Non-coaxial theories of plasticity for granular materials

12th International Conference on Computer Methods and Advances in Geomechanics 2008

Volumn 1, Issue , 2008, Pages 361-378

  Yu, Hai Sui ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Discrete element modelling; Fabric anisotropy; Granular materials; Non coaxial plasticity

Indexed keywords

DISCRETE ELEMENT MODELLING; FABRIC ANISOTROPY; GEOTECHNICAL PRACTICES; MICRO-MECHANICAL; NON-COAXIAL PLASTICITY; PLASTICITY THEORY; PRINCIPAL STRESS; SOIL BEHAVIOUR; SOIL MODEL;

GEOLOGIC MODELS; GEOMECHANICS; GRANULAR MATERIALS; PLASTIC DEFORMATION;

PLASTICITY;

EID: 84869765493     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (49)

1. Arthur, J R F and Menzies, B K (1972).'Inherent anisotropy in a sand'. Géotechnique, 22(1):115-128.
2. Arthur, J R F, Chua, K S and Dunstan, T (1977). 'Induced anisotropy in a sand'. Géotechnique, 27(1):13-30, 1977.
3. Arthur, J R F, Koenders, M A and Wong, R K S (1986) 'Anisotropy in particle contacts associated with shearing in granular media', Acta Mechanica, 64, 20-29.
4. Bagi, K (1996) 'Stress and strain in granular assemblies', Mechanics of Materials, 22, 165-177.
5. Calvetti, F, Combe, G and Lanier, J (1997) 'Experimental micromechanical analysis of a 2D granular materials: relation between structure evolution and loading path', Mechanics of Cohesive-Frictional Materials, 2, 121-163.
6. Cambou, B (1993) 'From global to local variables in granular materials', Powders and Grains (edited by Thornton), Balkema, 73-86.
7. Cambou, B (2000) 'Change of scale in granular materials', European Journal of Mechanics, A/Solids, 19, 999-1014.
8. Casagrande, A and Carrillo, N. (1944). 'Shear failure of anisotropic materials'. Proceedings of Boston Society of Civil Engineers, 31:74-87.
9. Christoffersen, J, Mehrabadi, M M and Nemat-Nasser, S (1981) 'A micromechanical description of granular material behaviour', Journal of Applied Mechanics, ASME, 48, 339-344.
10. Cundall, P A and Strack, O D L (1979). 'A discrete numerical model for granular assemblies', Geotechnique, 29, 47-65.
11. Cundall, P A, Drescher, A and Strack, O D L (1982). 'Numerical experiments on granular assemblies: measures and observations', Deformation and Failure of Granular Materials (edited by Vermeer and Luger), Balkema, 355-370.
12. De Josselin de Jong, G (1971). 'The double sliding free rotating model for granular assemblies', Geotechnique, 21, 155-163.
13. Drescher, A (1976). 'An experimental investigation of flow rules for granular materials using optically sensitive glass particles', Geotechnique, 26, 591-601.
14. Gutierrez, M, Ishihara, K and Towhata, I (1991). 'Flow theory for sand rotation of principal stress direction'. Soils and Foundations, 31, 121-132.
15. Harris, D (1993) 'Constitutive equations for planar deformation of rigid plastic materails', Journal of the Mechanics and Physics of Solids, 41, 1515-1531.
16. Hight, D W, Gens, A and Symes, M J (1983). 'The development of a new cylinder apparatus for investigating the effects of principal stress rotation in soils'. Geotechnique, 33, 355-383.
17. Hill, R (1950) The Mathematical Theory of Plasticity, The Clarendon Press, Oxford.
18. Jiang, M J, Harris, D and Yu, H S (2005).'Kinematic models for non-coaxial granular materials: Part I and Part II'. International Journal of Numerical and Analytical Methods in Geomechanics, 29, 643-689.
19. Kanatani, K (1984) 'Distribution of directional data and fabric tensors', International Journal of Engineering Science, 22(2), 149-164.
20. Konishi, J and Naruse, F (1988) 'A note on fabric in terms of voids', Micromechanics of Granular Materials, Edited by M Satake and J T Jenkins, Elsevier, 39-46.
21. Langston, P.A. (1995), 'Discrete element simulation of granular flow in 2D and 3D hoppers: Dependence of discharge rate and wall stress on particle interactions', Chemical Engineering Science, 50, 967-987.
22. Li, X and Yu, H S (2008). 'A microscopic investigation on the deformation mechanism of granular materials with principal stress rotation', To be submitted to Geotechnique.
23. Matsuoka, H, Sakakibara, K and Suzuki, Y (1988). 'A constitutive model for granular materials evaluating principal stress rotation'. Micromechanics of Granular Materials, Edited by M Satake and J T Jenkins, Elsevier, 287-296.
