Fabric evolution within shear bands of granular materials and its relation to critical state theory

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 35, Issue 18, 2011, Pages 1918-1948

  Fu, Pengcheng ^a   Dafalias, Yannis F ^a,b  

^a University of California Davis   (United States)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Critical state; Discrete element method; Fabric anisotropy; Fabric evolution; Particle rotation; Shear bands

Indexed keywords

BIAXIAL COMPRESSION; CRITICAL STATE; CRITICAL STATE LINES; DIRECT SHEAR; ELONGATED PARTICLES; FABRIC ANISOTROPY; FABRIC EVOLUTION; GRANULAR AGGREGATES; INITIAL STATE; MEAN STRESS; PARTICLE ORIENTATION; PARTICLE ROTATION; VOID RATIOS;

ANISOTROPY; COMPRESSION TESTING; CRITICAL CURRENT DENSITY (SUPERCONDUCTIVITY); DEFORMATION; FINITE DIFFERENCE METHOD; GRANULAR MATERIALS; PARTICLES (PARTICULATE MATTER); SHEAR BANDS;

AGGLOMERATION;

ANISOTROPY; COMPRESSION; DISCRETE ELEMENT METHOD; GRANULAR MEDIUM; LOADING; ROTATION; SHEAR BAND; VOID RATIO;

EID: 81855206337     PISSN: 03639061     EISSN: 10969853     Source Type: Journal    
DOI: 10.1002/nag.988     Document Type: Article

References (40)

