Preface 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 The Mechanism of Generation of Dependency of Stress Path and Critical State Line 6.1 The dependency of stress path 6.2 The rotational hardening 6.3 The critical state line Chapter 7 The Constitutive Equations for Geotechnical Materials 7.1 The objective of constitutive modeling 7.2 Quantitative representation of the interaction between plastic volumetric and shear strains 7.3 Thermodynamic variables and state potential 7.4 Dissipation functional 7.5 The constitutive equations for geotechnical materials Chapter 8 Damages of Engineering and Geotechnical Materials 8.1 The mechanism of damage of metals and some engineering materials 8.2 The damage of geotechnical materials 8.3 The description of damage evolution Chapter 9 The Numerical Method of Constitutive Modeling for Geotechnical Materials 9.1 Introduction 9.2 The numerical method of constitutive modeling 9.3 Plasticity-based models for clay and sand under different stress paths 9.4 Concluding remarks References