On a multilaminate model for soil incorporating small strain stiffness

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 33, Issue 2, 2009, Pages 215-243

  Scharinger, Florian ^a,b   Schweiger, Helmut F ^b   Pande, Gyan N ^c  

^a Garber Dalmatiner and Partner ZT OG   (Austria)

^b GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

^c SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Finite element method; Multilaminate model; Small strain stiffness

Indexed keywords

DEEP EXCAVATION; ELASTIC STIFFNESS; FINITE ELEMENT CODES; INDUCED ANISOTROPY; INFINITE NUMBERS; LABORATORY TEST; MECHANICAL RESPONSE; MULTILAMINATE MODEL; NUMERICAL SIMULATION; PREDICTIVE CAPABILITIES; SMALL STRAIN STIFFNESS; SMALL STRAINS; SOIL BEHAVIOUR; SOIL MODEL; SOIL STIFFNESS; STRESS STRAIN BEHAVIOURS;

CONSTITUTIVE MODELS; GEOLOGIC MODELS; SIMULATORS; SOILS; STIFFNESS; STRAIN; STRAIN MEASUREMENT; STRESSES;

FINITE ELEMENT METHOD;

CONSTITUTIVE EQUATION; DEFORMATION; FINITE ELEMENT METHOD; MECHANICAL PROPERTY; MICROMECHANICS; NUMERICAL MODEL; SIMULATION; STIFFNESS; STRESS-STRAIN RELATIONSHIP;

EID: 66149142743     PISSN: 03639061     EISSN: 10969853     Source Type: Journal    
DOI: 10.1002/nag.710     Document Type: Article

References (54)

