Mesh-Free Computational Shock and Fracture

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LANL 40mm x 2mm 4340 steel SPH simulated Hemi at t=20 µs. Radiograph (H3187, DX-2) at t=20 µs.
SPH showing tensile instability With numerical techniques there are no magic bullets SPH + Repulsive Term
Page 1 and 2:
Mesh-Free Computational Shock and F
Page 3 and 4: Larry Libersky ! Interested in shoc
Page 5 and 6: Fast, Beautiful, Flexible, Mesh-Fre
Page 7 and 8: Collaborators
Page 9 and 10: Collaborators Vignjevic Campbell
Page 11 and 12: Why Particles We believe there is o
Page 13 and 14: The Binary System C444 Cygni
Page 15 and 16: Our History 1990: SPH With Strength
Page 17 and 18: + •Conceptual Simplicity •Extra
Page 19 and 20: Dual Particle Dynamics Dual space o
Page 21 and 22: dU dt " i The use of MLS fits. SPH
Page 23 and 24: Finding Neighbors; Inverse Hull Ori
Page 25 and 26: ! , ! Q = " hU 1 + Artificial Visco
Page 27 and 28: DPD: Sedov-Taylor Density Particle
Page 29 and 30: u # Stability of DPD (Randles ( Ran
Page 31 and 32: 1 2 3 4 Stability Boundaries for DP
Page 33 and 34: Stability Eigenstate for Particle i
Page 35 and 36: How do we relate neighbors to stabi
Page 37 and 38: Updating Positions ! It seems like
Page 39 and 40: Schematic of Velocity Update MLS Li
Page 41 and 42: DPD for 3D Solids ! Smoothness of f
Page 43 and 44: Very Fast Anvil (1km/s)
Page 45: Seth Neddermeyer Setup (8 det pts).
Page 48 and 49: DPD: Cylinder test
Page 50 and 51: Time=0 SPH HRam Time=200 µ s
Page 52 and 53: ! Represents class of high energy s
Page 56 and 57: MAGI: Smoothed Particle Hydrodynami
Page 58 and 59: Summary ! Mesh-free particle method
Page 60: Space - What is it? Space is not a
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Mesh-Free Computational Shock and Fracture

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