Abstract
The aim of this chapter is to demonstrate the basic principles of hypoplasticity without the formalism of tensorial operations. Simple 1D scalar hypoplastic models for shear and for compression are introduced first. Subsequently, the model is defined in terms of vectors and, finally, simple tensorial models are introduced as hypoplastic equivalents of the standard elasto-plastic models (Modified Cam-clay model).
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References
Mroz, Z., Norris, V.A., Zienkiewicz, O.C.: An anisotropic hardening model for soils and its application to cyclic loading. Int. J. Numer. Anal. Methods Geomech. 2, 203–221 (1978)
Al-Tabbaa, A., Muir Wood, D.: An experimentally based “bubble” model for clay. In: Proceedings of 3th International Conference on Numerical Models in Geomechanics. Niagara Falls (1989)
Stallebrass, S.E., Taylor, R.N.: Prediction of ground movements in overconsolidated clay. Géotechnique 47(2), 235–253 (1997)
Dafalias, Y.F., Manzari, M.T.: Simple plasticity sand model accounting for fabric change effects. J. Eng. Mech. 130(6), 622–634 (2004)
Niemunis, A., Herle, I.: Hypoplastic model for cohesionless soils with elastic strain range. Mech. Cohesive-Frictional Mater. 2(4), 279–299 (1997)
Butterfield, R.: A natural compression law for soils. Géotechnique 29(4), 469–480 (1979)
Gudehus, G.: A comprehensive constitutive equation for granular materials. Soils Found. 36(1), 1–12 (1996)
von Wolffersdorff, P.A.: A hypoplastic relation for granular materials with a predefined limit state surface. Mech. Cohesive-Frictional Mater. 1(3), 251–271 (1996)
Mašín, D.: A hypoplastic constitutive model for clays. Int. J. Numer. Anal. Methods Geomech. 29(4), 311–336 (2005)
Mašín, D.: Hypoplastic Cam-clay model. Géotechnique 62(6), 549–553 (2012)
Mašín, D.: Clay hypoplasticity with explicitly defined asymptotic states. Acta Geotechnica 8(5), 481–496 (2013)
Mašín, D.: Clay hypoplasticity model including stiffness anisotropy. Géotechnique 64(3), 232–238 (2014)
Roscoe, K.H., Burland, J.B.: On the generalised stress-strain behaviour of wet clay. In: Heyman, J., Leckie, F.A. (eds.) Engineering Plasticity, pp. 535–609. Cambridge University Press, Cambridge (1968)
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Mašín, D. (2019). Simple Scalar and Vectorial Hypoplastic Models. In: Modelling of Soil Behaviour with Hypoplasticity. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-030-03976-9_3
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DOI: https://doi.org/10.1007/978-3-030-03976-9_3
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