Dynamic Local Remeshing for Elastoplastic Simulation Martin Wicke - - PowerPoint PPT Presentation

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Dynamic Local Remeshing for Elastoplastic Simulation Martin Wicke - - PowerPoint PPT Presentation

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Dynamic Local Remeshing for Elastoplastic Simulation Martin Wicke Daniel Ritchie Bryan Klingner Sebastian Burke Jonathan Shewchuk James OBrien Sunday, August 1, 2010 Sunday, August 1, 2010 Sunday, August 1, 2010 Sunday, August 1,

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Martin Wicke Daniel Ritchie Bryan Klingner Sebastian Burke Jonathan Shewchuk James O’Brien

Dynamic Local Remeshing for Elastoplastic Simulation

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SLIDE 3

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SLIDE 4

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Overview

  • Dynamic, local remeshing
  • Plasticity using material space remeshing

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SLIDE 6

Finite Element Simulation

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Deformation Material Space World Space

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SLIDE 7

Finite Element Simulation

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Strain/Stress/Forces Deformation Material Space World Space

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SLIDE 8

Finite Element Simulation

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Deformation Material Space World Space Plastic deformation

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Plasticity

Deformation Plastic deformation Material Space World Space

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Plasticity

Deformation Plastic deformation Material Space World Space

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SLIDE 11

Plasticity

Deformation Plastic deformation Material Space World Space

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Plasticity

Deformation Plastic deformation Material Space World Space

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No Mesh!

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Plasticity

Deformation Plastic deformation Material Space World Space

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No Mesh!

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Remeshing

Material Space World Space

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SLIDE 15

Remeshing

Material Space World Space

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Remeshing

Material Space World Space

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Remeshing

? ??

Material Space World Space

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Remeshing

? ??

Resampling

Bargteil et al. [2007]

Material Space World Space

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Artificial Plasticity

Material Space Remeshing World Space Remeshing

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Artificial Plasticity

Material Space Remeshing World Space Remeshing

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Artificial Plasticity

Material Space Remeshing World Space Remeshing

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Our Solution

Deformation Plastic deformation Material Space World Space

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Our Solution

Deformation Plastic deformation Material Space World Space

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Our Solution

Material Space World Space

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Our Solution

Material Space World Space

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Our Solution

Material Space World Space

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Our Solution

Material Space World Space

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Our Solution

Material Space World Space

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Our Solution

Material Space World Space

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Our Solution

Material Space World Space

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?

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Our Solution

Material Space World Space

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Resampling

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Varying Plasticity

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Elastic

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Varying Plasticity

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Elastic

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Varying Plasticity

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Elastic

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Varying Plasticity

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High Medium Low Varying Elastic

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Varying Plasticity

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High Medium Low Varying Elastic

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Elastic Material

Material Space World Space

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High Plasticity

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Material Space World Space

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Medium Plasticity

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Material Space World Space

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Low Plasticity

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Material Space World Space

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Mixed Plasticity

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Material Space World Space

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Material Space World Space

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No remeshing Adaptive refinement

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No remeshing Adaptive refinement

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No remeshing Adaptive refinement

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No remeshing Adaptive refinement

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Why Dynamic Remeshing?

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completely reshape domain

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Why Dynamic Remeshing?

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control element quality completely reshape domain

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Why Dynamic Remeshing?

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adaptive refinement and coarsening control element quality completely reshape domain

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Dynamic Local Remeshing

  • Remesh as little as possible

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Dynamic Local Remeshing

  • Remesh as little as possible
  • Target only bad tets

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Dynamic Local Remeshing

  • Remesh as little as possible
  • Target only bad tets
  • Improve mesh in every time step

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Dynamic Local Remeshing

Local operations:

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Dynamic Local Remeshing

Local operations:

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Dynamic Local Remeshing

Local operations:

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Dynamic Local Remeshing

Local operations:

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Dynamic Local Remeshing

Local operations:

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Dynamic Local Remeshing

Local operations:

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Dynamic Local Remeshing

Local operations:

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Dynamic Local Remeshing

Local operations:

  • Require improvement after each operation

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Dynamic Local Remeshing

Local operations:

  • Require improvement after each operation
  • Schedule most local operations first

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Mesh Quality

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Mesh Quality

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Mesh Quality

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Remeshing Events

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Surface Preservation

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Surface Preservation

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Surface Preservation

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  • Vertex smoothing modifies surface

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Surface Preservation

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  • Vertex smoothing modifies surface
  • Control surface modification using quadric error

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Contributions

  • Dynamic, local remeshing is possible and

necessary

  • Maintaining a minimum strain energy mesh

greatly reduces artificial plasticity

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Conclusions (I)

Dynamic Local Remeshing

  • Maintains high quality throughout
  • Enables adaptivity
  • More accurate than remeshing from scratch

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Conclusions (II)

Strain energy minimizing material space mesh

  • Lower resampling error, lower artificial plasticity
  • Materials from purely elastic to very plastic

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?

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Conclusions (II)

Strain energy minimizing material space mesh

  • Lower resampling error, lower artificial plasticity
  • Materials from purely elastic to very plastic

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?

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SLIDE 77

http://graphics.berkeley.edu/papers/Wicke-DLR-2010-07/

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SLIDE 78

http://graphics.berkeley.edu/papers/Wicke-DLR-2010-07/

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