Overview of a book ”SMP Concept-based 3D Constitutive Models for Geomaterials”

Book name : ”SMP Concept-based 3D Constitutive Models for Geomaterials”

Publication year : 2006

Author : Hajime Matsuoka and De’an Sun

• ISBN ‏ : ‎ 0415395046
• ISBN ‏ : ‎ 9780415395045
• ISBN-10 ‏ : ‎ 9783527329939
• ISBN-13 ‏ : ‎ 978-3527329939

Publisher : Taylor & Francis（旧A. A. Balkema）Group

Place of publication : Printed in Great Britain

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＊この本は、「地盤工学の新しいアプローチー構成式・試験法・補強法ーの第１講」を英訳して、その後の研究成果を追加したものです。

＊共著者De`an Sun氏は、当時名古屋工業大学の松岡研究室の中国人留学生として博士号を取得し、現在は中国上海市の上海大学土木工程系の教授です。

Description of this book

The Mohr-Coulomb failure criterion is a fundamental constitutive law used in geotechnical engineering, but strictly speaking, it works well only under axisymmetric stress states. Finding its three-dimensional equivalent has been one of the most attractive, but challenging, tasks for geotechnical researchers in the past hundred years. The SMP （Matsuoka – Nakai）failure criterion is the most reasonable three-dimensional extension of the Mohr-Coulomb failure criterion from the point of view of its physical meaning, mathematical expression and geometrical presentation.

The Cam-clay model is a fundamental constitutive model in soil mechanics, but it is only suitable for normally consolidated clay under triaxial compression stress states. Therefore, to integrate the Cam-clay model with the SMP criterion and then to extend it to sand and other geomaterials is one of the fundamental tasks in geotechnical engineering.

This book introduces the SMP criterion, the integration of the SMP criterion with the well-known Cam-clay model, and the application of the SMP criterion to the general elastoplastic constitutive models for geomaterials like clay, sand and unsaturated soil. In addition to the theoretical development of constitutive models, the book contains high-quality experimental data obtained from conventional and true triaxial tests on various soils. The scope and the level of the book ensure that it will be a valuable resource for postgraduate students, academics and geotechnical engineering professionals alike.

Hajime Matsuoka is Professor of Civil Engineering at the Nagoya Institute of Technology in Japan and the author of a number of books. His research interests include Constitutive Models for Soils, Earth Reinforcement and Vibration Reduction by Soilbags and in-situ Direct Shear Test etc .

De’an Sun is Professor of Engineering at the Department of Civil Engineering, Shanghai University. His current research interests include Soil Constitutive Modelling and Unsaturated Soil Mechanics etc.

Contents

 

1. Spatially mobilized plane (SMP) and SMP criterion
   1. Origin of SMP
   2. Stress-strain relation based on compositely mobilized plane (CMP)
   3. Stress-strain relation based on SMP
   4. Failure criteria for metals and granular materials
   5. Failure criterion for cohesive-frictional materials
2. Introduction to Cam-clay model
   1. Introduction
   2. Original Cam-clay model
      1. Principal direction of plastic strain increment and adopted stress and strain variables
      2. Determination of plastic potential and yield functions
      3. Determination of strain-hardening rule
      4. Determination of dε^e_ij
      5. Detailed derivation of dε^e_ij
      6. Modified Cam-clay model
         1. Principal direction of plastic strain increment and adopted stress and strain variables
         2. Determination of plastic potential and yield functions
         3. Determination of strain-hardening rule
         4. Determination of dε^e_ij
         5. Detailed derivation of dε^e_ij
3. The Cam-clay model revised by the SMP criterion
   1. Introduction
   2. The SMP criterion and a transformed stress tensor
   3. The Cam-clay model revised by the SMP criterion
   4. Comparison of model predictions with experimental data
   5. Concluding remarks
      • Appendix 1 Derivation of l₀
      • Appendix 2 Derivation of elastoplastic constitutive tensor D_ijkl
4. Elastoplastic constitutive models for geomaterials using transformed stress
   1. An elastoplastic model for sands and clays
      1. Introduction
      2. A unified hardening parameter for both clays and sands
      3. A unified elastoplastic model for both clays and sands
      4. Prediction versus experiment
      5. Modeling confining pressure dependence of strength and deformation
      6. Conclusions
   2. An elastoplastic model for K₀-consolidated soils
      1. Introduction
      2. The Sekiguchi-Ohta model and its stress-dilatancy relation
      3. An anisotropic hardening elastoplastic model for K₀-consolidated clays and sands
      4. Comparison of model predictions with experimental results
         1. Modeling triaxial behavior
         2. Modeling plane strain behavior
      5. Elastoplastic constitutive tensor
      6. Conclusions
   3. An elastoplastic model for unsaturated soils
      1. Introduction
      2. Effective stress for unsaturated soils
      3. Transformed stress tensor based on Extended SMP criterion
      4. Formulation of model for unsaturated soils
         1. Strength of unsaturated soil
         2. Formulation of model in isotropic stress state
         3. Formulation of model in general stress
      5. Triaxial tests on unsaturated soils
         1. Triaxial test apparatus for unsaturated soils
         2. Unsaturated soil specimen
         3. Stress paths
      6. Comparison of model predictions with experimental results
         1. Model parameters and their determination
         2. Model predictions versus experimental results
      7. General stress-strain relation for unsaturated soils
      8. Concluding remarks
5. Concluding remarks

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