Advanced Mathematical and Computational Geomechanics

Description

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. Front Matter....Pages I-XVI Front Matter....Pages 1-1 On thermodynamic modeling and the role of the second law of thermodynamics in geophysics....Pages 3-33 Some mathematics for the constitutive modelling of soils....Pages 35-53 Elasticity in constitutive modeling of soils....Pages 55-75 Experimental characterization of localized deformation in geomaterials....Pages 77-106 Discontinuous character of rock masses: some open questions related to rock fracture mechanics and scale effects....Pages 107-139 Similarity in soil and rock mechanics....Pages 141-164 Front Matter....Pages 165-165 Numerical predictions and reality....Pages 167-194 Objective integration and geometric properties of hypoplasticity....Pages 195-210 Using constitutive models of the rate type in implicit finite-element calculations: error-controlled stress update and consistent tangent operator....Pages 211-237 Efficient and Reliable Nonlocal Damage Models....Pages 239-268 Regularized formulations of strain-softening plasticity....Pages 269-299 Fuzzy data in geotechnical models....Pages 301-315