24. McDowell, G R and Bolton, M D (1998) 'On the micromechanics of crushable aggregates', Geotechnique, 48, 667-679.
25. Mehrabdi, M M and Nemat-Nasserm S, Shodja, H M and Subhash, G (1988) 'Some basic theoretical and experimental results on micromechanics of granular flow', Micromechanics of Granular Materials, Edited by M Satake and J T Jenkins, Elsevier, 253-261.
26. Miura, K, Miura, S and Toki, S (1986). 'Deformation behaviour of anisotropic dense sand under principal stress axes rotation.', Soils and Foundations, 26, 36-52.
27. Nemat-Nasser, S (1982). 'Fabric and its influence on mechanical behaviour of granular materials', Deformation and Failure of Granular Materials (edited by Vermeer and Luger), Balkema, 37-42.
28. Nemat-Nasser, S (2000) 'A micromechanically-based constitutive model for frictional deformation of granular materials', Journal of the Mechanics and Physics of Solids, 48, 1541-1563.
29. Oda, M (1972) 'Initial fabrics and their relations to mechanical properties of granular materials', Soils and Foundations, 1, 17-36.
30. Oda, M and Iwashita, K (editors) (1999) Mechanics of Granular Materials: An Introduction. Taylor & Francis.
31. Oda, M and Konishi, J (1974). 'Rotation of principal stresses in granular material during simple shear', Soils and Foundations, 14, 39-53.
32. Oda, M, Konishi, J and Nemat-Nasser, S (1982) 'Experimental micromechanical evaluation of strength of granular materials: effects of particle rolling', Mechanics of Materials, 1(4), 269-283.
33. Oda, M and Nakayama, H. (1989) 'Yield function for soil with anisotropic fabric', Journal of Engineering Mechanics, ASCE, 115(1), 89-104.
34. Roscoe, K H (1970). 'The influence of strains in soil mechanics'. The 10th Rankine Lecture, Geotechnique, 20, 129-170.
35. Roscoe, K H, Bassett, R H and Cole, E R (1967). 'Principal axes observed during simple shear of a sand'. Proc. Conference, Oslo, 1, 231-237.
36. Rothenburg, L and Bathurst, R J (1989). 'Analytical study of induced anisotropy in idealized granular materials', Geotechnique, Vo 39. No 4, 601-617.
37. Rudnicki, J W and Rice, J R (1975) 'Conditions for the localisation of deformation in pressure-sensitive dilatant materials', Journal of the Mechanics and Physics of Solids, 23, 371-394.
38. Satake, M (1982). 'Fabric tensor in granular materials', Deformation and Failure of Granular Materials (edited by Vermeer and Luger), Balkema, 63-68.
39. Shodja, H M and Nezami, E G (2002) 'Stress-induced anisotropy in random assemblies of oval granules', Numerical Models in Geomechanics - NUMOG8, (edited by Pande and Pietruszczak), 61-66.
40. Spencer, A J M (1982) 'Deformation of ideal granular materails'. Mechnaics of Solids (edited by Hopkins and Sewell), 607-652.
41. Teunissen, J A M and Vermeer, P A (1988). 'Analysis of double shearing in frictional materials', International Journal of Numerical and Analytical Methods in Geomechanics, 12, 323-340.
42. Thornton, C and Barnes, D J (1986) 'Computer simulated deformation of compact granular assemblies', Acta Mechanica, 64, 45-61.
43. Tsutsumi, S and Hashiguchi, K (2005) 'General non-proportional loading behaviour of soils', International Journal of Plasticity, 21, 1941- 1969.
44. Wan, R G and Guo, P J (2004) 'Stress dilatancy and fabric dependencies on sand behaviour', Journal of Engineering Mechanics, ASCE, 130(6), 635-645.
45. Wang, J, Yu, H S and Langston, P (2008). 'Non-coaxial behaviour of granular material in simple shear - a micromechanical investigation'. Submitted to Geomechanics and Geoengineeing: An International Journal.
46. Yang, Y and Yu, H S (2006) 'A non-coaxial critical state soil model and its application to simple shear simulations', International Journal for Numerical and Analytical Methods in Geomechanics, 30(13), 1369-1390.
47. Yu, H S (2006) Plasticity and Geotechnics, Springer, New York.
48. Yu, H S and Yuan, X (2005). 'The importance of accounting for non-coaxial behaviour in modelling soil-structure interaction'. Issue Paper, Proceedings of IACMAG11 (edited by G Barla and M Barla), Vol 4, 709-718.
49. Yu, H S and Yuan, X (2006) 'On a class of non-coaxial plasticity models for granular soils,' Proceedings of the Royal Society London, Series A, 462, 725-748.