Constitutive Modelling of Granular Materials

ISBN-13: 9783642631153 / Angielski / Miękka / 2012 / 554 str.

Dimitrios Kolymbas

Opis

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.

Spis treści

The misery of constitutive modelling; Does engineering need science; The role of models in civil engineering; Hypoplasticity then and now; A review of two different approaches to hypoplasticity; Uniqueness, second order work and bifurcation in hypoplasticity; Stationary states in hypoplasticity; 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; On the physical background of soil strength; The influence of time derivative terms on the mechanical behaviour of loose sands; An approach to plasticity based on generalised thermodynamics; Comparison of hypoplasticity 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; Modelling wathering 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; Implicit integration of hypoplastic models; Soil-water coupling analysis of progressive failure in cuts with a strain softening model; Advances in modelling soil anisotropy; Exemples of finite element calculations with the hypoplastic law; Hypoplastic simulation of complex loading paths.

O autorze

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.

Blurb

Constitutive models are the key-stone not only for understanding the mechanical behaviour of granular materials (mainly soils but also other granulates such as sugar, wheat, coal, pellets) but also for carrying out numerical predictions by means of the finite elements method. However the extreme complexity of the behaviour of granular materials gave rise to confusing multiplicity of hardy tractable constitutive models proposed so far. the present book comprises a selection of the state-of the-art contributions of world-wide leading specialists with the aim to evaluate, specify and re-assess the present achievements as well as to point on needs for future research.