Constitutive Modelling of Granular Materials

In view of its extreme complexity the mathematical description of the mechanical behaviour of granular materials is an extremely difficult task. Today many different models compete with each other. However, the complexity of the models hinders their comparison, and the potential users are confused and, often, disencouraged. This book is expected to serve as a milestone in the present situation, to evaluate the present methodes, to clear up the situation, to focus and encourage for further research activities.

Reports the state of the art of the modelling of the mechanical behavior of granular and geomaterials Many applications in civil engineering as well as in process or chemical engineering Comprises contributions of the worlds leading experts Includes supplementary material: sn.pub/extras

Autorentext
Professor Dimitrios Kolymbas studierte Bauingenieurwesen an der Universität Karlsruhe, wo er am Institut für Boden- und Felsmechanik promovierte und sich habilitierte. Seit 1994 ist er Professor für Geotechnik und Tunnelbau an der Universität Innsbruck.

Inhalt
Introductory considerations.- The misery of constitutive modelling.- Does engineering need science?.- The role of models in civil engineering.- Overview of hypoplasticity.- Hypoplasticity then and now.- A review of two different approaches to hypoplasticity.- Uniqueness, second order work and bifurcation in hypoplasticity.- Stationary states in hypoplasticity.- Generalized continua and microscopic approach.- Microscopic approach contributions to constitutive modelling..- Discrete and continuum modelling of granular materials.- 2nd Gradient constitutive models.- Micro-mechanically based higher-order continuum models for granular materials.- Relevant local variables for the change of scale in granular materials.- Physical aspects.- On the physical background of soil strength.- The influence of time derivative terras on the mechanical behaviour of loose sands.- An approach to plasticity based on generalised thermodynamics.- Comparison of different approaches.- Comparison of hypoplastic and elastoplastic modelling of undrained triaxial tests on loose sand.- Hypoplastic and elastoplastic modelling a comparison with test data.- Strain response envelope: a complementary tool for evaluating hypoplastic constitutive equations.- Special models.- Modelling weathering effects on the mechanical behaviour of granite.- A plasticity-based constitutive model for natural soils: a hierarchical approach.- Experimental bases for a new incremental non-linear constitutive relation with 5 parameters.- Numerical applications.- Implicit integration of hypoplastic models.- Soil-water coupling analysis of progressive failure in cuts with a strain softening model.- Advances in modelling soil anisotropy.- Examples of finite element calculations with the hypoplastic law.- Hypoplastic simulationof complex loading paths.