岩土塑性力学

《岩土塑性力学(英文版)》是2019年科学出版社出版的图书，作者是刘元雪。

• 书名 岩土塑性力学(英文版)
• 作者 刘元雪
• 出版社 科学出版社
• ISBN 9787030601827

内容简介

　　本散精响己并三百书是作者关于岩土塑性力学长期教学与科研工作成果的凝聚。力图深入浅出的阐述岩土塑性基本概念、静动力基本力学特性、非线性与经典塑性理论、岩土屈服面理论、硬化模型、流动法则与加卸载准则、主应力轴旋转计算理论，以及岩来自土极限分析及其*新进展-极限有限元法。较为详细地介绍了代表性的岩土静动力本构模型。期冀读者能对岩土基本力学特性与本构模型有深入系统的认识，可以针对具体工程问题与岩土特头企性，选用与建立合理本构模型。

图书目录

　　Contents

　　1 Introduction 1

　　1.1 BasicConcept 1

　　1吧笑载胡清妒段示独.1.1 Plastic Deformation 1

　　1.1.2 Plastic Mechanics 2

　　1.1.3 Plastic Mechanics of Geomaterial 3

　　1.2 The Basic Hypothesis of Plastic Mechanics of Geomaterial 4

　　1.3 The Constit未护教utive Model 4

　　1.3.1 What Is Model 4

　　1.3.2 Mode领照院非测没压固l in Class与冲防川矿能九古题类ical Soil Mechanics 5

　　1.4 Development History for Plastic Mechan360百科ics of Geomate了杀四肉德袁穿规rial 6

　　Re住七唱茶程围回医营建ferences 8

　　2 Stress and Strain and Its Basic Equations 11

　　2.1 Continuum Model 11

　　2.2 Stress Tensor 12

　　2.3 Decomposition of Stress Tensor and Its Invariant哥s 15

　　2.3.1 Deco副觉远些mposition of Str缩音如ess Tensor 15

　掌正　2.3.20 ther Representation of Stress Invariant 16

　　2.4 Deformation and Strai电跳减步它头皇n 19

　　2.5 The Invariant of Strai第叫以n Tensor 22

　　2.6 Decomposition of Strain T组会府思间土奏展曲弱ensor and Its Invariants 23

　　2.6.1 Decomposition of Strain Tensor 23

　　2.6.20 ther Representation of Strain Invariant 24

　　2.7 Stress Path and Strain Path 27

　　营各静短2.7.1 Expression of Stress Path 27

　　2.7.2 The Reali针沿础亚zation of Stress Path 2妒这乙但案引余度般候9

　　2.7.3 Total Stress Path and Effective Stress Path 29

　　2.7.4 Strain Path 30

　　2.8 Basic Equations of Plastic Mechanics of Geomaterial 30

　　2.8.1 Basic Equations 31

　　2.8.2 Boundary Condition and Initial Value 33

　　References 34

　　3 The Basic Mechanical Characteristics of the Geomaterial 35

　　3.1 Pressure-Hardening 35

　　3.2 Yield Caused by Hydrostatic Pressure 36

　　3.3 Dilatancy 37

　　3.4 Plastic Deformation Dependent on Stress Path 39

　　3.50 ther Important Characteristics 41

　　3.6 Mechanical Characteristic at Small Strain of Geomaterial 43

　　3.7 Mechanical Difference for the Natural and Remoulded Soil 45

　　References 47

　　4 The Elastic Model of Geomaterial 49

　　4.1 Nonlinear Elastic Theory 51

　　4.1.1 Variable Elasticity Theory 51

　　4.1.2 Hyperelastic Theory 51

　　4.1.3 Hypoelastic Theory 52

　　4.2 The Anisotropic Elastic Theory 52

　　4.2.1 Isotropic Elastic Constitutive Model 54

　　4.2.2 The Elastic Constitutive Model with Cross-Anisotropy 57

　　4.3 The Isotropic Nonlinear Elastic Model of Geomaterial 57

　　4.3.1 The Basic Principle of Duncan-Chang Model 58

　　4.3.2 Two Elastic Function of Duncan-Chang Model 59

　　4.3.3 Review of Duncan-Chang Model 63

　　4.4 The Elastic Model with Transverse Isotropy 64

　　4.4.1 Xiao-nan Gong Model 64

