1st Edition
Computational Modeling of Multiphase Geomaterials
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.
