1st Edition

Computational Modeling of Multiphase Geomaterials

By Fusao Oka, Sayuri Kimoto Copyright 2013
    410 Pages 180 B/W Illustrations
    by CRC Press

    410 Pages 180 B/W Illustrations
    by CRC Press

    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.

    Fundamentals in Continuum Mechanics
    Motion
    Strain and strain rate
    Changes in area
    Deformation rate tensor
    Stress and stress rate
    Conservation 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 Geomaterials
    Governing equations for fluid–solid two-phase materials
    Governing equations for gas–water–solid three-phase materials
    Governing equations for unsaturated soil

    Fundamental Constitutive Equations
    Elastic body
    Newtonian viscous fluid
    Bingham body and viscoplastic body
    von Mises plastic body
    Viscoelastic constitutive models
    Elastoplastic model
    Overstress type of elastoviscoplasticity
    Elastoviscoplastic model based on stress history tensor
    Other viscoplastic and viscoelastic-plastic theories
    Cyclic plasticity and viscoplasticity
    Dissipation and the yield functions

    Failure Conditions and the Cam-Clay Model
    Introduction
    Failure criteria for soils
    Cam-clay model

    Elastoviscoplastic Modeling of Soil
    Rate-dependent and time-dependent behavior of soil
    Viscoelastic constitutive models
    Elastoviscoplastic constitutive models
    Microrheology models for clay
    Adachi and Oka’s viscoplastic model
    Extended viscoplastic model considering stress ratio-dependent softening
    Elastoviscoplastic model for cohesive soil considering degradation
    Application to natural clay
    Cyclic elastoviscoplastic model

    Virtual Work Theorem and Finite Element Method
    Virtual work theorem
    Finite element method
    Dynamic problem
    Dynamic analysis of water-saturated soil
    Finite deformation analysis for fluid–solid two-phase mixtures

    Consolidation Analysis
    Consolidation behavior of clays
    Consolidation analysis: small strain analysis
    Consolidation analysis with a model considering structural degradation
    Consolidation analysis of clay foundation
    Consolidation analysis considering construction of the embankment

    Strain Localization
    Strain localization problems in geomechanics
    Localization analysis
    Instability of geomaterials
    Noncoaxiality
    Current stress-dependent characteristics and anisotropy
    Regularization of ill-posedness
    Instability and effects of the transport of pore water
    Two-dimensional finite element analysis using elastoviscoplastic model
    Three-dimensional strain localization analysis of water-saturated clay
    Application to bearing capacity and earth pressure problems
    Summary

    Liquefaction Analysis of Sandy Ground
    Introduction
    Cyclic constitutive models
    Cyclic elastoplastic model for sand with a generalized flow rule
    Performance of the cyclic model
    Liquefaction analysis of a liquefiable ground
    Numerical analysis of the dynamic behavior of a pile foundation considering liquefaction

    Recent Advances in Computational Geomechanics
    Thermo-hydro-mechanical coupled finite element method
    Seepage-deformation coupled analysis of unsaturated river embankment using multiphase elastoviscoplastic theory

    Index

    References appear at the end of each chapter.

    Biography

    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.