1. Pande GN, Sharma KG. Multilaminate model of clays - a numerical evaluation of the influence of rotation of principal stress axes. International Journal for Numerical and Analytical Methods in Geomechanics 1983; 7(4):397-418.
2. Schuller H, Schweiger HF. Application of a multilaminate model to simulation of shear band formation in NATM-tunnelling. Computers and Geotechnics 2002; 29:501-524.
3. Pietruszczak S, Pande GN. Multi-laminate framework of soil models - plasticity formulation. International Journal for Numerical and Analytical Methods in Geomechanics 1987; 11(6):651-658.
4. Neher HP, Vermeer PA, Bonnier PG. Strain-rate effects in soft soils modelling and application. In Proceedings of the 3rd International Conference on Soft Soil Engineering, Hong Kong, Lee CF, Lau CK, Ng CWW, Kwong AKL, Pang PLR, Yin J-H, Yue ZQ (eds). Balkema: Rotterdam, 2001; 361-367.
5. Wiltafsky Ch. A multilaminate model for normally consolidated clay. Ph.D. Thesis, Gruppe Geotechnik Graz, Heft 18, Graz University of Technology, Austria, 2003.
6. Batdorf SB, Budiansky B. A mathematical theory of plasticity based on the concept of slip. TN 1871, National Advisory Committee for Aeronautics, 1949.
7. Calladine CR. A microstructural view of the mechanical properties of saturated clay. Géotechnique 1971; 21(4):391-415.
8. Taylor GI. Plastic strain in metals. Journal of the Institute of Metals 1938; 62:307-324 (Reprinted in the Scientific Papers of G. I. Taylor 1. Cambridge University Press: Cambridge, U.K., 1958).
9. Zienkiewicz OC, Pande GN. Time-dependent multilaminate model of rocks - a numerical study of deformation and failure of rock masses. International Journal for Numerical and Analytical Methods in Geomechanics 1977; 1(3):219-247.
10. Sadrnejad SA, Pande GN. A multilaminate model for sands. In Proceedings of the 3rd International Symposium on Numerical Models in Geomechanics (NUMOG), Niagara Falls, Canada, Pietruszczak S, Pande GN (eds). Elsevier: London, 1989; 17-27.
11. Brinkgreve RBJ, Broere W, Waterman D. Plaxis, Finite Element Code for Soil and Rock Analyses, Users Manual. PLAXIS b.v.: The Netherlands, 2006.
12. Scharinger F, Schweiger HF. Undrained response of a double hardening multilaminate model for soils. In Proceedings of the 11th International Conference of the International Association of Computer Methods and Advances in Geomechanics (IACMAG), Turin, Italy, Barla G, Barla M (eds). Patron Editore: Bologna, 2005; 505-512.
13. Scharinger F. A multilaminate model for soil incorporating small strain stiffness. Ph.D. Thesis, Gruppe Geotechnik Graz, Heft 31, Graz University of Technology, Austria, 2007.
14. Bažant ZP, Oh BH. Microplane model for progressive fracture of concrete and rock. Journal of Engineering Mechanics (ASCE) 1985; 11(4):559-582.
15. Fliege J, Maier U. A two-stage approach for computing cubature formulae for the sphere. Ergebnisberichte Angewandte Mathematik No. 139T, Fachbereich Mathematik, Dortmund University, Germany, 1996.
16. Fliege J, Maier U. The distribution of points on the sphere and corresponding cubature formulae. IMA Journal of Numerical Analysis 1999; 19(2):317-334.
17. Bažant ZP, Oh BH. Efficient numerical integration on the surface of a sphere. Zeitschrift für Angewandte Mathematik und Mechanik 1986; 66:37-49.
18. Duffy J, Mindlin RD. Stress-strain relations and vibrations of a granular medium. Journal of Applied Mechanics 1957; 79:585-593.
19. Deresiewicz H. Stress-strain relations for a simple model of granular medium. Journal of Applied Mechanics 1958; 25:402-406.
20. Digby PJ. The effective elastic moduli of porous granular rock. Journal of Applied Mechanics 1981; 48(4): 803-808.
21. Walton K. The effective elastic moduli of a random packing of spheres. Journal of the Mechanics and Physics of Solids 1987; 35(2):213-226.
22. Chang CS, Sundaram SS, Misra A. Initial moduli of particulated mass with frictional contacts. International Journal for Numerical and Analytical Methods in Geomechanics 1989; 13:629-644.
23. Chang CS, Misra A, Sudaram SS. Properties of granular packings under low amplitude cyclic loading. Soil Dynamics and Earthquake Engineering 1991; 10(4):201-211.
24. Chang CS, Liao CL. Estimates of elastic modulus for media of randomly packed granules. Applied Mechanics Review 1994; 47(1, Part 2):197-206.
25. Yimsiri S, Soga K. Micromechanics-based stress-strain behaviour of soils at small strains. Géotechnique 2000; 50(5):559-571.
26. Yimsiri S, Soga K. Application of micromechanics model to study anisotropy of soils at small strains. Soils and Foundations 2002; 42(5):15-26.
27. Mindlin RD, Deresiewicz H. Elastic spheres in contact under varying oblique forces. Journal of Applied Mechanics 1953; 20(3):327-344.
