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Simulation of mixed-mode using spring networks

Simulation of mixed-mode using spring networks. Jan Eliáš. Institute of Structural Mechanics Faculty of Civil Engineering Brno University of Technology Czech Republic. Modes definition. according to LEFM. Lattice , spring network.

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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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