Bifurcations and Instabilities in Geomechanics

J.F. Labuz and A. Drescher, both of the University of Minnesota, Minneapolis MN, USA.

• Preface 1. Critical states and bifurcation conditions, The failure concept in soil mechanics revisited, On bifurcation and instability due to softening, Compaction bands in porous rock, Further remarks on well-posedness within hypoplasticity for granular materials, 2. Instabilities and discrete systems, Material instability with stress localization, Continuous and discrete modeling of failure modes in geomechanics, Fluctuations and instabilities in granular materials Avalanche instability and friction mobilization: a two-phase stability limit 3. Modeling and localization. Shear bands in soil deformation processes, Modeling of localization in granular materials: effect of porosity and particle Size, FE-studies on formation of shear zones in granular bodies within a polar Hypoplasticity Constitutive modelling of granular materials with focus to microstructure and its effect on strain localization Influence of an initially transverse isotropy on shear banding in granular Materials 4. Experimental studies Recent progress in experimental studies on instability of granular soil Shear band displacements and void ratio evolution to critical states in dilative Sands Plane strain compression of sandstone under low confinement 5. Non-local models and coupled effects On the continuous and discontinuous approaches for simulating localized damage Instability and strain localization of water-saturated clay based on an elasto- viscoplastic model Adaptive computation of localization phenomena in geotechnical applications