1st Edition

Constitutive Modeling of Geomaterials
Principles and Applications

ISBN 9780415557269
Published July 23, 2012 by CRC Press
374 Pages 248 B/W Illustrations

USD $180.00

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Book Description

Winner of the Japanese Geotechnical Society 2016 publication award

Written by a veteran geotechnical engineer with a long record of research discoveries, Constitutive Modeling of Geomaterials: Principles and Applications presents a simple and unified approach to modeling various features of geomaterials in general stress systems. The book discusses the fundamentals of the constitutive modeling of soils and illustrates the application of these models to boundary value problems.

Helping readers easily understand the fundamentals and modeling of soil behaviors, the author first explains the ideas and formulations for modeling soil features in one-dimensional conditions. He then extends the one-dimensional models to three-dimensional models using the tij concept. The text covers the subloading tij model and other methods that describe density, bonding, time effect, and more. Moving on to the practical application of the constitutive models, the author presents the numerical simulations of typical geotechnical problems (numerical modeling) and the corresponding model tests (physical modeling).

Using a framework that leads to a unified set of material parameters, this book shows how to formulate a constitutive model capable of simulating the main features of soil behavior. It not only covers recent methods and models but also uses real test data to prove their reliability.

Table of Contents


Fundamentals of Conventional Elastoplasticity
One-dimensional modeling of elastoplastic materials
Multidimensional modeling of elastoplastic materials

Modeling of One-Dimensional Soil Behavior
Modeling of normally consolidated soils—conventional elastoplastic modeling
Modeling of overconsolidated soils—advanced elastoplastic modeling at stage I
Modeling of structured soils (naturally deposited soils)—advanced elastoplastic modeling at stage II
Modeling of other features of soils—advanced elastoplastic modeling at stage III
Loading condition using increment of total change of void ratio and explicit expression in advanced elastoplastic modeling
Application of the advanced model (stage III) to time-dependent behavior of soil
Meaning of present time-dependent model—common and different points to Sekiguchi model
Simulation of time-dependent behavior of soil in one-dimensional conditions
Application of advanced methods to modeling of some other features

Ordinary Modeling of Three-Dimensional Soil Behavior
Outline of ordinary elastoplastic models such as the Cam clay model
Discussion on applicability of Cam clay type model in three-dimensional conditions based on test results

Unified Modeling of Three-Dimensional Soil Behavior Based on the tij Concept
Concept of modified stress tij
Three-dimensional modeling of normally consolidated soils based on the tij concept

Three-Dimensional Modeling of Various Soil Features Based on the tij Concept
Three-dimensional modeling of overconsolidated soils—advanced elastoplastic modeling at stage I
Three-dimensional modeling of structured soils—advanced elastoplastic modeling at stage II
Three-dimensional modeling of other features of soils—advanced elastoplastic modeling at stage III

Conclusions of Part 1

Introduction to Numerical and Physical Modeling
Modeling the interface behavior between soil and structure
Geomaterials used in 2D and 3D model tests and their material parameters

Two-dimensional trapdoor problems
Three-dimensional trapdoor problems
Circular tunneling

Earth Pressure of Retaining Walls and Bearing Capacity of Foundations
Active and passive earth pressure behind retaining walls
Braced open excavation
Strip foundation and piled raft foundation

Reinforced Soils
Reinforced foundation under uplift loading
Reinforcing for increasing bearing capacity

Localization and Shear Band Development in Element Tests
Outline of analyses
Results and discussion

Conclusions of Part 2



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Teruo Nakai is a professor at the Nagoya Institute of Technology. He has received several honors, including Best Research Paper Awards from the Japanese Geotechnical Society. He earned a Ph.D. from Kyoto University. His research interests include the testing of geomaterials and their constitutive modeling in general stress systems as well as the application of constitutive models to boundary value problems, such as tunneling, braced excavation, bearing capacity of various foundations, and reinforced soils.


"The book is written in an easy-to-read style without frills. The style is typical of Prof. Nakai, namely correct, concise and complete. The line drawings and photos are well proportionated and reproduced with high quality. The access to the stuff is made easy by embarking on the 1D relationship at the beginning of the book, which makes it an excellent text-book for graduate students. However, the book is also highly recommended to experts who wish to brush up their knowledge in constitutive modeling. I enjoyed reading this book for my review and was rewarded with surprising goodies here and there. There are many details to be discovered."
—Acta Geotechnica, 2013