This book examines the experimental and theoretical aspects of bifurcation analysis as applied to geomechanics. Coverage includes basic continuum mechanics for dry and fluid unfiltrated porous media, bifurcation and stability analyses applied to layered geological media and granular materials, and theories for generalized continua as applied to materials with microstructure and in relation to strain localization phenomena.
'…covers basic concepts, from continuum mechanics to detailed analyses of buckling and interface instabilities, including multilayered and cracked media.' - Civil Engineering
Introduction. Basic concepts from continuum mechanics. Incremental continuum mechanics. Buckling of layered elastic media. Mechanics of water-saturated granular materials. Plasticity theory for granular materials. Bifurcation analysis of element tests. Shear band bifurcation in granular media. Cosserat continuum model for granular materials. Second grade plasticity theory for geomaterials. Stability of undrained deformations. Index.