The Material Point Method A Continuum Based Particle Method for Extreme Loading Cases 1st Edition by Xiong Zhang, Zhen Chen, Yan Liu ISBN 0124078559 9780124078550
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Product details:
ISBN 10: 0124078559
ISBN 13: 9780124078550
Author: Xiong Zhang, Zhen Chen, Yan Liu
The Material Point Method: A Continuum-Based Particle Method for Extreme Loading Cases systematically introduces the theory, code design, and application of the material point method, covering subjects such as the spatial and temporal discretization of MPM, frequently-used strength models and equations of state of materials, contact algorithms in MPM, adaptive MPM, the hybrid/coupled material point finite element method, object-oriented programming of MPM, and the application of MPM in impact, explosion, and metal forming.
Recent progresses are also stated in this monograph, including improvement of efficiency, memory storage, coupling/combination with the finite element method, the contact algorithm, and their application to problems.
- Provides a user’s guide and several numerical examples of the MPM3D-F90 code that can be downloaded from a website
- Presents models that describe different types of material behaviors, with a focus on extreme events.
- Includes applications of MPM and its extensions in extreme events, such as transient crack propagation, impact/penetration, blast, fluid-structure interaction, and biomechanical responses to extreme loading
The Material Point Method A Continuum Based Particle Method for Extreme Loading Cases 1st Table of contents:
Chapter 1: Introduction
Abstract
1.1. Lagrangian Methods
1.2. Eulerian Methods
1.3. Hybrid Methods
1.4. Meshfree Methods
Bibliography
Chapter 2: Governing Equations
Abstract
2.1. Description of Motion
2.2. Deformation Gradient
2.3. Rate of Deformation
2.4. Cauchy Stress
2.5. Jaumann Stress Rate
2.6. Updated Lagrangian Formulation
2.7. Weak Form of the Updated Lagrangian Formulation
2.8. Shock Wave
2.9. Detonation Wave
Bibliography
Chapter 3: The Material Point Method
Abstract
3.1. Material Point Discretization
3.2. Explicit Material Point Method
3.3. Contact Method
3.4. Generalized Interpolation MPM and Other Improvements
3.5. Adaptive Material Point Method
3.6. Non-reflecting Boundary
3.7. Incompressible Material Point Method
3.8. Implicit Material Point Method
Bibliography
Chapter 4: Computer Implementation of the MPM
Abstract
4.1. Execution of the MPM3D-F90
4.2. Input Data File Format of the MPM3D-F90
4.3. Source Files of the MPM3D-F90
4.4. Free Format Input
4.5. MPM Data Encapsulation
4.6. Main Subroutines
4.7. Numerical Examples
Bibliography
Chapter 5: Coupling of the MPM with FEM
Abstract
5.1. Explicit Finite Element Method
5.2. Hybrid FEM and MPM
5.3. Coupled FEM and MPM
5.4. Adaptive FEMP Method
Bibliography
Chapter 6: Constitutive Models
Abstract
6.1. Stress Update
6.2. Strength Models
6.3. Equation of State
6.4. Failure Models
6.5. Computer Implementation of Material Models
Bibliography
Chapter 7: Multiscale MPM
Abstract
7.1. Governing Equations at Different Scales
7.2. Solution Scheme for Concurrent Simulations
7.3. Interfacial Treatment
7.4. Demonstration
Bibliography
Chapter 8: Applications of the MPM
Abstract
8.1. Fracture Evolution
8.2. Impact
8.3. Explosion
8.4. Fluid–Structure/Solid Interaction
8.5. Multiscale Simulation
8.6. Biomechanics Problems
8.7. Other Problems with Extreme Deformations
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Tags: Xiong Zhang, Zhen Chen, Yan Liu, Material Point Method, Particle Method, Extreme Loading Cases