The Material Point Method
A Continuum-Based Particle Method for Extreme Loading Cases
- 1st Edition - October 21, 2016
- Authors: Xiong Zhang, Zhen Chen, Yan Liu
- Language: English
- Hardback ISBN:9 7 8 - 0 - 1 2 - 4 0 7 7 1 6 - 4
- eBook ISBN:9 7 8 - 0 - 1 2 - 4 0 7 8 5 5 - 0
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 met… Read more
Purchase options
Institutional subscription on ScienceDirect
Request a sales quoteThe 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
- Dedication
- About the Authors
- Preface
- Bibliography
- 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
- Bibliography
- Bibliography
- Index
- No. of pages: 300
- Language: English
- Edition: 1
- Published: October 21, 2016
- Imprint: Academic Press
- Hardback ISBN: 9780124077164
- eBook ISBN: 9780124078550
XZ
Xiong Zhang
ZC
Zhen Chen
Among his honors and awards are the Fellow of ASME, the Fellow of the ICACM, the Yangtze visiting professor and Qianren-Plan visiting professor appointed by the Ministry of Education in China, the Faculty Research Award in the College of Engineering at MU, the Outstanding Youth Award (Oversea) from the National Natural Science Foundation of China, and the NSF-CAREER Award. He received his Ph.D. in solid and computational mechanics from the University of New Mexico in 1989.
YL
Yan Liu
associate professor in the School of Aerospace Engineering.His research interests include multiscale simulation, meshfree particle methods and impact dynamics.
He received the Natural Science Award from Chinese Ministry of Education in 2009, Du Qing-Hua Medal & Young Researcher Award of Computational Methods in Engineering in 2012, the ICACM Young Investigator Award in 2013.