28. Greenwood JA, Tripp JH. The elastic contact of rough spheres. Journal of Applied Mechanics (ASME) 1967; 34(1):153-159.
29. Johnson KL. Contact Mechanics. Cambridge University Press: Cambridge, 1985.
30. Chang CS, Misra A, Sundaram SS. Micromechanical modelling of cemented sands under low amplitude oscillations. Géotechnique 1990; 40(2):251-263.
31. Graton LC, Fraser HJ. Systematic packing of spheres with particular relation to porosity and permeability. Journal of Geology 1935; 43:785-909.
32. Smith WO, Foote PD, Busang PF. Packing of homogeneous spheres. Physical Review 1929; 34:1271-1274.
33. Field WG. Towards the statistical definition of a granular mass. Proceedings of the 4th Australian and New Zealand Conference on Soil Mechanics, Wellington, 1963; 143-148.
34. Oda M. Co-ordination number and its relation to shear strength of granular material. Soils and Foundations 1977; 17(2):29-42.
35. Marsal RJ. Mechanical properties of rockfill. In Embankment-Dam Engineering, Casagrande Volume, Hirschfeld RC, Poulos SJ (eds). Wiley: New York, 1973; 109-200.
36. Yanagisawa E. Influence of void ratio and stress condition on the dynamic shear modulus of granular media. In Advances in the Mechanics and the Flow of Granular Materials II, Shahinpoor M (ed.). Gulf Publishing Company: Houston, TX, 1983; 947-960.
37. Pande GN. Influence of grain shape and size on the behaviour of granular materials. In Proceedings of the 2nd International Conference on Numerical Methods in Engineering, Theory and Applications, Swansea, U.K., Pande GN, Middleton J (eds). Martinus Nijhoff Publishers: Dordrecht, 1987; C26/1.
38. Gerrard CM, Pande GN. Numerical modelling of reinforced jointed rock masses, I. Theory. Computers and Geotechnics 1985; 1:293-318.
39. Bowden FP, Tabor D. The Friction and Lubrication of Solids, Part II. Clarendon Press: Oxford, 1964.
40. Janbu N. Soil compressibility as determined by oedometer and triaxial tests. Proceedings of the 3rd European Conference on Soil Mechanics, Wiesbaden, vol. 1, 1963; 19-25.
41. Goddard JD. Nonlinear elasticity and pressure-dependent wave speeds in granular media. Proceedings of the Royal Society of London, Series A 1990; 430:105-131.
42. von Soos P, Bohac J. Properties of soils and rocks and their laboratory determination. Geotechnical Engineering Handbook, vol. 1. Ernst & Sohn: Berlin, 2002; 119-206.
43. Hoque E, Tatsuoka F. Anisotropy in elastic deformation of granular materials. Soils and Foundations 1998; 38(1):163-179.
44. Lade PV, Abelev AV. Characterisation of cross-anisotropic soil deposits from isotropic compression tests. Soils and Foundations 2005; 45(5):89-102.
45. Atkinson JH, Sallfors G. Experimental determination of stress-strain-time characteristics in laboratory and in situ tests. Proceedings of the 10th European Conference on Soil Mechanics and Foundation Engineering, vol. 3. Associazione Geotechnica Italiana: Florence, Italy, 1991; 915-956.
46. Ramberg W, Osgood WR. Description of stress-strain curves by three parameters. Technical Note No. 902, National Advisory Committee for Aeronautics, Washington, DC, U.S.A., 1943.
47. Seed HB, Idriss IM. Soil moduli and damping factors for dynamic response analyses. Report No. 70-10, Earthquake Engineering Research Center, Berkeley, CA, U.S.A., 1970.
48. Jardine RJ, Potts DM, Furie AB, Burland JB. Studies of the influence of non-linear stress-strain characteristics in soil-structure interaction. Géotechnique 1986; 36(3):377-396.
49. Santos JA, Gomes Correia A. Reference threshold shear strain of soil. Its application to obtain an unique strain-dependent shear modulus curve for soil. Proceedings of the 15th International Conference on Soil Mechanics and Foundation Engineering, Istanbul, Turkey, Publications Committee of the XV ICSMGE (eds). Balkema: Lisse, 2001; 267-270.
50. Soga K, Nakagawa K, Mitchell JK. Measurement of stiffness degradation characteristics of clays using a torsional shear device. In Proceedings of the 1st International Conference on Earthquake Geotechnical Engineering, Tokyo, Japan, Ishihara K (ed.). Balkema: Rotterdam, 1995; 107-112.
51. Richardson D. Investigations of threshold effects in soil deformations. Ph.D. Thesis, City University, London, U.K., 1988.
52. Kohata Y, Tatsuoka F, Wang L, Jiang GL, Hoque E, Kodaka T. Modelling the non-linear deformation properties of stiff geomaterials. Géotechnique 1997; 47(3):563-580.
53. Desrues J, Zweschper B, Vermeer PA. Database for tests on Hostun RF sand. Institutsbericht No. 13, Institute for Geotechnical Engineering, University of Stuttgart, 2000.
54. Lama RD, Vutukuri VS. Handbook on Mechanical Properties of Rocks. Trans Tech Publications: Aedermannsdorf, 1978.