Discrete simulations of shear zone patterning in sand in earth pressure problems of a retaining wall

International Journal of Solids and Structures

Volumn 48, Issue 7-8, 2011, Pages 1191-1209

  Widuliński, Ł ^a   Tejchman, J ^a   Kozicki, J ^a   Lesniewska D ^b  

^a GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

^b KOSZALIN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Discrete element method; Earth pressure; Finite element method; Granular material; Micro polar hypoplasticity; Retaining wall; Rolling resistance; Shear zone

Indexed keywords

DENSE SANDS; DIGITAL IMAGE CORRELATION TECHNIQUE; DISCRETE ELEMENT METHOD; DISCRETE MODELS; DISCRETE SIMULATIONS; EARTH PRESSURE; FINITE ELEMENT; FINITE ELEMENT CALCULATIONS; HORIZONTAL TRANSLATION; LABORATORY MODEL TEST; MICRO-POLAR HYPOPLASTICITY; QUASI-STATIC; SHEAR ZONE;

GRANULAR MATERIALS; PRESSURE DISTRIBUTION; RETAINING WALLS; ROLLING RESISTANCE; ROTATION; SAND; THREE DIMENSIONAL;

FINITE ELEMENT METHOD;

EID: 79951674474     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2011.01.005     Document Type: Article

References (71)