1. Wood DM. Soil Behaviour and Critical State Soil Mechanics. Cambridge University Press: Cambridge, England, 1990.
2. Casagrande A. Characteristics of cohesionless soils affecting the stability of earth fills. Journal of the Boston Society of Civil Engineers 1936. Reprinted in Contributions to Soil Mechanics 1925-1940, 1959.
3. Roscoe KH, Schofield AN, Wroth CP. On the yielding of soils. Géotechnique 1958; 8(1):22-53. DOI: 10.1680/geot.1958.8.1.22.
4. Been K, Jefferies MG, Hachey J. The critical state of sands. Géotechnique 1991; 41(3):365-381. DOI: 10.1680/geot.1991.41.3.365.
5. Verdugo R, Ishihara K. The steady state of sandy soils. Soils and Foundations 1996; 36(2):81-91.
6. Desrues J, Chambon R, Mokni M, Mazerolle F. Void ratio evolution inside shear bands in triaxial sand specimens studied by computed tomography. Géotechnique 1996; 46(3):529-546. DOI: 10.1680/geot.1996.46.3.529.
7. Riemer MF, Seed RB. Factors affecting apparent position of steady-state line. Journal of Geotechnical and Geoenvironmental Engineering 1997; 123(3):281-288. DOI: 10.1061/(ASCE)1090-0241(1997)123:3(281).
8. Mooney MA, Finno RJ, Viggiani MG. A unique critical state for sand. Journal of Geotechnical and Geoenvironmental Engineering 1998; 124(11):1100-1108. DOI: 10.1061/(ASCE)1090-0241(1998)124:11(1100).
9. Oda M. Initial fabrics and their relations to mechanical properties of granular material. Soils and Foundations 1972; 12(1):17-36.
10. Mahmood A, Mitchell JK. Fabric-property relationships in fine granular materials. Clays and Minerals 1974; 22(5-6):397-408.
11. Oda M, Koishikawa I, Higuchi T. Experimental study of anisotropic shear strength of sand by plane strain test. Soils and Foundations 1978; 18(1):25-38.
12. Ochiai H, Lade PV. Three-dimensional behavior of sand with anisotropic fabric. Journal of Geotechnical Engineering 1983; 109(10):1313-1328.
13. Yang ZX, Li XS, Yang J. Quantifying and modelling fabric anisotropy of granular soils. Géotechnique 2008; 58(4):237-248. DOI: 10.1680/geot.2008.58.4.237.
14. Tatsuoka F, Sakamoto M, Kawamura T, Fukushima S. Shear and deformation characteristics of sand in plane strain compression at extremely low pressure. Soils and Foundations 1986; 26(1):65-84.
15. Guo PJ. Modified direct shear test for anisotropic strength of sand. Journal of Geotechnical and Geoenvironmental Engineering 2008; 134(9):1311-1318. DOI: 10.1061/(ASCE)1090-0241(2008)134:9(1311).
16. Mühlhaus HB, Vardoulakis I. The thickness of shear bands in granular materials. Géotechnique 1987; 37(3):271-283. DOI: 10.1680/geot.1987.37.3.271.
17. Finno RJ, Harris WW, Mooney MA, Viggiani G. Shear bands in plane strain compression of loose sand. Géotechnique 1997; 47(1):149-165. DOI: 10.1680/geot.1997.47.1.149.
18. Oda M, Kazama H. Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils. Géotechnique 1998; 48(4):465-481. DOI: 10.1680/geot.1998.48.4.465.
19. Alshibli KA, Sture S. Sand shear band thickness measurements by digital image technique. Journal of Computing in Civil Engineering 1999; 12(2):103-109. DOI: 10.1061/(ASCE)0887-3801(1999)13:2(103).
20. Desrues J, Viggiani G. Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry. International Journal for Numerical and Analytical Methods in Geomechanics 2004; 28(4):279-321. DOI: 10.1002/nag.338.
21. Finno RJ, Harris WW, Mooney MA, Viggiani G. Strain localization and undrained steady state of sand. Journal of Geotechnical Engineering 1996; 12(6):462-473. DOI: 10.1061/(ASCE)0733-9410(1996)122:6(462).
22. Rechenmacher AL. Grain-scale processes governing shear band initiation and evolution in sands. Journal of the Mechanics and Physics of Solids 2006; 54(1):22-45. DOI: 10.1016/j.jmps.2005.08.009.
23. Oda M, Takemura T, Takahashi M. Microstructure in shear band observed by microfocus X-ray computed tomography. Géotechnique 2004; 54(8):539-542. DOI: 10.1680/geot.2004.54.8.539.
24. Fu PC, Dafalias YF. Study of anisotropic shear strength of granular materials using DEM simulation. International Journal for Numerical and Analytical Methods in Geomechanics 2011; DOI: 10.1002/nag.945.
25. Oda M. Anisotropic strength of cohesionless sands. Journal of the Geotechnical Engineering Division (ASCE) 1981; 107(9):1219-1231.
26. Satake M. Fabric tensor in granular materials. In Proceedings of the IUTAM Symposium on Deformation and Failure of Granular Materials, Vermeer PA, Luger HJ (eds). Delft: Amsterdam, 1982; 63-68.
27. Curray JR. The analysis of two-dimensional orientation data. Journal of Geology 1956; 64(2):117-131.
28. Bagi K. Stress and strain in granular assemblies. Mechanics of Materials 1996; 22(3):165-177. DOI: 10.1016/0167-6636(95)00044-5.
29. Kruyt NP, Rothenburg L. Micromechanical definition of the strain tensor for granular materials. Journal of Applied Mechanics 1996; 63(3):706-711. DOI: 10.1115/1.2823353.
30. Liao C. Stress-strain relationship for granular materials based on the hypothesis of best fit. International Journal of Solids and Structure 1997; 34(31-32):4087-4100. DOI: 10.1016/S0020-7683(97)00015-2.
31. Kruyt N. Statics and kinematics of discrete Cosserat-type granular materials. International Journal of Solids and Structures 2003; 40(3):511-534. DOI: 10.1016/S0020-7683(02)00624-8.
32. Satake M. Tensorial form definitions of discrete-mechanical quantities for granular assemblies. International Journal of Solids and Structures 2004; 41(21):5775-5791. DOI: 10.1016/j.ijsolstr.2004.05.046.
33. Li X, Yu H. Macro-micro relations in granular mechanics. International Journal of Solids and Structures 2009; 46(25-26):4331-4341. DOI: 10.1016/j.ijsolstr.2009.08.018.
34. Cambou B. Change of scale in granular materials. European Journal of Mechanics A/Solids 2000; 19(6):999-1014. DOI: 10.1016/S0997-7538(00)01114-1.
35. Bagi K. Analysis of microstructural strain tensors for granular assemblies. International Journal of Solids and Structures 2006; 43(10):3166-3184. DOI: 10.1016/j.ijsolstr.2005.07.016.
36. Durán O, Kruyt N, Luding S. Analysis of three-dimensional micro-mechanical strain formulations for granular materials: evaluation of accuracy. International Journal of Solids and Structures 2010; 47(2):251-260. DOI: 10.1016/j.ijsolstr.2009.09.035.
37. Li XS, Dafalias YF. Dilatancy for cohesionless soils. Géotechnique 2000; 50(4):449-460. DOI: 10.1680/geot.2000.50.4.449.
38. Dafalias YF, Papadimitriou AG, Li XS. Sand plasticity model accounting for inherent fabric anisotropy. Journal of Engineering Mechanics 2004; 130(11):1319-1333. DOI: 10.1061/(ASCE)0733-9399(2004)130:11(1319).
39. Hall SA, Bornert M, Desrues J, Pannier Y, Lenoir N, Viggiani G, Béuelle P. Discrete and continuum analysis of localised deformation in sand using X-ray μCT and volumetric digital image correlation. Géotechnique 2010; 60(5):315-322. DOI: 10.1680/geot.2010.60.5.315.
40. Hasan A, Alshibli KA. Experimental assessment of 3D particle-to-particle interaction within sheared sand using synchrontron microtomography. Géotechnique 2010; 60(5):369-379. DOI: 10.1680/geot.2010.60.5.369.