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.
1. Chapter 1: Introduction - p. xv 2. Chapter 2: Governing Equations - p. 9 3. Chapter 3: The Material Point Method - p. 36 4. Chapter 4: Computer Implementation of the MPM - p. 101 5. Chapter 5: Coupling of the MPM with FEM - p. 142 6. Chapter 6: Constitutive Models - p. 173 7. Chapter 7: Multiscale MPM - p. 219 8. Chapter 8: Applications of the MPM - p. 229 9. Bibliography - p. 265 10. Index - p. 277
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.
1. Chapter 1: Introduction - p. xv 2. Chapter 2: Governing Equations - p. 9 3. Chapter 3: The Material Point Method - p. 36 4. Chapter 4: Computer Implementation of the MPM - p. 101 5. Chapter 5: Coupling of the MPM with FEM - p. 142 6. Chapter 6: Constitutive Models - p. 173 7. Chapter 7: Multiscale MPM - p. 219 8. Chapter 8: Applications of the MPM - p. 229 9. Bibliography - p. 265 10. Index - p. 277
