The document summarizes simulations of fragmenting cylinders using the material point method (MPM). MPM is well-suited for modeling large deformations and fracture while avoiding issues like mesh entanglement. The simulations implement various plasticity, damage, and failure models and are validated against experimental penetration tests and fragmentation patterns. Finally, full 3D simulations are presented of containers exposed to fire and fragmenting.

1. Material Point Method Simulations of Fragmenting Cylinders Biswajit Banerjee Department of Mechanical Engineering University of Utah 17th ASCE Engineering Mechanics Conference, 2004

3. Scenario

4. What happens to the container ?

6. The Material Point Method (MPM) (Sulsky et al.,1994)

12. Validation: Plasticity Models 6061-T6 Aluminum EFC Copper JC MTS SCG JC MTS SCG 635 K 194 m/s 655 K 354 m/s 718 K 188 m/s 727 K 211 m/s

13. Validation: Mesh dependence OFHC Copper 298 K 177 m/s MTS 6061-T6 Al 655 K 354 m/s JC 1,200,000 cells 151,000 cells 18,900 cells 735,000 cells 91,800 cells 11,500 cells

14. Validation: Penetration/Failure

15. Validation: Penetration/Failure 160,000 cells 1,280,000 cells

16. Validation: Erosion Algorithm

17. Validation: Impact

18. Validation: Impact Results

19. Validation: 2D Fragmentation

20. Validation: 2D Fragmentation Gurson-Tvergaard-Needleman yield, Drucker stability, Acoustic tensor, Gaussian porosity, fragments match Grady equation, gases with ICE-CFD code. JC (steel), ViscoScram (PBX 9501) MTS (steel), ViscoScram (PBX 9501)

21. Simulations: 3D Fragmentation

22. Simulation: Container in Fire

23. Questions ?