INTRODUCTION TO ABAQUS

Example 3: Smoothed particle hydrodynamics (SPH) modeling for an impact problem1PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYEXAMPLE 3SPH 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 modelingEffective for applications involving extreme deformationIn 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.2PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYOverview: SPH modelingEXAMPLE 3Problem description3EXAMPLE 3PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY

Direct impact problemA soft body (5kg) with 50 m/sec impacts on the aluminum plate.Aluminum plateDimensions: 1m 1m 0.002mMaterial type: Linearly elastic behavior with isotropic hardening Element : Shell elements (S4R)Mesh size: 0.01m-0.05mBoundary condition: Four edges are fully constrained.Soft body impactorShape: cylinder with two hemispherical capsDimensions: 0.32 in length 0.16 m in a diameterLength/ diameter = 2 Material: GelatinInitial bird mass: 5 kgMagnitude of initial velocity: VZ = -50 m/sSPH particle elements (PC3D)Part module: Target4EXAMPLE 3

Target structureModel type: Shell modelShape: Square plateDimensions: 1m 1m

PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYPart module: Impactor5EXAMPLE 3

ImpactorModel type: Solid modelShape: Cylinder with hemispherical capsDimensions: 0.16 m in a diameter 0.32 m in lengthPREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY

Property module:Al2024 (aluminum)6EXAMPLE 3

PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYProperty module: Gelatin7PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYEXAMPLE 3

Assembly/Step module8PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYEXAMPLE 3

Coordinate(0,0,0)

Coordinate(0.5, 0.5, 0.01)

Interaction module9PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYEXAMPLE 3

Load module: Boundary conditions10PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYEXAMPLE 3

Load module: Initial conditions11PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYEXAMPLE 3

Mesh module: Target12PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYEXAMPLE 3

Mesh module: Impactor13PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYEXAMPLE 3

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 ).Job module 14PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYEXAMPLE 3

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

Visualization module : Velocities16PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYEXAMPLE 3

AnimationVisualization module : Displacements17PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITYEXAMPLE 3

Target: 0