1st Edition

Computational Modeling of Multiphase Geomaterials

ISBN 9780415809276
Published July 5, 2012 by CRC Press
410 Pages 180 B/W Illustrations

USD $165.00

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Book Description

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.

Table of Contents

Fundamentals in Continuum Mechanics
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
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
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

Liquefaction Analysis of Sandy Ground
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


References appear at the end of each chapter.

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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.