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书名 岩土材料质量分布与变形之间的相互作用原理(第2版英文版)(精)
分类 科学技术-自然科学-数学
作者 Wang Jingtao
出版社 科学出版社
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简介
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Rock and soil are the major constituent materials of the lithosphere of the earth. They are also the most widely used engineering materials. Rock and soil exhibit some remarkable characteristics of deformation and strength behavior, such as the pressure sensitivity(or pressure dependency), shear dilatancy, dependency of stress path etc. The two phenomena of pressure sensitivity and shear dilatancy have long been known by people. However, their origin of generation is not explained rationally yet.

《岩土材料质量分布与变形之间的相互作用原理(第2版英文版)(精)》由Wang Jingtao编著(英文版),可供相关读者阅读学习。

目录

Preface to the second edition

Preface to the first edition

Chapter 1 Introduction to Continuum Mechanics

1.1 The definition of a continuum

1.2 Deformation

1.3 Stress

1.4 Velocity fields

1.5 The classical conservation laws and field equations

   1.5.1 Lagrange and Euler descriptions of the motion of a continuum

   1.5.2 The equation of continuity

   1.5.3 The equations of motion

   1.5.4 Moment of momentum

Chapter 2 Fundamentals of Thermodynamics

2.1 Introduction

2.2 Basic concepts of thermodynamics

2.3 Temperature and the zeroth law of thermodynamics

2.4 Energy

2.5 The first law of thermodynamics

2.6 The second law of thermodynamics

2.7 Reversible and irreversible processes

2.8 Entropy and Clausius-Duhem inequality

2.9 Internal variables and accompanying equilibrium state

Chapter 3 Fundamental Characteristics of Deformation Behavior

       for Geotechnical Materials

3.1 Introduction

3.2 Pressure sensitivity

3.3 Shear dilatancy

3.4 Dependency of stress path

Chapter 4 Constitutive Modeling for Geotechnical Materials

4.1 Introduction

4.2 The plastic potential theory

4.3 The approach based on the thermodynamics of irreversible

   processes

4.4 The critical state and critical state line

   4.4.1 Critical state

   4.4.2 Critical state line

Chapter 5 The Principle of Interaction between Plastic Volumetric

       and Shear Strains

5.1 Background

5.2 The principle of interaction between plastic volumetric and

   shear strains

5.3 Effects of the plastic shear strain on plastic volumetric strains

5.4 Effects of the plastic volumetric strain on plastic shear strains

5.5 The physical meaning of the principle of interaction

Chapter 6 Symmetry and Interaction between Plastic Volumetric

       and Shear Strain Fields

6.1 Introduction to the gauge field theory

6.2 Symmetries of plastic strain fields

   6.2.1 Introduction to transformation groups

   6.2.2 The local symmetries of plastic strain fields and constitutive field

       equations

6.3 Characteristics of the interaction between mass distribution and deformation

6.4 Summary

Chapter 7 The Mechanism of Generation of Dependency of Stress

       Path and Critical State Line

7.1 The dependency of stress path

7.2 The curvature hardening

7.3 The critical state line

Chapter 8 The Constitutive Equations for Geotechnical Materials

8.1 The objective of constitutive modeling

8.2 Quantitative representation of the interaction between plastic

   volumetric and shear strains

8.3 Thermodynamic variables and state potential

8.4 Dissipation functional

8.5 The constitutive equations for geotechnical materials

Chapter 9 Damages of Engineering and Geotechnical Materials

9.1 The mechanism of damage of metals and some engineering

    materials

9.2 The damage of geotechnical materials

9.3 The description of damage evolution

Chapter 10 The Numerical Method of Constitutive Modeling for

        Geoteehnical Materials

10.1 Introduction

10.2 The numerical method of constitutive modeling

10.3 Plasticity-based models for clay and sand under different

    stress paths

10.4 Concluding remarks

Chapter 11 The Interaction between Mass Distribution and

        Deformation in Unsaturated Soils

11.1 Introduction

11.2 The interaction between plastic volumetric and shear strains in

    unsaturated soils

11.3 The dual property of matric suction

11.4 The shear strength of unsaturated soils

11.5 The constitutive field equations for unsaturated soils

11.6 The dependency of stress path and critical state line in unsaturated soils

References

Index

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