
The Material Point Method
A Continuum-Based Particle Method for Extreme Loading Cases
Description
Key Features
- 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
Readership
Table of Contents
- 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
Product details
- No. of pages: 300
- Language: English
- Copyright: © Academic Press 2016
- Published: October 21, 2016
- Imprint: Academic Press
- eBook ISBN: 9780124078550
- Hardcover ISBN: 9780124077164
About the Authors
Xiong Zhang
Affiliations and Expertise
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.
Affiliations and Expertise
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.
Affiliations and Expertise
Ratings and Reviews
Latest reviews
(Total rating for all reviews)
George W. Fri Dec 29 2017
Good writing with essential contents
Clear writing book. The contents are essential in the subject and contains application algorithms. It is possible to compile the source code to verify and study the developed concepts.