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Example 2: Lagrangian modeling for an impact problem

Example 2: Lagrangian modeling for an impact problem. EXAMPLE 2. Problem description. Direct impact problem A rigid body (5 kg ) with 50 m/sec impacts on the aluminum plate. Aluminum plate Dimensions : 1m× 1m× 0.002m Material type: Linearly elastic behavior with isotropic hardening

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Example 2: Lagrangian modeling for an impact problem

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  1. Example 2: Lagrangian modeling for an impact problem PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  2. Problem description Direct impact problem A rigid body (5 kg) 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. • Rigidbody impactor • Shape: cylinder with two hemispherical caps • Dimensions: 0.32 in length × 0.16 m in a diameter • Length/ diameter = 2 • Initial bird mass: 5 kg • Magnitude of initial velocity: VZ = -50 m/s • Rigid elements (R3D4) PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  3. Part module: Target • Target structure • Model type: Shell model • Shape: Square plate • Dimensions: 1m× 1m PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  4. Part module: Impactor • Reference geometry for an Impactor • Model type: Discrete rigid model • Shape: Cylinder with hemispherical cap and straight end • Dimensions:0.16 m in a diameter × 0.32 m in length PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  5. Property module:Al2024 (aluminum) PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  6. Property module: Inertia PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  7. Assembly/Step module Coordinate (0.5, 0.5, 0.01) Coordinate (0,0,0) PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  8. Interaction module PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  9. Load module: Boundary conditions PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  10. Load module: Initial conditions PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  11. Mesh module PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  12. Job module PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  13. Load module: Boundary conditions PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  14. Visualization module : Velocities Animation PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  15. Visualization module : Displacements Animation Target: 0 <X < 0.8 PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

  16. References: Lagrangian modeling Lagrangian modeling is very traditional, available • ABAQUS 6.12 documentation: Abaqus Analysis User's Manual • “Rigid elements,” Section 30.3 • ABAQUS 6.12 documentation: Abaqus Example Problems Manual • “Rigid projectile impacting eroding plate,” Section 2.1.3 PREPARED BY NORI. NANAMI, TEXAS A & M UNIVERSITY EXAMPLE 2

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