1. Arthur, J.R.F., 1962. Strains and lateral force in sand. Ph.D. Thesis, University of Cambridge.
2. E. Bauer Calibration of a comprehensive hypoplastic model for granular materials Soils Found. 36 1 1996 13 26
3. Bransby, P.L., 1968. Stress and strain in sand caused by rotation of a model wall. Ph.D. Thesis, University of Cambridge.
4. P.L. Bransby, and G.W.E. Milligan Soil deformations near cantilever sheet pile walls Geotechnique 25 2 1975 175 195
5. A.F. Cabalar, and A. Cevik Neuro-fuzzy based constitutive modeling of undrained response of Leighton Buzzard Sand mixtures Expert Systems Appl. 37 2010 842 851
6. A. Caquot, and J. Kerisel Tables for the Calculation of Passive Pressures, Active Pressures and Bearing Capacity of Foundations 1948 Gauthier-Villars Paris
7. J.T. Christian, A.J. Hagmann, and W.A. Marr Incremental plasticity analysis of frictional soils Int. J. Num. Anal. Meth. Geomech. 1 1977 343 375 (Pubitemid 8558177)
8. Coulomb, C.A., 1773. Essai sur une application des regles des maximis et minimis a quelques problemes de statique relatifs a larchitecture. Memoires de lAcademie Royale pres Divers Savants, vol. 7.
9. P.A. Cundall, and R. Hart Numerical modeling of discontinua J. Eng. Comp. 9 1992 101 113
10. P.A. Cundall, and O.D.L. Strack The distinct numerical model for granular assemblies Geotechnique 29 1979 47 65 (Pubitemid 9433658)
11. J. Desrues, and G. Viggiani Strain localization in sand:overview of experiments in Grenoble using streo photogrammetry Int. J. Numer. Anal. Methods Geomech. 28 4 2004 279 321 (Pubitemid 38531152)
12. G. Gudehus Engineering approximations for some stability problems in geomechanics Advances in Analysis Geotechnical Instabilities vol. 13 1978 University Karlsruhe 1 24
13. G. Gudehus A comprehensive constitutive equation for granular materials Soils Found. 36 1 1996 1 12
14. G. Gudehus Erddruckermittlung Grundbautaschenbuch, Teil 1 1996 Ernst und Sohn
15. G. Gudehus, and K. Nübel Evolution of shear bands in sand Geotechnique 54 3 2004 187 201 (Pubitemid 38531487)
16. G. Gudehus, and E. Schwing Standsicherheit historischer Stützwände Internal Report of the Institute of Soil and Rock Mechanics 1986 University Karlsruhe
17. C. Han, and Y. Vardoulakis Plane strain compression experiments on water saturated fine-grained sand Geotechnique 41 1991 49 78
18. I. Herle, and G. Gudehus Determination of parameters of a hypoplastic constitutive model from properties of grain assemblies Mech. Cohesive-Frictional Mater. 4 5 1999 461 486 (Pubitemid 129304902)
19. M.A. Hicks, T.Y. Yap, and A.A. Bakar Adaptive and fixed mesh study of localisation in a strain-softening soil H.B. Mühlhaus, A. Dyskin, E. Pasternak, Bifurcation and Localisation Theory in Geomechanics 2001 Balkema 147 155
20. Houlsby, G.T., Wroth, C.P., 1982. Direct solution of plasticity problems in soils by the method of characteristics. In: Proc. 4th Int. Conf. on Num. Meth. in Geomech., Edmonton, Canada, pp. 1059-1071. (Pubitemid 15498589)
21. K. Iwashita, and M. Oda Rolling resistance at contacts in simulation of shear band development by DEM ASCE J. Eng. Mech. 124 3 1965 285 292
22. R.G. James, and P.L. Bransby A velocity field for some passive earth pressure problems Geotechnique 21 1 1971 61 83
23. M.J. Jiang, H.-S. Yu, and D.A. Harris Novel discrete model for granular material incorporating rolling resistance Comput. Geotech. 32 5 2005 340 357 (Pubitemid 41131384)
24. W.R. Ketterhagen, M.T. Amende, and B.C. Hancock Process modeling in the pharmaceutical industry using the discrete element method Pharm. Res. Dev. 2008 10.1002/jps.21466
25. J. Kozicki, and F.V. Donze A new open-source software developed for numerical simulations using discrete modelling methods Comput. Methods Appl. Mech. Eng. 197 2008 4429 4443
26. Krasinski, A., 1998. Pile resistance in cohesionless soil depending on pile diameter, grain diameter and pressure (in polish). Ph.D. Thesis, Gdansk University of Technology, pp. 1-201.
27. D. Leśniewska Shear band pattern formation in soil Habilitation 2000 Institute of Hydroengineering of the Polish Academy of Science
28. D. Leśniewska, and Z. Mróz Study of evolution of shear band systems in sand retained by flexible wall Int. J. Numer. Anal. Methods Geomech. 25 2001 909 932 (Pubitemid 32760789)
29. Lord, J.A., 1969. Stress and strains in an earth pressure problem. Ph.D. Thesis, University of Cambridge.
30. Lucia, J.B.A., 1966. Passive earth pressure and failure in sand. Research Report, University of Cambridge.
31. S. Luding Cohesive, frictional powders: contact models for tension Granular Matter 10 4 2008 235 246
32. G.W.E. Milligan Soil deformations near anchored sheet-pile walls Geotechnique 33 1 1983 41 55 (Pubitemid 13504456)
33. A. Mohamed, and M. Gutierrez Comprehensive study of the effects of rolling resistance on the stress-strain and strain localization behavior of granular materials Granular Matter 12 2010 527 541
34. H.-B. Mühlhaus Continuum models for layered and blocky rock J.A. Hudson, Ch. Fairhurst, Comprehensive Rock Engineering vol. 2 1990 Pergamon 209 231
35. Nakai, T., 1985. Analysis of earth pressure problems considering the influence of wall friction and wall deflection. In: Proc. Int. Conf. Num. Meth. Geomech. Nagoya, pp. 765-772.
36. Negre, R., 1959. Sur une methode approchee de la repatition des equilibre limite des massifs plans a faible frottement interne. C.R.A.S., Paris, pp. 3118-3120.
37. Niedostatkiewicz, M., 2003. Dynamic effects in silos (in Polish). Ph.D. Thesis, Gdańsk University of Technology, pp. 1-272.
38. M. Niedostatkiewicz Application of X-ray Technique for Monitoring Deformation of Granular Materials During Earth Pressure Problems 2009 Internal Report of Gdansk University of Technology
39. M. Niedostatkiewicz, D. Leśniewska, and J. Tejchman Experimental analysis of shear zone patterns in sand for earth pressure problems using Particle Image Velocimetry Strain 2010 10.1111/j.1475-1305.2010.00761.x2010
40. K. Nübel Experimental and numerical investigation of shear localisation in granular materials Publication Series of the Institute of Soil and Rock Mechanics vol. 62 2002 University Karlsruhe
41. K. Nübel, and W. Huang A study of localized deformation pattern in granular media Comput. Methods Appl. Mech. Eng. 193 2004 2719 2743 (Pubitemid 38653538)
42. M. Oda Micro-fabric and couple stress in shear bands of granular materials C. Thornton, Powders and Grains Rotterdam 1993 Balkema 161 167
43. A. Ord, B. Hibbs, and K. Regenauer-Lieb Shear band emergence in granular materials - a numerical study Int. J. Numer. Anal. Methods Geomech. 31 2007 373 393 (Pubitemid 46371848)
44. E. Pasternak, and H.-B. Mühlhaus Cosserat continuum modelling of granulate materials S. Valliappan, N. Khalili, Computational Mechanics - New Frontiers for New Millennium 2001 Elsevier Science 1189 1194
45. A.A. Pena, A. Lizcano, F. Alonso-Marroquin, and H.J. Herrmann Biaxial test simulations using a packing of polygonal particles Int. J. Numer. Anal. Methods Geomech. 32 2008 143 160 (Pubitemid 351325203)
46. D.M. Potts, and A.B. Fourie The behaviour of a propped retaining wall: results of a numerical experiment Geotechnique 34 3 1984 383 404 (Pubitemid 15600737)
47. A.L. Rechenmacher, and R.J. Finno Digital image correlation to evaluate shear banding in dilative sands Geotech. Testing J. 27 1 2004 13 22
48. K.H. Roscoe The influence of strains in soil mechanics Geotechnique 20 2 1970 129 170
49. L. Rothenburg, and R.J. Bathurst Micromechanical features of granular materials with planar elliptical particles Geotechnique 42 1992 79 95
50. Simpson, B., Wroth, C.P., 1972. Finite element computations for a model retaining wall in sand. In: Eisenstein, Z. (Ed.), Proc. Int. Conf. on Num. Meth. in Geomech. Edmonton 1982, pp. 85-93.
51. L. Skarynski, E. Syroka, and J. Tejchman Measurements and calculations of the width of the fracture process zones on the surface of notched concrete beams Strains 2009 10.1111/j.1475-1305.2008.00605.x
52. C. Slomiński, M. Niedostatkiewicz, and J. Tejchman Application of particle image velocimetry (PIV) for deformation measurement during granular silo flow Powder Technol. 173 1 2007 1 18 (Pubitemid 46452684)
53. Smith, I., 1972. Stress and strain in a sand mass adjacent to a model wall. Ph.D. Thesis, University of Cambridge.
54. V.V. Sokolovski Statics of Granular Media 1965 Pergamon Press
55. W. Szczepiński Limit states and kinematics of granular materials (in Polish) 1974 PWN Warszawa
56. J. Tejchman Influence of a characteristic length on shear zone formation in hypoplasticity with different enhancements Comput. Geotech. 31 8 2004 595 611 (Pubitemid 40145460)
57. J. Tejchman FE modeling of shear localization in granular bodies with micro-polar hypoplasticity Wu Borja Springer Series in Geomechanics and Geoengineering 2008 Springer Verlag Berlin-Heidelberg
58. J. Tejchman, and E. Dembicki Numerical analysis of active and passive earth pressures of granular soil on retaining walls (in polish), Inynieria Morska and Geotechnika J. Mar. Eng. nad Geotechnics 6 2001 365 368
59. J. Tejchman, and J. Górski Computations of size effects in granular bodies within micro-polar hypoplasticity during plane strain compression Int. J. Solids Struct. 45 6 2008 1546 1569 (Pubitemid 351181212)
60. J. Tejchman, and G. Gudehus Shearing of a narrow granular strip with polar quantities Int. J. Numer. Anal. Methods Geomech. 25 2001 1 18
61. J. Tejchman, and W. Wu FE-investigations of non-coaxiality and stress-dilatancy rule in dilatant granular bodies within micro-polar hypoplasticity Int. J. Numer. Anal. Methods Geomech. 33 1 2009 117 142
62. J. Tejchman, E. Bauer, and S.F. Tantono Influence of initial density of cohesionless soil on evolution of passive earth pressure Acta Geotechnica 2 1 2007 53 63
63. K. Terzaghi Mecanique theorique des sols 1951 Dunod Paris
64. C. Thornton, and L. Zhang A numerical examination of shear banding and simple shear non-coaxial flow rules Philos. Mag. 86 21-22 2006 3425 3452 (Pubitemid 43862415)
65. I. Vardoulakis Shear band inclination and shear modulus in biaxial tests Int. J. Numer. Anal. Methods Geomech. 4 2 1980 103 119
66. C.C. Wang A new representation theorem for isotropic functions J. Rat. Mech. Anal. 36 1970 166 223
67. D.J. White, W.A. Take, and M.D. Bolton Soil deformation measurements using particle image velocimetry (PIV) and photogrammetry Geotechnique 53 7 2003 619 631 (Pubitemid 37365620)
68. Ł. Widuliński, J. Kozicki, and J. Tejchman Numerical simulation of a triaxial test with sand using DEM Arch. Hydro-Eng. Environ. Mech. 56 3-4 2009 3 26
69. W. Wu Hypoplastizität als mathematisches Modell zum mechanischen Verhalten granularer Stoffe Heft 129, Institute for Soil- and Rock-Mechanics 1992 University of Karlsruhe
70. T. Yoshida, F. Tatsuoka, M.S.A. Siddiquee, and Y. Kamegai Shear banding in sands observed in plane strain compression Chambon Localisation and Bifurcation Theory for Soils and Rocks 1995 Balkema 165 179
71. Ziegler, M., 1986. Berechnung des verschiebungsabhängigen Erddruckes in Sand. Ph.D. Thesis, Institute for Soil and Rock Mechanics, Karlsruhe University.