　　4.4.2 Graham Model 65

　　References 71

　　5 Classical Plastic Theory 73

　　5.1 Potential Function and Thermodynamics 73

　　5.1.1 First Law of Thermodynamics 73

　　5.1.2 Second Law of Thermodynamics 74

　　5.1.3 Thermodynamics Potential and Dissipative Inequality 75

　　5.2 Plastic Postulate 78

　　5.2.1 Drucker's Stability Postulate 78

　　5.2.2 Inference of Drucker's Postulate 79

　　5.3 The Constitutive Model Based on the Classic Plastic Theory 82

　　5.3.1 The Framework of the Classic Plastic Theory 82

　　5.3.2 Commonly Used Models 83

　　References 86

　　6 The Development of the Plastic Theory of Geomaterial 87

　　6.1 Study of Several Basic Problems in Plastic Theory of Geomaterial 87

　　6.1.1 Proving that Drucker Postulate Is Unsuitable for Geomaterial 88

　　6.1.2 Proving that the Classic Plastic Theory Is Unsuitable for Geomaterial 91

　　6.1.3 Study of Several Key Problems in the Plastic Theory of Geomaterial 93

　　6.2 Development of the Yield Surface for Geomaterial 97

　　6.2.1 Significance of Yield Surface 97

　　6.2.2 Yield of Geomaterial 97

　　6.2.3 The Shear Yield Surface 98

　　6.2.4 Volumetric Yield Criterion 106

　　6.2.5 Yield Surface of Overconsolidated Soil 114

　　6.2.6 Part Yield 116

　　6.3 Hardening Laws 117

　　6.3.1 Hardening Theory 117

　　6.3.2 Hardening Model 118

　　6.3.3 Isotropic Hardening 119

　　6.3.4 Kinematic Hardening 121

　　6.3.5 Mixed Hardening 124

　　6.3.6 The General Form of Hardening Model 125

　　6.4 Plastic Flow Rule 128

　　6.4.1 Associated Flow Rule 129

　　6.4.2 Nonassociated Flow Rule 129

　　6.4.3 Mixed Flow Rule 129

　　6.5 Loading-Unloading Rule 131

　　6.5.1 Loading-Unloading Rule Based on Yield Surface 131

　　6.5.2 Loading-Unloading Rule with Stress Type 132

　　6.5.3 Loading-Unloading Rule with Strain Style 132

　　References 134

　　7 The Static Elastoplastic Model for Geomaterial 137

　　7.1 Cam-Clay and Modified Cam-Clay Model 138

　　7.1.1 The Concept of Critical States 138

　　7.1.2 Cam-Clay Model 139

　　7.1.3 Modified Cam-Clay Model 144

　　7.1.4 Comment on Cam-Clay Model 145

　　7.2 Lade Model 146

　　7.2.1 Components of Constitutive Model 146

　　7.2.2 Elastic Behavior 146

　　7.2.3 Failure Criterion 147

　　7.2.4 Plastic Potential and Flow Rule 148

　　7.2.5 Yield Criterion and Work-Hardening/Softening Relation 150

　　7.2.6 Determination of Material Parameters 153

　　7.2.7 Model Comments 160

　　7.3 A Unified Hardening Constitutive Model for Soils 161

　　7.3.1 Introduction 161

　　7.3.2 The Unified Hardening Parameter Which Has Nothing to Do with the Stress Path 162

　　7.3.3 Unified Hardening Model for Natural Consolidation

　　7.3.4 The Unified Hardening Model of the Normal

　　Consolidated Soil 170

　　7.3.5 The Stress-Strain Relationship 175