Structure and calibration of constitutive equations for granular soils

• Autorzy: Sawicki A. , Sławińska J. , Mierczyński J.

Identyfikatory

DOI

10.2478/sgem-2014-0034

• Języki publikacji: EN

Abstrakty

EN

The form of incremental constitutive equations for granular soils is discussed for the triaxial configuration. The classical elasto-plastic approach and the semi-empirical model are discussed on the basis of constitutive relations determined directly from experimental data. First, the general structure of elasto-plastic constitutive equations is presented. Then, the structure of semiempirical constitutive equations is described, and a method of calibrating the model is presented. This calibration method is based on a single experiment, performed in the triaxial apparatus, which also involves a partial verification of the model, on an atypical stress path. The model is shown to give reasonable predictions. An important feature of the semi-empirical incremental model is the definition of loading and unloading, which is different from that assumed in elasto-plasticity. This definition distinguishes between spherical and deviatoric loading/unloading. The definition of deviatoric loading/unloading has been subject to some criticism. It was therefore discussed and clarified in this paper on the basis of the experiment presented.

Słowa kluczowe

EN

granular soil; constitutive equations; triaxial conditions; pre-failure deformations

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2014
• Tom: Vol. 36, nr 4
• Strony: 35--46
• Opis fizyczny: Bibliogr. 11 poz., tab., rys.

Twórcy

autor

Sawicki A.

• Institute of Hydro-Engineering IBW PAN, ul. Kościerska 7, 80-328 Gdańsk, Poland

autor

Sławińska J.

• Institute of Hydro-Engineering IBW PAN, ul. Kościerska 7, 80-328 Gdańsk, Poland

autor

Mierczyński J.

• Institute of Hydro-Engineering IBW PAN, ul. Kościerska 7, 80-328 Gdańsk, Poland

Bibliografia

• [1] ATKINSON J.H., An Introduction to the Mechanics of Soil and Foundations, McGraw-Hill, London 1993.
• [2] BAZANT Z.P., KRIZEK R.J., Endochronic constitutive law for liquefaction with cyclic loads, Proc. ASCE, J. Engrg. Mech. Div., 1976, 102, EM2, 225–238.
• [3] GUDEHUS G., A comprehensive constitutive equation for granular materials, Soils and Foundations, 1996, 36, No. 1, 1–12.
• [4] KOLYMBAS D., Introduction to Hypoplasticity, Advances in Geotechnical Engineering and Tunnelling, Balkema, Rotterdam/ Brookfield 2000.
• [5] SAADA A., BIANCHINI G. (eds.), Constitutive equations for granular non-cohesive soils, Proc. Int. Workshop, Cleveland, Balkema, Rotterdam/Brookfield 1987.
• [6] SAWICKI A., Zarys mechaniki gruntów sypkich, IBW PAN, Gdańsk 2012.
• [7] SAWICKI A., The puzzle of liquefaction, IBW PAN, Gdańsk 2014.
• [8] SAWICKI A., ŚWIDZIŃSKI W., Stress-strain relations for dry and saturated sands, Part I: Incremental model, J. Theoretical and Applied Mechanics, 2010a, 48, 2, 309–328.
• [9] SAWICKI A., ŚWIDZIŃSKI W., Stress-strain relations for dry and saturated sands, Part II: Predictions, J. Theoretical and Applied Mechanics, 2010b, 48, 2, 329-373.
• [10] VALANIS K.C., An Endochronic Geomechanical Model For Soils, [in:] Deformation and Failure of Granular Materials, (ed. P.A. Vermeer, H.J. Luger), A. A. Balkema, Rotterdam 1082, 159–165.
• [11] WOOD D.M., Soil Behaviour and Critical State Soil Mechanics, Cambridge University Press, Cambridge 1990.