Advanced Mathematical and Computational Geomechanics

1. Front Matter

   Pages I-XVI

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2. Material Modelling

   1. Front Matter

      Pages 1-1

      PDF

   2. On thermodynamic modeling and the role of the second law of thermodynamics in geophysics

      • Krzysztof Wilmanski

      Pages 3-33

   3. Some mathematics for the constitutive modelling of soils

      • Guy T. Houlsby

      Pages 35-53

   4. Elasticity in constitutive modeling of soils

      • Alexander M. Puzrin

      Pages 55-75

   5. Experimental characterization of localized deformation in geomaterials

      • Jacques Desrues

      Pages 77-106

   6. Discontinuous character of rock masses: some open questions related to rock fracture mechanics and scale effects

      • Marta Castelli, Valeria Saetta, Claudio Scavia

      Pages 107-139

   7. Similarity in soil and rock mechanics

      • Dimitrios Kolymbas

      Pages 141-164

3. Modelling of Boundary Value Problems

   1. Front Matter

      Pages 165-165

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   2. Numerical predictions and reality

      • Ivo Herle

      Pages 167-194

   3. Objective integration and geometric properties of hypoplasticity

      • Wolfgang Fellin, Alexander Osterman

      Pages 195-210

   4. Using constitutive models of the rate type in implicit finite-element calculations: error-controlled stress update and consistent tangent operator

      • Wolfgang Fellin, Alexander Ostermann

      Pages 211-237

   5. Efficient and Reliable Nonlocal Damage Models

      • Antonio Huerta, Antonio Rodríguez-Ferran, Irene Morata

      Pages 239-268

   6. Regularized formulations of strain-softening plasticity

      • Milan Jirásek, Simon Rolshoven

      Pages 269-299

   7. Fuzzy data in geotechnical models

      • Michael Oberguggenberger

      Pages 301-315

Geomechanics is the mechanics of geomaterials, i.e. soils and rocks, and deals with fascinating problems such as settlements, stability of excavations, tunnels and offshore platforms, landslides, earthquakes and liquefaction. This edited book presents recent mathematical and computational tools and models to describe and simulate such problems in Geomechanics and Geotechnical Engineering. It includes a collection of contributions emanating from the three Euroconferences GeoMath ("Mathematical Methods in Geomechanics") that were held between 2000 and 2002 in Innsbruck/Austria and Horto/Greece.                                                                                                                                                                                                                                                        

• Fuzzy
• Geomaterials
• Geomechanics
• Geotechnical Engineering
• Mechanics of Geomaterials
• Operator
• geophysics
• mechanics
• modeling
• plasticity
• rock mechanics
• thermodynamics

• Institute for Geotechnical and Tunnel Engineering, University of Innsbruck, Innsbruck, Austria

  Dimitrios Kolymbas

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