Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The plane strain behaviour of sand is studied using, previously proposed, incremental model describing its pre-failure deformations. Original model has been formulated for the tri-axial configuration, and then generalized for 3D conditions. This 3D model was subsequently adapted to study deformations of sand in the plane strain conditions, in the x1, x3 plane. There are three unknowns in such a configuration, namely the principal strains ε1 , ε3 and the principal stress σ2. Respective equations were derived, and then applied to study deformations of sand for chosen stress paths. The governing incremental equations were integrated numerically, and it was shown, for some loading paths, that σ2 depends linearly on the other principal stresses, so introduction of apparent Poisson's ratio is justified, as a kind of approximation. Subsequent analysis of deformations of sand was performed using this concept, as well as using full system of governing equations.
Słowa kluczowe
Rocznik
Tom
Strony
85--100
Opis fizyczny
Bibliogr. 27 poz., il.
Twórcy
autor
autor
- Institute of Hydro-Engineering, Polish Academy of Sciences, ul. Kościerska 7, 80-328 Gdańsk, Poland, as@ibwpan.gda.pl
Bibliografia
- 1. Alshibli A. K., Godbold D. L. and Hoffman K. (2004) The Lousiana plane state apparatus for soil testing, Geotechnical Testing Jnl, 27 (4), 1–10.
- 2. Chen W. F. (1975) Limit Analysis and Soil Plasticity, Elsevier, Amsterdam.
- 3. Chu J. andWanatowski D. (2009) Effect of loading mode on strain softening and instability behavior of sand in plane-strain tests, Jnl Geotechnical & Geoenvironmental Eng., ASCE, 135 (1), 108–120.
- 4. Darve F., Servant G., Laouafa F. and Khoa H. D. V. (2004) Failure in geomaterials: continuous and discrete analyses, Computer Methods in Applied Mechanics & Engineering, 193, 3057–3085.
- 5. Derski W., Izbicki R., Kisiel I. and Mróz Z. (1988) Rock and Soil Mechanics, PWN/Elsevier, Warszawa/Amsterdam/Oxford/New York/Tokyo.
- 6. Drescher A., Vardoulakis I. and Han C. (1990) A biaxial apparatus for testing soils, Geotechnical Testing Jnl, 13 (3), 226–234.
- 7. Finno R., HarrisW.W., Mooney M. A. and Viggiani G. (1997) Shear bands in plane strain compression of loose sand, Geotechnique, 47 (1), 149–165.
- 8. Gudehus G. (2011) Physical Soil Mechanics, Springer, Heidelberg/Dordrecht/London/New York.
- 9. Han C. and Vardoulakis I. (1991) Plane-strain compression experiments on water-saturated fine-grained sand, Geotechnique, 41 (1), 49–78.
- 10. Hettler A. and Vardoulakis I. (1984) Behaviour of dry sand tested in a large triaxial apparatus, Geotechnique, 34 (2), 183–198.
- 11. Jefferies M. and Been K. (2006) Soil Liquefaction, Taylor & Francis, London/New York.
- 12. Kolymbas D. (Ed.) (2000) Constitutive Modelling of Granular Materials, Springer, Berlin.
- 13. Lade P. V. and Yamamuro J. A. (Eds) (1999) Physics and Mechanics of Soil Liquefaction, Balkema, Rotterdam/Brookfield.
- 14. Lee K. L. (1970) Comparison of plane strain and triaxial tests on sand, Jnl Soil Mech. Found. Div., ASCE, 96 (3), 901–923.
- 15. Lewis R. W. and Schrefler B. A. (1998) The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media, J. Wiley & Sons, Chichester.
- 16. Marachi N. D., Duncan J. M., Chan C. K. and Seed H. B. (1981) Plane-strain testing of sands, [in:] Laboratory Shear Strength of Soils, ASTM STP 740, ASTM, Philadelphia, 294–302.
- 17. Saada A. and Bianchini G. (Eds) (1989) Constitutive Equations for Granular Non-Cohesive Soils, Balkema, Rotterdam/Brookfield.
- 18. Sawicki A. (2008) 3D and 2D formulations of incremental stress-strain relations for granular soils, Archives of Hydro-Engineering & Environmental Mechanics, 55 (1–2), 45–53.
- 19. Sawicki A. and Swidzinski W. (2010a) Stress-strain relations for dry and saturated sands. Part I: Incremental model, Jnl Theoretical & Applied Mechanics, 48 (2),
- 20. Sawicki A. and Swidzinski W. (2010b) Stress-strain relations for dry and saturated sands. Part II: Predictions, Jnl Theoretical & Applied Mechanics, 48 (2),
- 21. Sawicki A. and Swidzinski W. (2010c) Modelling the pre-failure instabilities of sand, Computers & Geotechnics, 37, 781–788.
- 22. Schofield A. N. and Wroth C. P. (1968) Critical State Soil Mechanics, McGraw-Hill, London.
- 23. Tatsuoka F., Sakamoto M., Kawamura T. and Fukushima S. (1986) Strength and deformation characteristics of sand in plane strain compression at extremely low pressures, Soils & Foundations, 26 (1), 65–84.
- 24. Timoshenko S. and Goodier J. N. (1951) Theory of Elasticity, McGraw-Hill Book Company, New York/Toronto/London.
- 25. Wanatowski D. and Chu J. (2006) Stress-strain behavior of a granular fill measured by a new plane-strain apparatus, Geotechnical Testing Journal, 29 (2), 1–9.
- 26. Wood D. M. (1990) Soil Behaviour and Critical States Soil Mechanics, Cambridge University Press.
- 27. Zienkiewicz O., Chan A., Pastor M., Schrefler B. and Simoni T. (1999) Computational Geomechanics with Special Reference to Earthquake Engineering, J. Wiley & Sons, Chichester.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BATA-0019-0024