This book explains the hypoplastic modelling framework. It is divided into two parts the first
of which is devoted to principles of hypoplasticity. First the basic features of soil's
mechanical behaviour are introduced namely non-linearity and asymptotic properties. These
features are then incorporated into simple one-dimensional hypoplastic equations for
compression and shear. Subsequently a hypoplastic equivalent of the Modified Cam-Clay model is
developed in 2D space using stress and strain invariants to demonstrate key similarities and
differences between elasto-plastic and hypoplastic formulations. Lastly the mathematical
structure of hypoplastic models is explained by tracing their historical development from the
early trial-and-error models to more recent approaches. In turn Part II introduces specific
hypoplastic models for soils. First two reference models for sand and clay are defined. After
summarising their mathematical formulations calibration proceduresare described and discussed.
Subsequently more advanced modelling approaches are covered: the intergranular strain concept
incorporating the effects of small strain stiffness and cyclic loading viscohypoplasticity for
predicting rate effects soil structure to represent structured and bonded materials and soil
anisotropy. The book concludes with a description of partial saturation and thermal effects:
topics that are increasingly important to the disciplines of energy and environmental
geotechnics.Selecting a constitutive model and its parameters is often the most important and
yet challenging part of any numerical analysis in geotechnical engineering. Hypoplasticity
involves a specific class of soil constitutive models which are described in detail here. The
book offers an essential resource both for model users who need a more advanced model for
their geotechnical calculations and are mainly interested in parameter calibration procedures
and for model developers who are seeking a comprehensive understanding of the mathematical
structure of hypoplasticity.
