and Y.M. Xie, A numerical model for immiscible two-phase fluid flow in a porous medium and its time domain solution, Int. J. Numer. Methods Engrg. 30 (1990) 1195-1212.
8. [8] Xikui Li and O. C. Zienkiewicz, Multiphase flow in deforming porous media and finite element solutions, Comput. Struct. 45 (1992) 211-227.
9. [9] P.A. Frosyth, Comparison of the single-phase and two-phase numerical model formulation for saturated-unsaturated groundwater flow, Comput. Methods Appl. Mech. Engrg. 69 (1988) 243-259.
10. [10] O.C. Zienkiewicz, Y.M. Xie, B.A. Schrefler, A. Ledesma and N. Bicanic, Static and dynamic behaviour of geomaterials, A rational approach to quantitative solutions, Part II - Semi-saturated problems, Proc. Roy. Soc. Lond. A429 (1990) 311-321.
11. [11] E.E. Alonso, A. Gens and A. Josa, A Constitutive model for partially saturated soils, Geotechnique 40 (1990) 405-430.
12. [12] P.G. Duxbury and Xikui Li, Development of elasto-plastic material models in a natural coordinate system, Comput. Methods Appl. Mech. Engrg. 135 (1996) 283-306.
13. [13] O.C. Zienkiewicz and T. Shiomi, Dynamic behaviour of saturated porous media: the generalized Biot formulation and its numerical solution, Int. J. Numer. Anal. Methods Geomech. 8 (1984) 71-96.
14. [14] Xikui Li, P.G. Duxbury and Paul Lyons, Coupled creep-elastoplastic-damage analysis for isotropic and anisotropic nonlinear materials, Int. J. Solids Struct. 31 (1994) 1181-1206.
15. [15] Xikui Li, P.G. Duxbury and Paul Lyons, Considerations for the application and numerical implementation of strain hardening with the Hoffman yield criterion, Comput. Struct 52 (1994) 633-644.
16. [16] K. Runesson, S. Sture and K. Willam, Integration in computational plasticity, Comput. Struct. 30 (1988) 119-130.
17. [17] J.C. Simo, J.G. Kennedy and S. Govindjee, Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms, Int. J. Numer. Methods Engrg. 26 (1988) 2161-2185.
18. [18] B.A. Schrefler, L. Simoni, Xikui Li and O.C. Zienkiewicz, Mechanics of partially saturated porous media, in: C.S. Desai and G. Gioda, eds., Numerical Methods and Constitutive Modelling in Geomechanics, CISM Courses and Lectures (Springer, 1990).
19. [19] R.W. Leiws and B.A. Schrefler, The Finite Element Method in the Deformation and Consolidation of Porous Media (John Wiley, New York, 1987).
20. [20] A. Lloret and A. Ledesma, Finite element analysis of deformations of unsaturated soils, Unsaturated soils: recent developments and applications, Civil Engineering European Courses, Barcelona, 15-17 June, 1993.
21. [21] Yiqun Fan, Xionghua Liao and Xikui Li, Transient analysis of braced excavations in elasto-plastic saturated/unsaturated soils and parametric study, Proc. 9th Int. Conf. on Computer Methods and Advances in Geomechanics, 1893-1898, Wuhan, China, 2-7 Nov., 1997.
22. [22] O.C. Zienkiewicz and R.L. Taylor, The Finite Element Methods, 4th edition, Vol. 1 (McGraw-Hill, 1989).
23. [23] O.C. Zienkiewicz and R.L. Taylor, The Finite Element Methods, 4th edition, Vol. 2 (McGraw-Hill, 1991).