Computational Modelling of Multiphase Geomaterials

Computational Modeling of Multiphase Geomaterials discusses how numerical methods play a very important role in geotechnical engineering and in the related activity of computational geotechnics. It shows how numerical methods and constitutive modeling can help predict the behavior of geomaterials such as soil and rock.

After presenting the fundamentals of continuum mechanics, the book explores recent advances in the use of modeling and numerical methods for multiphase geomaterial applications. The authors describe the constitutive modeling of soils for rate-dependent behavior, strain localization, multiphase theory, and applications in the context of large deformations. They also emphasize viscoplasticity and water–soil coupling.

Drawing on the authors’ well-regarded work in the field, this book provides you with the knowledge and tools to tackle problems in geomechanics. It gives you a comprehensive understanding of how to apply continuum mechanics, constitutive modeling, finite element analysis, and numerical methods to predict the behavior of soil and rock.

Fusao Oka is a professor in the Department of Civil and Earth Resources Engineering at Kyoto University.
Sayuri Kimoto is an associate professor in the Department of Civil and Earth Resources Engineering at Kyoto University.

Fundamentals in Continuum MechanicsMotion Strain and strain rateChanges in area Deformation rate tensor Stress and stress rateConservation of mass Balance of linear momentum Balance of angular momentum and the symmetry of the stress tensor Balance of energy Entropy production and Clausius–Duhem inequality Constitutive equation and objectivity

Governing Equations for Multiphase GeomaterialsGoverning equations for fluid–solid two-phase materialsGoverning equations for gas–water–solid three-phase materialsGoverning equations for unsaturated soil

Fundamental Constitutive EquationsElastic body Newtonian viscous fluid Bingham body and viscoplastic body von Mises plastic body Viscoelastic constitutive modelsElastoplastic modelOverstress type of elastoviscoplasticityElastoviscoplastic model based on stress history tensorOther viscoplastic and viscoelastic-plastic theories Cyclic plasticity and viscoplasticity Dissipation and the yield functions

Failure Conditions and the Cam-Clay ModelIntroduction Failure criteria for soilsCam-clay model

Elastoviscoplastic Modeling of SoilRate-dependent and time-dependent behavior of soilViscoelastic constitutive models Elastoviscoplastic constitutive modelsMicrorheology models for clay Adachi and Oka’s viscoplastic modelExtended viscoplastic model considering stress ratio-dependent softening Elastoviscoplastic model for cohesive soil considering degradationApplication to natural clayCyclic elastoviscoplastic model

Virtual Work Theorem and Finite Element MethodVirtual work theoremFinite element methodDynamic problemDynamic analysis of water-saturated soilFinite deformation analysis for fluid–solid two-phase mixtures

Consolidation AnalysisConsolidation behavior of clays Consolidation analysis: small strain analysisConsolidation analysis with a model considering structural degradationConsolidation analysis of clay foundationConsolidation analysis considering construction of the embankment

Strain LocalizationStrain localization problems in geomechanics Localization analysis Instability of geomaterials Noncoaxiality Current stress-dependent characteristics and anisotropyRegularization of ill-posednessInstability and effects of the transport of pore waterTwo-dimensional finite element analysis using elastoviscoplastic modelThree-dimensional strain localization analysis of water-saturated clayApplication to bearing capacity and earth pressure problems Summary

Liquefaction Analysis of Sandy GroundIntroduction Cyclic constitutive models Cyclic elastoplastic model for sand with a generalized flow rulePerformance of the cyclic model Liquefaction analysis of a liquefiable groundNumerical analysis of the dynamic behavior of a pile foundation considering liquefaction

Recent Advances in Computational GeomechanicsThermo-hydro-mechanical coupled finite element methodSeepage-deformation coupled analysis of unsaturated river embankment using multiphase elastoviscoplastic theory

Index

References appear at the end of each chapter.