Advanced Peridynamics Modeling for Predicting Anisotropic Crack Growth in Forged Materials

Presentation link

Jan-Timo HesseORCID Symbol, Christian WillbergORCID Symbol, Eric BreitbarthORCID Symbol and Florian PaysanORCID Symbol

USACM Thematic Conference, Quarter Century of Peridynamics
April 23th to 25th, 2024, Tucson

Presentation URL: https://perihub.github.io/Presentations/USACM_2024

Forged Components

  • Metals
  • Compressive force
  • Alluminium alloy:
    • High tensile strength
    • Applications in aerospace

Forged Components

Isotropic

Anisotropic

EBSD Scans by: Otto Fuchs
  • Highly diverse material properties
  • Anisotropic damage behavior depends on material orientations
  • Time and cost-consuming identification of material properties

Orientations

EBSD Scans by: Otto Fuchs

Compact Tension Specimen

Parameter Value

Specimen Geometry: ASTM E647-15

Experimental Setup

Loading Force

Parameter Value

Material: AA7010-T7452

Parameter Value

ARAMIS High-Speed DIC Systems

Video by: Carl Zeiss GOM Metrology GmbH

Experimental Results

Peridynamics

Energy-based damage model by Foster

Advanced energy-based damage model

  • Material orientation angle
  • Inverse rotation of Bonds and
  • Projection of and in the and directions
Bond Bond components

Advanced energy-based damage model

PeriLab - Peridynamic Laboratory

  • 🔑 Open Source

  • 🚀 Easy Installation

  • ✒️ Modularization

  • 🎨 User Materials

  • 🧲 Multiphysics

  • 💻 HPC capabilities

  • 📤📥 Exodus Input/Output

  • 🧮 Abaqus Input

quadrantChart x-axis Low Functionalty --> High Functionalty y-axis Hard to use --> Simple to use Peridigm: [0.85, 0.2] PeriLab: [0.5, 0.8] EMU: [0.95, 0.1] PeriPy: [0.2, 0.7] PeriPyDIC: [0.2, 0.6] LAMMPS: [0.3, 0.3] PeriFlakes: [0.35, 0.4] Relation-Based Software: [0.4, 0.25] BB_PD: [0.2, 0.50] PeriDEM: [0.13, 0.3]

Compact Tension Specimen | PeriLab Results

Crack Path

  • Resulting Damage indices extracted
  • Weighted least-squares approximation
  • Crack angle

Compact Tension Crack Path

Discussion and further work

  • Basic phenomenon can be represented
  • How to deal with occuring failure mechanisms
  • Material Models
    • Plasticity
  • Discretization and non uniform mesh
  • Sensitivity Analysis

Thank you

Jan-Timo Hesse (DLR)
Florian Paysan (DLR)
Christian Willberg (h2)
Eric Breitbarth (DLR)

References

  1. Foster, John & Silling, Stewart & Chen, Weinong. (2011). An energy based failure criterion for use with peridynamic states.
  2. Willberg, Christian & Wiedemann, Lasse & Rädel, Martin. (2019). A mode-dependent energy-based damage model for peridynamics and its implementation.
  3. Willberg, Christian & Hesse, Jan-Timo & Pernatii, Anna. (2024). PeriLab - Peridynamic Laboratory.

Funding

Name Logo Grant number
German Research Foundation WI 4835/5-1
Saxon State Parliament 3028223
Federal Ministry for Economic Affairs and Climate Action 20W2214G

-Electron backscatter diffraction -Grain structure of an alluminium alloy -

-Fracture Toughness -Sine wave function

-Black-white pattern -Compression test -Resulting surface stresses and displacments

-Critical Energy -Energy release rate -Fracture toughness -Damage index -Bond energy -Bond force density vector states -

-Two displaced bonds eta_a and eta_b

-Critical Energy -Energy release rate dependend on alpha -Rotated Bond -Rotated Bond components -Bond energy components

-Goal: as easy to use while keeping it modular and extensible

-Gradient is quite similar in the right section -Gradient is to high in the start of the crack propagation

-We could determine three diferent failure mechanisms by looking at the crack surface