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 materals.
Bifurcation analysis for a rate-sensitive, non-associative, three-invariant, isotropic/kinematic hardening cap plasticity model for geomaterials: Part I. Small strain. International Journal for Numerical and Analytical Methods in Geomechanics 2011; 35:201-225. doi:10.1002/nag.907....
In the second part, the analysis is extended to the boundary-value problems in quasi-static conditions. Nonlinear finite element computations are performed and the global tangent stiffness matrix is analyzed. For several examples, the eigenvector associated with the first vanishing eigenvalue of the ...
The performance of the particle swarm optimization method is tested through numerical bifurcation analysis on both small and finite deformation material models in computational inelasticity with increasing complexity. Compared with conventional numerical approaches to detect material bifurcation, the proposed ...
Bifurcation analysis for sand samples with a non-linear constitutive equation[J] . D. Kolymbas.Ingenieur-Archiv . 1981 (2)D. Kolymbas, Bifurcation analysis for sand samples with a non-linear constitutive equation, Ingenieur-Archiv 50 (1981) 131-140....
Simplified bifurcation analysis of deep boreholes in rocks with microstructuredoi:10.1016/0148-9062(90)91471-IInternational Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts
Bifurcation analysis of deep boreholes:Ⅰ.Surface instabilities[J].International Journal for Numerical and Analytical Methods in Geomechanics,1988,(04):379-399.Vardoulakis I G,Papanastasiou P C.Bifurcation analysis of deep boreholes:I.Surface instabilities.InternationalJournal for Numerical ...
Internal geometric constraints are imposed by the particles'' shapes, in particular, by the surface curvatures of the particles at their points of contact. Moreover, the stiffness relationship is incrementally nonlinear, and even small assemblies require the analysis of multiple stiffness branches, ...
The application of the model to real cases shows that this bifurcation analysis is in good agreement with experimental and field observations.doi:10.1016/0148-9062(88)92298-XI. G. VardoulakisJ. SulemA. GuenotElsevier LtdInternational Journal of Rock Mechanics & Mining Sciences & Geomechanics ...
It incorporates contributions on topics like instability analysis, localized and diffuse failure description, multi-scale modeling and applications to geo-environmental issues.This book will be valuable for anyone interested in the research on degradation and instabilities in geomechanics and geotechnical ...