Bifurcation Analysis in Geomechanics
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.
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2 Basic concepts from continuum mechanics
3 Incremental continuum mechanics
4 Buckling of layered elastic media
5 Mechanics of watersaturated granular materials
6 Plasticity theory for granular materials
7 Bifurcation analysis of element tests
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Accordingly Aifantis angle antisymmetric assumed behavior biaxial tests bifurcation analysis boundary conditions buckling Cauchy stress tensor classical compatibility conditions computed configuration confining pressure considered constant constitutive equations constitutive model corresponding Cosserat continuum couple stresses crack Darcy’s law defined density deviatoric displacement field effective stress elastic elastoplastic equilibrium experimental expression flow rule flow theory fluid friction and dilatancy function geomaterials grain granular materials granular media half-space hardening homogeneous infinitesimal initial stress intergranular isotropic Jaumann kinematic Kirchhoff stress layer linear loading localization material length Mech medium mobilized friction non-associative normal observe parameter plane plane-strain pore-water pressure porosity rectilinear deformation regime rotation sand second-order shear band shear modulus shear strain shear stress shear-band thickness softening soil mechanics solid solution specimen spin tensor stability stiffness tensor strain tensor stress increment stress path stress space stress-strain symmetric theory of plasticity tractions undrained Vardoulakis vector velocity volume wavelength yield surface