物质点法 适于极端工况的粒子类方法 英文版【2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载】

物质点法 适于极端工况的粒子类方法 英文版PDF格式电子书版下载

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1．Introduction1

1.1 Lagrangian Methods1

1.2 Eulerian Methods3

1.3 Hybrid Methods4

1.3.1 Arbitrary Eulerian-Lagrangian Method and Its Variations4

1.3.2 Particle-In-Cell Method and Its Variations5

1.3.3 Material Point Method6

1.4 Meshfree Methods7

2．Governing Equations11

2.1 Description of Motion11

2.2 Deformation Gradient14

2.3 Rate of Deformation16

2.4 Cauchy Stress17

2.5 Jaumann Stress Rate19

2.6 Updated Lagrangian Formulation20

2.6.1 Reynolds'Transport Theorem20

2.6.2 Conservation of Mass21

2.6.3 Conservation of Linear Momentum22

2.6.4 Conservation of Energy23

2.6.5 Governing Equations24

2.7 Weak Form of the Updated Lagrangian Formulation25

2.8 Shock Wave27

2.8.1 Rankine-Hugoniot Equations27

2.8.2 Artificial Bulk Viscosity29

2.9 Detonation Wave32

2.9.1 CJ Detonation Model32

2.9.2 ZND Detonation Model35

3．The Material Point Method37

3.1 Material Point Discretization37

3.1.1 Lagrangian Phase38

3.1.2 Convective Phase41

3.2 Explicit Material Point Method42

3.2.1 Explicit Time Integration43

3.2.2 Explicit MPM Scheme47

3.2.3 Qualitative Demonstration53

3.2.4 Comparison Between MPM and FEM56

3.3 Contact Method59

3.3.1 Boundary Conditions at Contact Surface60

3.3.2 Contact Detection62

3.3.3 Contact Force64

3.3.4 Numerical Algorithm for Contact Method67

3.4 Generalized Interpolation MPM and Other Improvements68

3.4.1 Contiguous Particle GIMP71

3.4.2 Uniform GIMP72

3.4.3 Convected Particle Domain Interpolation74

3.4.4 Dual Domain Material Point Method75

3.4.5 Spline Grid Shape Function76

3.5 Adaptive Material Point Method77

3.5.1 Particle Adaptive Split77

3.5.2 Adaptive Computational Grid79

3.6 Non-reflecting Boundary87

3.7 Incompressible Material Point Method88

3.7.1 Momentum Equation of Fluid89

3.7.2 Operator Splitting89

3.7.3 Pressure Poisson Equations90

3.7.4 Pressure Boundary Conditions91

3.7.5 Velocity Update92

3.8 Implicit Material Point Method93

3.8.1 Implicit Time Integration95

3.8.2 Solution of a System of Nonlinear Equations95

3.8.3 The Jacobian of Grid NodalInternal Force97

3.8.4 Solution of a Linearized System of Equations99

4．Computer Implementation of the MPM104

4.1 Execution of the MPM3D-F90104

4.2 Input Data File Format of the MPM3D-F90105

4.2.1 Unit105

4.2.2 Keywords105

4.2.3 Global Information106

4.2.4 Material Model106

4.2.5 Background Grid108

4.2.6 Solution Scheme109

4.2.7 Results Output109

4.2.8 Bodies110

4.2.9 Load111

4.2.10 An Example of Input Data File111

4.3 Source Files of the MPM3D-F90113

4.4 Free Format Input113

4.5 MPM Data Encapsulation115

4.5.1 Particle Data115

4.5.2 Grid Data116

4.5.3 Data Input119

4.5.4 Data Output120

4.6 Main Subroutines121

4.7 Numerical Examples137

4.7.1 TNT Slab Detonation137

4.7.2 Taylor Bar Impact138

4.7.3 Perforation of a Thick Plate139

4.7.4 Failure of Soil Slope141

5．Coupling of the MPM with FEM143

5.1 Explicit Finite Element Method143

5.1.1 Finite Element Discretization143

5.1.2 The FEM Formulation in Matrix Form145

5.1.3 Hexahedron Element147

5.1.4 Numerical Algorithm for an Explicit FEM155

5.2 Hybrid FEM and MPM156

5.3 Coupled FEM and MPM162

5.3.1 Global Search164

5.3.2 Local Search165

5.3.3 Contact Force166

5.4 Adaptive FEMP Method168

5.4.1 Discretization Scheme168

5.4.2 Convers ion Algorithm169

5.4.3 Coupling Between Remaining Elements and Particles170

6．Constitutive Models175

6.1 Stress Update175

6.2 Strength Models178

6.2.1 Elastic Model178

6.2.2 Elastoplastic Models179

6.2.3 Return Mapping Algorithm182

6.2.4 J2 Flow Theory188

6.2.5 Pressure-Dependent Elastoplasticity196

6.2.6 Newtonian Fluid205

6.2.7 High Explosive205

6.3 Equation of State207

6.3.1 Polytropic Process207

6.3.2 Nearly Incompressible Fluid208

6.3.3 Linear Polynomial209

6.3.4 JWL210

6.3.5 Mie-Grüneisen211

6.4 Failure Models213

6.4.1 Effective Plastic Strain Failure Model214

6.4.2 Hydrostatic Tensile Failure Model214

6.4.3 Maximum Principal/Shear Stress Failure Model214

6.4.4 Maximum Principal/Shear Strain Failure Model214

6.4.5 Effective Strain Failure Model215

6.5 Computer Implementation of Material Models215

6.5.1 Module MaterialData215

6.5.2 Module MaterialModel217

7．Multiscale MPM222

7.1 Governing Equations at Different Scales222

7.2 Solution Scheme for Concurrent Simulations224

7.2.1 Preprocessor224

7.2.2 Central Processing Unit224

7.3 I nterfacial Treatment227

7.4 Demonstration228

8．Applications of the MPM231

8.1 Fracture Evolution231

8.2 Impact236

8.3 Explosion242

8.4 Fluid-Structure/Solid Interaction247

8.5 Multiscale Simulation251

8.6 Biomechanics Problems259

8.7 Other Problems with Extreme Deformations261

Bibliography265

Index277