Strain localisation modelling and pore pressure in saturated sand samples

Computational Mechanics

Volumn 22, Issue 3, 1998, Pages 266-280

  Schrefler, B A ^a   Zhang, H W ^b   Pastor, M ^c   Zienkiewicz, O C ^d  

^a UNIVERSITY OF PADOVA   (Italy)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^c CETA   (Spain)

^d SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; MECHANICS; MODELS; POROSITY; POROUS MATERIALS; PRESSURE; SAND; WATER;

STRAIN LOCALISATION MODELLING;

STRAIN;

EID: 0032166299     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050359     Document Type: Article

References (45)

1. Baggio P, Bonacina C, Schrefler BA (1997) Some considerations on modelling heat and mass transfer in porous media. Transport in Porous Media 28:233-281
2. Bear J (1972) Dynamics of Fluid in Porous Media. Dover Publications Inc., New York (p. 133)
3. Bolzon G, Schrefler BA, Zienkiewicz OC (1996) Elastoplastic soil constitutive laws generalised to semisaturated states. Geotechnique 46, 2:279-289
4. Brooks RN, Corey AT (1966) Properties of porous media affecting fluid flow. J Irrig Drain Div Am Soc Civ Eng 92 (IR2), 61-68
5. Chan AHC, Zienkiewicz OC, Pastor M (1988) Transformation of incremental plasticity relation from defining space to general Cartesian stress space. Comm Appl Numer Methods 4:577-580
6. Desrues J, Mokni M, Drained & Undrained Biaxial Test Data on Hostun RF Sand. Data base Alert96, ALERT Web server
7. Desrues J, Mokni M, Viggiani G (1997) Experimental strain localisation in undrained biaxial tests on sand, McNU'97 Symposium. Northwestern University, USA, 30 June-2 July
8. Desrues J, Mokni M, Viggiani G (1997) Experimental strain localisation in undrained biaxial tests on sand, to be published,
9. Ehlers W, Volk W On shear band localisation phenomena of liquid-saturated granular elasto-plastic porous solid materials accounting for fluid viscosity and micropolar solid rotations, to appear on Mechanics of Cohesive-Frictional Material and Structures
10. Gawin D, Sanavia L, Schrefler BA (1998) Cavitation modelling in saturated geomaterials with application to dynamic strain localisation, I. J Num Methods in Fluids 27, 1-4:109-125
11. Gray WG, Hassanizadeh M (1991) Unsaturated flow theory ineluding interfacial phenomena. Water Resources Res 27 (8):1855-1863
12. Hadamard J (1903) Lecons sur la propagation des ondes et les equations de l'hydrodynamique. Librairie Scientifique A., Hermann, Paris, France (in French)
13. Hassanizadeh M, Gray WG (1979a) General conservation equations for multi-phase system: I. Averaging technique. Adv Water Res 2:131-144
14. Hassanizadeh M, Gray WG (1979b) General conservation equations for multi-phase system: 2. Mass, momenta, energy and entropy equations. Adv Water Res 2:191-201
15. Hassanizadeh M, Gray WG (1980) General conservation equations for multi-phase system: 3. Constitutive theory for porous media flow. Adv Water Res 3:25-40
16. Hill R (1962) Acceleration waves in solids. J Mech Phys Solids 10:1-16
17. Lewis RW, Schrefler BA (1998) The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media. John Wiley, Chichester
18. Loret B, Prevost JH (1991) Dynamic strain localisation in fluid-saturated porous media. J Eng Mech 11:907-922
19. Meroi E, Schrefler BA, Zienkiewicz OC (1995) Large strain static and dynamic semisaturated soil behaviour. Int J Num Anal Meth Geomechanics 19, 2:81-106
20. Mokni M (1992) Relations entre déformations en masse et déformations localisées dans les matériaux granulaires, Ph.D. Thesis, Institut de Mécanique de Grenoble, France
21. Needleman A 1988 Material rate dependence and mesh sensitivity on localisation problems. Comp Meth Appl Mech Eng 67:69-86
22. Pastor M, Zienkiewicz OC 1986 A generalized plasticity hierarchical model for sand under monotonic and cyclic loading, in G.N. Pande and W.F. Van Impe (eds.), Numerical Models in Geomechanics, Jackson and Son, London 131-150
