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Adaptive Multiscale Modeling and Simulation for Munitions Simulations* Progress Report

Adaptive Multiscale Modeling and Simulation for Munitions Simulations* Progress Report. PIs: Jacob Fish and Mark S. Shephard Post-docs: Gal Davidi, Caglar Oskay Students: Zheng Yuan, Rong Fan. *AFRL support leveraged by support from NSF, ONR and General Motors. Roadmap of Developments.

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Adaptive Multiscale Modeling and Simulation for Munitions Simulations* Progress Report

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  1. Adaptive Multiscale Modeling and Simulation for Munitions Simulations*Progress Report PIs: Jacob Fish and Mark S. Shephard Post-docs: Gal Davidi, Caglar Oskay Students: Zheng Yuan, Rong Fan *AFRL support leveraged by support from NSF, ONR and General Motors

  2. Roadmap of Developments • Assessment of commercial code capabilities • Mesh sensitivity studies (Gal Davidi) • Validation studies (Rong Fan) • Fragmentation capabilities for metals • Homogenization based approach (Gal Davidi) • Integration of homogenization in ABAQUS (Zhen Yuan) • PUM based (Zhen Yuan and Rong Fan)

  3. Roadmap of Developments (cont) • Fragmentation capabilities for composites • Reduced order methodology (Oskay) • Validation studies (Oskay) • Integration in ABAQUS • Multiscale Enrichment based PUM • Applications

  4. Target Assembly Impactor in Sabot DH36 Steel Plate Fragmentation in MetalsExperimental setup The experimental parameters considered: • Steel target plate: DH36 steel; 3/16 inch thick; 6 inch diameter; • Impact velocity: In the range between 920 ft/sec. • Backing material: Polyurea: 0.215 inch • Impactor: non-deformable

  5. Experiment vs ABAQUS simulation (without backing) Mises stress (without backing) Equivalent plastic strain (without backing)

  6. Experiment vs SimulationDH36

  7. Shell 21 layers 3D model (21 layers) Drawbacks of commercial software • Cost of 3D simulations (4 days for 21 layer-model, r-adaptivity) • Mesh dependency of both 3D and shell models 3.00E+05 3D models (4-8 layers) 2.50E+05 2.00E+05 1.50E+05 Fine (160) 1.00E+05 Coarse (80) Very Coarse (40) 5.00E+04 0.00E+00 0 0.00005 0.0001 0.00015 0.0002 0.00025 0.0003 0.00035 0.0004 0.00045

  8. Remedy: Multiscale Enrichment • Global (structure) Enrichment • Enrich the kinematics of the global mesh with failure characteristic (delamination, shear banding, fragmentation) characteristic computed on the local patch • For computational efficiency • Local (material) Enrichment • Embed discontinuities (strong or weak) into material (micromechanical) model • For regularization of failure models

  9. Global deformation modes Failure deformation mode-shapes Cell problems on delamination fracture Global Enrichment (MEPU) Better (Superposition) (Domain decomposition)

  10. DH36 & ERC (Shell) Global Enrichment (metals)3D simulations 300 DH36 & ERC (3D-21 layers) 250 MEPU 200 Velocity of Impactor (m/s) 150 100 50 0 0 0.0001 0.0002 0.0003 0.0004 Time (s)

  11. 4 7 8 3 1 6 5 2 Discontinuity plane RVE Local Enrichment (metals)(in progress) • Calculate discontinuity direction at each Gauss point • Align the RVE local coordinate system with one of the axis normal to the localization plane • Develop a 3-point RVE model as follows: Constrained RGB Gauss point Constrained periodicity Shell master

  12. Phenomenological Advantages Fast Disadvantages Reliability Experiments architecture dependent Eigendeformation-based Reduced Order Homogenization Material Point Component Matrix point (s) • Engineering Accuracy • Fast • Architecture independent Experiments Interface point (s) Fiber point (s) Impact Fragmentation of composites Direct Homogenization • Advantages • Reliability • Architecture independent Exp. • Disadvantages • Computationally formidable

  13. Validation: Tube Crush Experiment • Experiments by Oak Ridge (Starbuck et al.) • Impact Velocity: 4000 mm/sec • Microstructure: Woven composite

  14. Model Validation (composites)

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