Modelling strain localization in granular materials using micropolar theory: Numerical implementation and verification

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 30, Issue 15, 2006, Pages 1525-1544

  Alshibli, Khalid A ^a   Alsaleh, Mustafa I ^b   Voyiadjis, George Z ^a  

^a LOUISIANA STATE UNIVERSITY   (United States)

^b CATERPILLAR INC   (United States)

Author keywords

Boundary conditions; Cosserat theory; Finite element; Plane strain; Sand; Shear bands

Indexed keywords

BOUNDARY CONDITIONS; DENSITY (SPECIFIC GRAVITY); FINITE ELEMENT METHOD; GRANULAR MATERIALS; MATHEMATICAL MODELS; PARTICLE SIZE ANALYSIS; SAND; STRESSES;

COSSERAT THEORY; MICROPOLAR THEORY; RELATIVE DENSITY; SHEAR BAND; STRAIN LOCALIZATION;

STRAIN;

BOUNDARY CONDITIONS; DENSITY (SPECIFIC GRAVITY); FINITE ELEMENT METHOD; GRANULAR MATERIALS; MATHEMATICAL MODELS; PARTICLE SIZE ANALYSIS; SAND; STRAIN; STRESSES;

BOUNDARY CONDITION; COSSERAT THEORY; FINITE ELEMENT METHOD; GRANULAR MEDIUM; MODELING; NUMERICAL MODEL; PLANE STRAIN; SAND; SHEAR BAND; STRAIN ANALYSIS; STRESS ANALYSIS;

EID: 33845509020     PISSN: 03639061     EISSN: 10969853     Source Type: Journal    
DOI: 10.1002/nag.534     Document Type: Article

References (33)

1. Alsaleh MI. Numerical modeling for strain localization in granular materials using Cosserat theory enhanced with microfabric properties. Ph.D. Thesis, Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, LA, 2004.
2. Alshibli KA. Localized deformations in granular materials. Ph.D. Dissertation, University of Colorado at Boulder CO, 176pp., 1995.
3. Roscoe KH. The influence of strains in soil mechanics. Geotechnique 1970; 20(2):129-170.
4. Rowe PW. The stress-dilatancy relation for static equilibrium of an assembly of particles in contact. Proceedings Royal Society 1962; 269(A):500-527.
5. Oda M. The mechanism fabric changes during compressional deformation of sand. Soils and Foundations 1972; 12(2):1-18.
6. Oda M, Konishi J, Nemat-Nasser S. Experimental micromechanical evaluation of strength of granular materials: effects of particle rolling. Mechanics of Materials 1982; 1:269-283.
7. Oda M, Iwashita I, Kazama H. Micro-structure developed in shear bands of dense granular soils and its computer simulation. Mechanics of Granular and Porous Materials 1997; 353-364.
8. Oda M, Kazama H, Konishi J. Effects of induced anisotropy on the development of shear bands in granular materials. Mechanics of Materials 1998; 28:103-111.
9. Oda M, Iwashita I. Mechanics of Granular Materials: An Introduction. A. A. Balkema: Rotterdam, 1999.
10. Nemat-Nasser S, Okada N. Strain localization in particulate media. In Proceedings of the 12th Engineering Mechanics Conference, Murakami H, Luco JE (eds), LA Jolla, CA, May 17-20, 1998; 1009-1012.
11. Alshibli KA, Sture S. Sand shear band thickness measurements by digital imaging techniques. Journal of Computing in Civil Engineering 1999; 13(2):103-109.
12. Han C, Drescher A. Shear bands in biaxial tests on dry coarse sand. Japanese Society of Soil Mechanics and Foundation Engineering 1993; 33:118-132.
13. Mokni M, Desrues J. Strain localization measurements in undrained plane-strain biaxial tests on Hostun RF sand. Mechanics of Cohesive-Frictional Materials 1998; 4:419-441.
14. Alshibli KA, Sture S. Shear band formation in plane strain experiments of sand. Journal of Geotechnical and Geoenvironmental Engineering (ASCE) 2000; 126(6):495-503.
15. Mühlhaus H-B, Vardoulakis I. The thickness of shear bands in granular materials. Geotechnique 1987; 37:271-283.
16. Vardoulakis I. Equilibrium bifurcation of granular earth bodies. Advances in Analysis of Geotechnical Instabilities. SM study 13, Paper 3, University of Waterloo Press, 1978; 65-119.
17. DeJong JT, Frost JD. Physical evidence of shear banding at granular-continuum interfaces. 15th ASCE Engineering Mechanics Conference, Columbia University, New York, 2-5 June, 2002.
18. Lade PV, Wang Q. Analysis of shear banding in true triaxial tests on sand. Journal of Engineering Mechanics 2001; 127(8):762-768.
19. Wang Q, Lade V. Shear banding in true triaxial tests and its effect on failure in sand. Journal of Engineering Mechanics (ASCE) 2001; 127(8):754-761.
20. Gudehus G, Nübel K. Evolution of shear bands in sand. Geotechnique 2004; 54(3):187-201.
21. Vesic AS. Bearing capacity theory from experiments. Journal of Soil Mechanics and Foundation Engineering, (ASCE Discussion) 1973; 99:575-577.
22. Tatsuoka F, Nakamura S, Huang CC, Tani K. Strength anisotropy and shear band direction in plane strain tests on sands. Soils and Foundations 1990; 30(1):35-54.
23. Huang W, Bauer E. Numerical investigations of shear localization in a micro-polar hypoplastic material. International Journal for Numerical and Analytical Methods in Geomechanics 2003; 27:325-352.
24. Cook RD, Malkus DS, Plesha ME. Concepts and Applications of Finite Element Analysis (3rd edn). Wiley: New York, 1989.
25. Belytschko T, Liu WK, Moran B. Nonlinear Finite Elements for Continua and Structure. Wiley: New York, 2000.
26. ABAQUS Version 6.3 Manuals, Hibbitt, Karlsson and Sorensen Inc., 2002.
27. Lade PV, Jakobsen KP. Incrementalization of a single hardening constitutive model for frictional materials. International Journal for Numerical and Analytical Methods in Geomechanics 2002; 26:647-659.
28. Jakobsen KP, Lade PV. Implementation algorithm for a single hardening constitutive model for frictional materials. International Journal for Numerical and Analytical Methods in Geomechanics 2002; 26:661-681.
29. Lade PV, Kim MK. Single hardening plasticity model for frictional materials. Computers and Geotechnics 1988; 6:13-29.
30. Alshibli KA. Unpublished Research. 2004.
31. Huang W, Nübel K, Bauer E. Polar extension of a hypoplastic model for granular materials with shear localization. Mechanics of Materials 2002; 34:563-576.
32. Trodesillas A, Peters JF, Gardiner BS. Shear band evolution and accumulated microstructural development in Cosserat media. International Journal for Numerical and Analytical Methods in Geomechancis 2004; 28:981-1010.
33. Vardoulakis I, Sulent J. Bifurcation Analysis in Geomechanics. Blackie Academic & Professional (an imprint of Chapman & Hall): Glasgow, London, U.K. 1995.