23. Pastor M, Zienkiewicz OC, Leung KH (1985) Simple model for transient soil loading in earthquake analysis, II. Non-associative models for sands. Int J Numer Anal Methods Geomech 9-477-498
24. Pastor M, Zienkiewicz OC, Chan AHC (1990) Generalized plasticity and the modelling of soil behaviour. Int J Num Anal Meths Geomech 14:151-190
25. Rice JR (1985) On the stability of dilatant hardening for saturated rock masses. J Geophys Res 80:1531-1536
26. Rudnicki JW, Chen CH (1988) Stabilization of rapid frictional slip on a weakening fault by dilatant hardening. J Geophys Res 93 (B5):4745-4757
27. Rudnicki JW (1984) Effect of dilatant hardening on the development of concentrated shear-deformation in fissured rock masses. J Geophys Res 89 (B11):9259-9270
28. Safai NM, Pinder GF (1979) Vertical and horizontal land deformation in a desaturating porous medium. Adv Water Resour 2:19-25
29. Sanavia L, Zhang HW, Schrefler B A (1995) Strain localization modelling in saturated sand samples. 'Beitraege zur Mechanik', Forschungsberichte aus dem Fachbereich Bauwesen. Univ Essen 66:357-366
30. Schrefler BA (1995) F.E. in environmental engineering: Coupled thermo-hydro-mechanical process in porous media including pollutant transport. Arch Comput Meth Eng 2:1-54
31. Schrefler BA, Majorana CE, Sanavia L (1995) Shear band localization in saturated porous media. Arch Mech 47:577-599
32. Schrefler BA, Sanavia L, Majorana CE (1996) A multiphase medium model for localisation and post-localisation simulation in geomaterial. Mechanics of Cohesive-Frictional Materials and Structures 1:95-114
33. Schrefler BA, Zhang HW, Sanavia L (to be published) Fluid-structure interaction in the localisation of saturated porous media
34. Sluys LJ (1992) Wave propagation, localization and dispersion in softening solids, Ph.D. Thesis, Civil Engineering Department of Delf University of Technology
35. Vardoulakis I (1986) Dynamic stability analysis of undrained simple shear on water-saturated granular soils. Int J Numer Anal Meth Geomech 10:177-190
36. Vardoulakis I (1996) Deformation of water-saturated sand: I. uniform undrained deformation and shear band. Géotechnique 46, 3, 441-456, 1996, and Deformation of water-saturated sand: the effect of pore water flow and shear banding. Géotechnique 46, 3:457-471
37. Vardoulakis I (1996) Deformation of water-saturated sand: I. uniform undrained deformation and shear band. Géotechnique 46, 3, 441-456, 1996, and Deformation of water-saturated sand: the effect of pore water flow and shear banding. Géotechnique 46, 3:457-471
38. Zhang HW, Schrefler BA (to appear) Gradient-dependent model and strain localisation analysis of saturated and partially saturated porous media
39. Zienkiewicz OC, Mroz Z (1984) Generalised plasticity formulation and applications to geomechanics, in C.S.Desai and R.H.Gallagher (eds.), Mechanics of Materials, Wiley, New York 665-679
40. Zienkiewicz OC, Leung KH, Pastor M (1985) Simple model for transient soil loading in earthquake analysis, I. Basic model and its application. Int J Numer Anal Methods Geomech 9:453-476
41. Zienkiewicz OC, Chan AHC, Pastor M, Paul DK, Shiomi T (1990) Static and dynamic behaviour of soils: a rational approach to quantitative solutions. I - Fully saturated problems. Proc R Soc Lond A429, 285-309
42. Zienkiewicz OC, Chan AHC, Pastor M, Schrefler BA, Shiomi T (1998) Computational Soil Dynamics applied to Earthquake Engineering. John Wiley & Sons
43. Zienkiewicz OC, Huang M, Pastor M (1995) Localisation problems in plasticity using finite elements with adaptive remeshing. Int J Num Anal Meth Geomechanics 19:127-148
44. Zienkiewicz OC, Pastor M, Huang M (1995) Softening localisation and adaptive remeshing. Capture of discontinuous solutions. Computational Mechanics 6:1-9
45. Zienkiewicz OC, Taylor RL (1991) The Finite Element Method. Mc.Graw-Hill Book Company, London