物质点法:适于极端工况的粒子类方法
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天津武清
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作者张雄,陈震,刘岩
出版社清华大学出版社
ISBN9787302470274
出版时间2017-06
版次1
装帧平装
开本16开
纸张胶版纸
页数283页
定价69元
上书时间2024-05-01
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基本信息
书名:物质点法:适于极端工况的粒子类方法
定价：69.00元
作者:张雄,陈震,刘岩
出版社：清华大学出版社
出版日期：2017-06-01
ISBN：9787302470274
字数：
页码：283
版次：1
装帧：平装
开本：32开
商品重量：
编辑推荐
本书可供航天航空、力学、机械、汽车、土木、水利等专业的高年级本科生、研究生和教师使用，也可供相关领域的科技人员阅读参考。
内容提要
本书系统地论述了物质点法的理论、程序设计和应用，并提供了开源代码MPM3D-F90。英文版在中文版的基础上做了大幅修改和补充，增加和扩充了部分内容（如不可压物质点法、隐式物质点法、开源代码MPM3D-F90的描述与算例、多尺度物质点法等），并基于点面接触算法对耦合物质点有限元和自适应物质点有限元法进行了全面更新，力图反映物质点法的近期新研究进展。本书可供航天航空、力学、机械、汽车、土木、水利等专业的高年级本科生、研究生和教师使用，也可供相关领域的科技人员阅读参考。
目录
ContentsDedication iAbout the Authors viiPreface ix1. Introduction1.1 Lagrangian Methods 11.2 Eulerian Methods 31.3 Hybrid Methods 41.3.1 Arbitrary Eulerian–Lagrangian Method and Its Variations 41.3.2 Particle-In-Cell Method and Its Variations 51.3.3 Material Point Method 61.4 Meshfree Methods 72. Governing Equations2.1 Description of Motion 112.2 Deformation Gradient 142.3 Rate of Deformation 162.4 Cauchy Stress 172.5 Jaumann Stress Rate 192.6 Updated Lagrangian Formulation 202.6.1 Reynolds’ Transport Theorem 202.6.2 Conservation of Mass 212.6.3 Conservation of Linear Momentum 222.6.4 Conservation of Energy 232.6.5 Governing Equations 242.7 Weak Form of the Updated Lagrangian Formulation 252.8 Shock Wave 272.8.1 Rankine–Hugoniot Equations 272.8.2 Artificial Bulk Viscosity 292.9 Detonation Wave 322.9.1 CJ Detonation Model 322.9.2 ZND Detonation Model 35iiiiv Contents3. The Material Point Method3.1 Material Point Discretization 373.1.1 Lagrangian Phase 383.1.2 Convective Phase 413.2 Explicit Material Point Method 423.2.1 Explicit Time Integration 433.2.2 Explicit MPM Scheme 473.2.3 Qualitative Demonstration 533.2.4 Comparison Between MPM and FEM 563.3 Contact Method 593.3.1 Boundary Conditions at Contact Surface 603.3.2 Contact Detection 623.3.3 Contact Force 643.3.4 Numerical Algorithm for Contact Method 673.4 Generalized Interpolation MPM and Other Improvements 683.4.1 Contiguous Particle GIMP 713.4.2 Uniform GIMP 723.4.3 Convected Particle Domain Interpolation 743.4.4 Dual Domain Material Point Method 753.4.5 Spline Grid Shape Function 763.5 Adaptive Material Point Method 773.5.1 Particle Adaptive Split 773.5.2 Adaptive Computational Grid 793.6 Non-reflecting Boundary 873.7 Incompressible Material Point Method 883.7.1 Momentum Equation of Fluid 893.7.2 Operator Splitting 893.7.3 Pressure Poisson Equations 903.7.4 Pressure Boundary Conditions 913.7.5 Velocity Update 923.8 Implicit Material Point Method 933.8.1 Implicit Time Integration 953.8.2 Solution of a System of Nonlinear Equations 953.8.3 The Jacobian of Grid Nodal Internal Force 973.8.4 Solution of a Linearized System of Equations 994. Computer Implementation of the MPM4.1 Execution of the MPM3D-F90 1044.2 Input Data File Format of the MPM3D-F90 1054.2.1 Unit 1054.2.2 Keywords 1054.2.3 Global Information 1064.2.4 Material Model 1064.2.5 Background Grid 1084.2.6 Solution Scheme 1094.2.7 Results Output 109Contents v4.2.8 Bodies 1104.2.9 Load 1114.2.10 An Example of Input Data File 1114.3 Source Files of the MPM3D-F90 1134.4 Free Format Input 1134.5 MPM Data Encapsulation 1154.5.1 Particle Data 1154.5.2 Grid Data 1164.5.3 Data Input 1194.5.4 Data Output 1204.6 Main Subroutines 1214.7 Numerical Examples 1374.7.1 TNT Slab Detonation 1374.7.2 Taylor Bar Impact 1384.7.3 Perforation of a Thick Plate 1394.7.4 Failure of Soil Slope 1415. Coupling of the MPM with FEM5.1 Explicit Finite Element Method 1435.1.1 Finite Element Discretization 1435.1.2 The FEM Formulation in Matrix Form 1455.1.3 Hexahedron Element 1475.1.4 Numerical Algorithm for an Explicit FEM 1555.2 Hybrid FEM and MPM 1565.3 Coupled FEM and MPM 1625.3.1 Global Search 1645.3.2 Local Search 1655.3.3 Contact Force 1665.4 Adaptive FEMP Method 1685.4.1 Discretization Scheme 1685.4.2 Conversion Algorithm 1695.4.3 Coupling Between Remaining Elements and Particles 1706. Constitutive Models6.1 Stress Update 1756.2 Strength Models 1786.2.1 Elastic Model 1786.2.2 Elastoplastic Models 1796.2.3 Return Mapping Algorithm 1826.2.4 J2 Flow Theory 1886.2.5 Pressure-Dependent Elastoplasticity 1966.2.6 Newtonian Fluid 2056.2.7 High Explosive 2056.3 Equation of State 2076.3.1 Polytropic Process 207vi Contents6.3.2 Nearly Incompressible Fluid 2086.3.3 Linear Polynomial 2096.3.4 JWL 2106.3.5 Mie–Grüneisen 2116.4 Failure Models 2136.4.1 Effective Plastic Strain Failure Model 2146.4.2 Hydrostatic Tensile Failure Model 2146.4.3 Maximum Principal/Shear Stress Failure Model 2146.4.4 Maximum Principal/Shear Strain Failure Model 2146.4.5 Effective Strain Failure Model 2156.5 Computer Implementation of Material Models 2156.5.1 Module MaterialData 2156.5.2 Module MaterialModel 2177. Multiscale MPM7.1 Governing Equations at Different Scales 2227.2 Solution Scheme for Concurrent Simulations 2247.2.1 Preprocessor 2247.2.2 Central Processing Unit 2247.3 Interfacial Treatment 2277.4 Demonstration 2288. Applications of the MPM8.1 Fracture Evolution 2318.2 Impact 2368.3 Explosion 2428.4 Fluid–Structure/Solid Interaction 2478.5 Multiscale Simulation 2518.6 Biomechanics Problems 2598.7 Other Problems with Extreme Deformations 261Bibliography 265Index 277
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