Abstract
The paper presents the historical development of fundamental concepts related to the modelling of the non-linear and irreversible behaviour of soils. The concepts of failure, flow rule, successive yield surfaces and hardening rules are recalled. The original Granta Gravel and Cam Clay models are presented and discussed. The basic structure of the work-hardening model of Lade is sketched. The strain-hardening model of Nova and Wood, together with its successive modifications, is described in greater detail and numerous comparisons between experimental data and theoretical predictions are shown.
This paper is written within the framework of DIGA network (supported by the European Commission under contract n. HPRN-CT2002-00220) and ALERT Geomaterials.
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References
Baldi G., Nova R. (1983) Effetti della penetrazione della membrana in prove di liquefazione R. 15° Cong. Naz. Geotecnica, Spoleto, 1, 3–12.
Borsetto M., Imperato L., Nova R., Peano A. (1983) Effects of pressuremeter of finite length in soft clay. Proc. Int. conf. ‘In Situ Testing’ Paris, 2, 211–215.
Botti E., Canetta G., Nova R., Peduzzi R. (1988) An application of a strain hardening model to the design of tunnels in sand. Proc. 6th ICONMIG, Innsbruck, 3, 1641–1646.
Boussinesq J. (1885) Applications des potentielles a 1’etude de 1’equilibre et du mouvement des solides elastiques. Gauthier-Villars, Paris.
Britto A. M., Gunn M. J. (1987) Critical State Soil Mechanics via Finite elements. Ellis Horwood.
Burland J. B. (1967) Deformation of soft clay. Ph. D., Thesis, University of Cambridge.
Castro G. (1969) Liquefaction of sand. Harvard SM Series N. 81
Cerruti V. (1882) Rend. Accademia Lincei Mem. Fis. Mat.
Cole E. R. (1967) Soils in the simple shear apparatus. Ph. D. Thesis University of Cambridge.
Coulomb A. (1976) Essai sur une application des règles des maximis et minimis a quelques problèmes de statique relatifs a l’architecture. Mem. de Mat. et de Phys. 7, 1773, 343–382, Paris.
Drucker D. C., Gibson R. E., Henkel D. J. (1957) Soil Mechanics and workhardening theories of plasticity. Trans. ASCE, 122, 338–346.
Drucker D. C., Prager W. (1952) Soil mechanics and plastic analysis or limit design. Quart. App. Math. 10, 2, 157–165.
El-Sohby M. A. (1964) The behaviour of particulate materials under stress. Ph. D. Thesis, University of Manchester.
Gens A., Potts D. M. (1988) Critical state models in computational geomechanics Eng. Comp. 5, 178–197.
Gudehus G., Darve F., Vardoulakis I. (1984) Constitutive modelling of soil behaviour. Proc. Grenoble Workshop, September 1982, Balkema.
Holubec I. (1966) The yielding of cohesionless soils. Ph. D. thesis, University of Waterloo.
Ishihara K., Tatsuoka F., Yasuda S. (1975) Undrained deformation and liquefaction of sand under cyclic stresses. Soils and Foundations 15, 1, 29–44.
Jamiolkowski M., Lancellotta R., Marchetti S., Nova R., Pasqualini E., (1979) General report design parameters for soft clay, 7 ECSMFE, Brighton, State of the art volume 1–39.
Kelvin Lord, (Thomson W.) (1855) Quart J. of Math.
Kim M. K., Lade P. V. (1988) Single hardening constitutive model for frictional materials I. Plastic potential function. Computers and Geotechnics, 5, 4, 397–324.
Lade P. V. (1977) Elastoplastic stress-strain theory for cohesionless soil with curved yield surfaces. Int. J. Solids abd Structures, 13, 1019–1035.
Lade P. V. (1988) Double hardening constitutive model for soils parameter determination and predictions for two sands. Proc. Cleveland Workshop Constitutive Equations for Granular Non-Cohesive Soils, 367–382.
Lade P. V., Nelson R. B. (1987) Modelling the elastic behaviour of granular materials. Int. J. Num. An. Meth. Geom., 11, 5, 521–542.
Lade P. V., Kim M. K. (1988) Single hardening constitutive model for frictional materials II. Yield criterion and plastic work contours. Computers and Geotechnics, 6, 1, 13–30.
Lade P. V., Kim M. K. (1988) Single hardening constitutive model for frictional materials III. Comparison with experimental data. Computers and Geotechnics, 6, 1, 31–48.
Lode W. (1926) Versuche uber den Einfluss der mittleren Hauptspannung auf das Fliessen der Metalle Eisen, Kupfer and Nickel, 2, Physik 36, 913–939.
Matsuoka H., Nakai T. (1974) Stress deformation and strength characteristics under three different principal stresses. Proc. JSCE 232, 59–70.
Matsuoka H., Nakai T. (1982) A new failure condition for soils in three-dimensional stresses. Proc. IUTAM conf. Deformation and Failure of Granular Materials, Delft, 253–263.
