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Example 3: Smoothed particle hydrodynamics (SPH) modeling for an impact problem

Example 3: Smoothed particle hydrodynamics (SPH) modeling for an impact problem. EXAMPLE 3. Overview: SPH modeling. SPH modeling is available from Abaqus version 6.11. Smoothed particle hydrodynamics (SPH)

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Example 3: Smoothed particle hydrodynamics (SPH) modeling for an impact problem

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  1. Example 3: Smoothed particle hydrodynamics (SPH) modeling for an impact problem PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  2. Overview: SPH modeling SPH modeling is available from Abaqus version 6.11. • Smoothed particle hydrodynamics (SPH) • A meshless Lagrangian technique, based on interpolation theory and smoothing kernel functions. • Fluid (impactor) is represented as a set of discrete interacting particles, which are independent from Lagrangian elements. • No mesh distortion of the fluid. • No solution domain to define a spatial mesh for fluid. • The method provide more accurate results than Lagrangian or coupled Eulerian-Lagrangian analyses when the deformation is too severe. • Application of SPH modeling • Effective for applications involving extreme deformation • In stead of the coupled Eulerian-Lagrangian modeling, SPH modeling can be used to reduce computational cost. • Example problems: Fluid sloshing, wave engineering, ballistics, spraying (as in paint spraying), gas flow, and obliteration and fragmentation followed by secondary impacts. PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  3. Problem description Direct impact problem A soft body (5kg) with 50 m/sec impacts on the aluminum plate. • Aluminum plate • Dimensions: 1m× 1m× 0.002m • Material type: Linearly elastic behavior with isotropic hardening • Element : Shell elements (S4R) • Mesh size: 0.01m-0.05m • Boundary condition: Four edges are fully constrained. • Soft body impactor • Shape: cylinder with two hemispherical caps • Dimensions: 0.32 in length × 0.16 m in a diameter • Length/ diameter = 2 • Material: Gelatin • Initial bird mass: 5 kg • Magnitude of initial velocity: VZ = -50 m/s • SPH particle elements (PC3D) PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  4. Part module: Target • Target structure • Model type: Shell model • Shape: Square plate • Dimensions: 1m× 1m PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  5. Part module: Impactor • Impactor • Model type: Solid model • Shape: Cylinder with hemispherical caps • Dimensions:0.16 m in a diameter × 0.32 m in length PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  6. Property module:Al2024 (aluminum) PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  7. Property module: Gelatin PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  8. Assembly/Step module Coordinate (0.5, 0.5, 0.01) Coordinate (0,0,0) PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  9. Interaction module PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  10. Load module: Boundary conditions PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  11. Load module: Initial conditions PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  12. Mesh module: Target PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  13. Mesh module: Impactor The part with C3D8R, C3D6, or C3D4 elements or a combination of these elements can be converted to SPH particle elements (1-node PC3D element ). PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  14. Job module PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  15. Job module PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  16. Visualization module : Velocities Animation PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  17. Visualization module : Displacements Animation Target: 0 <X < 0.8 PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

  18. References: SPH modeling SPH modeling is available from Abaqus version 6.11. • ABAQUS 6.12 documentation: Abaqus Analysis User's Manual • “Smoothed particle hydrodynamic analyses,” Section 15.1 • “Equations of state,” Section 25.2 • “Section controls,” Section 27.1.4 • “Particle elements,” Section 28.5 • ABAQUS 6.12 documentation: Abaqus Example Problems Manual • “Impact of a water-filled bottle,” Section 2.3.2 • Journals/proceedings • Heimbs, S. 2011. “Computational Methods for Bird Strike Simulations: a Review,” Comput. & Struct., 89(23-24):2093-2112. • McCallum, S.C. and C. Constantinou. 2005. “The Influence of Bird-shape in Bird-strike Analysis,” presented at the 5th European LS-DYNA Users Conference, May 25-26, 2005. • Nanami, N. and O.O. Ochoa. 2012. “Computational Assessment of Bird Strike on Hybrid Composite Wind Turbine Blade,” In: Proceedings of the American Society for Composites 27th Annual Technical Conference, Arlington, Texas, USA, October 1-3, 2012. PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 3

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