Computational Modeling of Multiphase Geomaterials: 1st Edition (Paperback) book cover

Computational Modeling of Multiphase Geomaterials

1st Edition

By Fusao Oka, Sayuri Kimoto

CRC Press

410 pages | 180 B/W Illus.

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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.

About the Authors

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.

Subject Categories

BISAC Subject Codes/Headings: