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Simulation of mixed-mode using spring networks

This study presents a simulation of mixed-mode fracture processes using a rigid-body spring network approach. Modes are defined according to Linear Elastic Fracture Mechanics (LEFM), employing both regular and irregular geometries. The research highlights challenges in simulating homogeneous materials with irregular geometries. A comparison is made between simulation outcomes and finite element method (FEM) software results, particularly focusing on crack patterns and stress analysis. The study concludes that lattice models can effectively simulate fracture processes, although relationships between overall and beam properties merit further investigation.

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Simulation of mixed-mode using spring networks

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  1. Simulation of mixed-mode using spring networks Jan Eliáš Institute of Structural Mechanics Faculty of Civil Engineering Brno University of Technology Czech Republic

  2. Modes definition • according to LEFM

  3. Lattice, spring network • regular geometry => strong mesh dependency • irregular geometry => problems with representation of homogenous material

  4. Rigid-body-spring network • rigid cells interconnected by normal and shear spring • all springs are ideally brittle

  5. Aggregates • generated according Fuller curve • three material phases are distinguished

  6. Tensile test simulated by strut lattice • discrepancy between experiment and simulation probably caused by incorrect measuring of displacements

  7. Mixed-mode simulation • correct crack pattern only with rigid-body-spring network simple strut lattice rigid-body-spring network

  8. Comparison with FEM software Atena • crack pattern • l-d curve

  9. Comparison of stresses • notice that comparison is between principal stresses and normal stresses and not at exact same point of l-d curve

  10. Elastically uniform lattice Voronoi tessellation centre of gravity tessellation

  11. Tessellation of domain 1 • input is the set of nodes and virtual specimen borders

  12. Tessellation of domain 2 • Delaunay triangulation including mirrored nodes

  13. Tessellation of domain 3 • Voronoi tessellation to ensure elastically uniform lattice = connected centres of escribed circles

  14. Tessellation of domain 4 • input is the set of circles and virtual specimen borders

  15. Tessellation of domain 5 • modified Delaunay triangulation – control circle tangents three input circles

  16. Tessellation of domain 6 • connect centres of control circles

  17. Conclusions • lattice models are able to simulate a fracture process • relationship between overall properties and beam properties is not clear • modified Voronoi tessellation of domain has been suggested

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