Constitutive Modelling of Granular Materials

1. Front Matter

   Pages I-9

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2. Introductory considerations

   1. The misery of constitutive modelling

      • D. Kolymbas

      Pages 11-24

   2. Does engineering need science?

      • C. Viggiani

      Pages 25-36

   3. The role of models in civil engineering

      • D. Muir Wood

      Pages 37-55

3. Overview of hypoplasticity

   1. Hypoplasticity then and now

      • W. Wu, D. Kolymbas

      Pages 57-105

   2. A review of two different approaches to hypoplasticity

      • C. Tamagnini, G. Viggiani, R. Chambon

      Pages 107-145

   3. Uniqueness, second order work and bifurcation in hypoplasticity

      • R. Chambon

      Pages 147-165

   4. Stationary states in hypoplasticity

      • E. Bauer, I. Herle

      Pages 167-192

4. Generalized continua and microscopic approach

   1. Microscopic approach contributions to constitutive modelling

      • C. Thornton

      Pages 193-208

   2. Discrete and continuum modelling of granular materials

      • H.-B. Mühlhaus, L. Moresi, H. Sakaguchi

      Pages 209-224

   3. 2nd Gradient constitutive models

      • I. Vardoulakis

      Pages 225-248

   4. Micromechanically based higher-order continuum models for granular materials

      • A. S. J. Suiker, R. de Borst, C. S. Chang

      Pages 249-274

   5. Relevant local variables for the change of scale in granular materials

      • B. Cambou, F. Dedecker, M. Chaze

      Pages 275-290

5. Physical aspects

   1. On the physical background of soil strength

      • G. Gudehus

      Pages 291-301

   2. The influence of time derivative terms on the mechanical behaviour of loose sands

      • C. di Prisco, S. Imposimato

      Pages 303-318

   3. An approach to plasticity based on generalised thermodynamics

      • G. T. Houlsby, A. M. Puzrin

      Pages 319-331

6. Comparison of different approaches

   1. Comparison of hypoplastic and elastoplastic modelling of undrained triaxial tests on loose sand

      • I. Herle, T. Doanh, W. Wu

      Pages 333-351

   2. Hypoplastic and elastoplastic modelling — a comparison with test data

      • Th. Marcher, P. A. Vermeer, P.-A. Von Wolffersdorff

      Pages 353-374

   3. Strain response envelope: a complementary tool for evaluating hypoplastic constitutive equations

      • T. Doanh

      Pages 375-396

7. Special models

   1. Modelling weathering effects on the mechanical behaviour of granite

      • R. Nova

      Pages 397-411

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.

• Constitutive
• bifurcation
• civil engineering
• dynamics
• finite element method
• granular material
• materials
• modeling
• plasticity
• thermodynamics

• Institut für Geotechnik und Tunnelbau, Universität Innsbruck, Austria, Innsbruck, Austria

  Dimitrios Kolymbas

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