Abstract
In this chapter, constitutive models as mathematical expressions describing mechanical behaviour of soils are introduced. They are classified based on the concept of incremental non-linearity (dependency of tangent stiffness on loading direction), with the aid of response envelope graphical representation. The classification is the best at highlighting the differences between hypoplasticity and the more common elasto-plastic modelling approaches.
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Truesdell, C., Noll, W.: The Non-Linear Field Theories of Mechanics. Springer, Berlin (1965)
Gudehus, G.: A comparison of some constitutive laws for soils under radially symmetric loading and unloading. In: Proceedings of 3rd International Conference on Numerical Methods in Geomechanics, pp. 1309–1323. Aachen (1979)
Gudehus, G., Mašín, D.: Graphical representation of constitutive equations. Géotechnique 59(2), 147–151 (2009)
Darve, F.: The expression of rheological laws in incremental form and the main classes of constitutive equations. In: Darve, F. (ed.) Geomaterials: Constitutive Equations and Modelling, pp. 123–148. Elsevier (1990)
Tamagnini, C., Viggiani, G.: Constitutive modelling for rate-independent soils: a review. Revue Française de Génie Civil 6(6), 933–974 (2002)
Houlsby, G.T., Puzrin, A.M.: Principles of Hyperplasticity: An Approach to Plasticity Theory Based on Thermodynamic Principles. Springer-Verlag, London Limited, London (2006)
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)
Mašín, D.: Hypoplastic Cam-clay model. Géotechnique 62(6), 549–553 (2012)
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Mašín, D. (2019). Introduction. 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_1
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DOI: https://doi.org/10.1007/978-3-030-03976-9_1
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