Mises R. von (1913) Mechanik der festen Korper in plastisch deformablen Zustand. Gottinger Nachrichten, Math. Phys. Kl. 582–592.
Mroz W. (1967) On the description of anisotropic work hardening. I. J. Mech. Phys. Solids 15, 163–175.
Namy D. (1970) An investigation of certain aspects of stress strain for clay soils. Ph. D. thesis, Cornell University.
Nova R. (1977) On the hardening of soils. Archiv. Mech. Stos. 29, 3, 445–458.
Nova R. (1982) A model of soil behaviour in plastic and hysteretic ranges. Part I–monotonic loading. Proc. Int. workshop ‘Constitutive modelling of soils behaviour’ Villard de Lans, published 1984, 289–309.
Nova R. (1988) Sinfonietta classica: an exercise on classical soil modelling. Proc. Symp. Constitutive Equations for Granular non-cohesive soils, Cleveland.
Nova R., Hueckel T. (1980) A geotechnical stress variables approach to cyclic behaviour of soils. Proc. Behaviour of soils under cyclic and transient loading. Swansea, 1, 301–314.
Nova R., Hueckel T. (1981) A unified approach to the modelling of liquefaction and cyclic mobility. Soils and Foundations 21, 13–28.
Nova R., Wood D. M. (1978) An experimental programme to define the yield function for sand. Soils and Foundations 18, 4, 77–86.
Nova R., Wood D. M. (1979) A constitutive model for sand in triaxial compression. I. J. Num: Anal. Meth. Geomech. 3, 3, 255–278.
Poorooshasb H. B. (1971) Deformation of sand in triaxial compression. 4th Asian Reg. Conf on Soil Mech., Bangkok, 1, 63–66.
Poorooshasb H. B., Holubec I., Sherbourne A. N. (1966) Yielding and flow of sand in triaxial compression. (Part I), Can Geotech. J 3, 4, 179–190.
Poorooshasb H. B., Holubec I., Sherbourne A. N. (1967) Yielding and flow of sand in triaxial compression. (Parts II and III), Can Geotech. J. 4, 4, 376–397.
Poulos H. G., Davis E. H (1974) Elastic solutions for soil and rock mechanics. Wiley.
Rendulic L. (1937) Ein Grundgesetz der Tonmechanik and sein experimenteller Beweis. Bauingenieur, 18, 459–467.
Roscoe K. H., Schofield N. A., Wroth C. P (1958) On the yielding of soils. Geotechnique, 8, 22–53.
Rowe P. W. (1962) The stress dilatancy relation for static equilibrium of an assembly of particles in contact. Proc. Roy. Soc., A269, 500–527.
Saada A., Bianchini G. (1988) Constitutive equations for granular non cohesive soils. Proc. Int. Workshop, Cleveland 22–24 July 1987, Balkema.
Schofield N. A., Wroth C. P (1968) Critical State Soil Mechanics. McGraw-Hill, London.
Stroud M. A. (1971) The behaviour of sand at low stress levels in the simple shear apparatus. Ph. D., Thesis. University of Cambridge.
Vesic A. S., Clough G. V. (1968) Behaviour of granular materials under high stresses. J. Soil Mech. Found. Div., Proc. ASCE, 94, SM3, 661–688.
Taylor G. I., Quinney H. (1931) The plastic distortion of metals. Phil. Trans. Roy. Soc. A, 230, 323–362.
Terzaghi K. (1923) Die berechnung der Durchlassigkeitsziffer des Tones aus dem Verlauf der Hydrodynamischen Spannungsuscheinungen. Akad. Der Wissens. Wien, Math. -naturwiss. kl. Part. IIa, 132, 3 /4 125–138.
Terzaghi K. (1925) Erdbaumechanik auf Bodenphysicalischer Grundlage. Vienna, Denticke.
Tresca H. (1868) Memoire sur l’ecoulement des corps solides. Mem. Pres par div. Savants 18, 733–799.
Vermeer P. A. (1978) A double hardening model for sand. Géotechnique 28, 4, 413–433.
Wroth C. P. (1977) The predicted performance of a soft clay under a trial embankment loading based on the Cam Clay model. in Finite Elements in Geomechanics. G. Gudehus Editor, CH 6, Wiley.
Zienkiewicz O. C., Humpheson C., Lewis R. W. (1975) Associated and non-associated viscoplasticity and plasticity in Soil Mechanics. Géotechnique 25, 4, 671–689.
Zytynsky M., Randolph M. F., Nova R., Wroth C. P. (1978) On modelling the unloading-reloading behaviour of soils. I. J. Num. Anal. Meth. Geomech. 2, 87–94.
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Nova, R. (2004). Development of Elastoplastic Strain Hardening Models of Soil Behaviour. In: Darve, F., Vardoulakis, I. (eds) Degradations and Instabilities in Geomaterials. International Centre for Mechanical Sciences, vol 461. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2768-1_2
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DOI: https://doi.org/10.1007/978-3-7091-2768-1_2
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