Advanced Mathematical and Computational Geomechanics

I Material Modelling.- On thermodynamic modeling and the role of the second law of thermodynamics in geophysics.- Some mathematics for the constitutive modelling of soils.- Elasticity in constitutive modeling of soils.- Experimental characterization of localized deformation in geomaterials.- Discontinuous character of rock masses: some open questions related to rock fracture mechanics and scale effects.- Similarity in soil and rock mechanics.- II Modelling of Boundary Value Problems.- Numerical predictions and reality.- Objective integration and geometric properties of hypoplasticity.- Using constitutive models of the rate type in implicit finite-element calculations: error-controlled stress update and consistent tangent operator.- Efficient and Reliable Nonlocal Damage Models.- Regularized formulations of strain-softening plasticity.- Fuzzy data in geotechnical models.