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Level Set Experiments in Folding and Kinking

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Title: Level Set Experiments in Folding and Kinking


1
Level Set Experiments in Folding and Kinking
  • Giles Hunt, Chris Budd and Jonathan Boon
  • Centre for Nonlinear Mechanics (CNM)
  • Bath Institute for Complex Systems (BICS)
  • University of Bath UK

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3
Jon and Chris in Bude
4
Setting the Scene
  • Linear elasticity (plus friction)
  • Thin-skin structures (plates and shells)
  • (localization, spatial chaos, cellular
  • or serial buckling)
  • Mechanics of layered structures
  • (parallel folding, kink-banding)

5
Thin-skin Mechanics (eg Plates and Shells)
A
6
Axially Compressed Cylindrical Shell
circumferentially periodic axially localized
7
Destab./Restab. Leads to Cellular Buckling
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Somewhere in Alaska
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12
Experiments on layers of paper (courtesy of
Ahmer Wadee, Rorie Edmunds, Jonathan Boon)
Lateral load
13
In-between States
14
Level Sets
15
Singularities Lead to Lockup
Lagrangian formulation
Eulerian formulation
Serial folding
16
Level Sets and Kink-Bands
Salient and re-entrant corners
Different lockup mechanism
17
Comparative Models
P
?
18
Comparisons with Experiments
19
Thin samples




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Solid Mechanics
A few numerical experiments (courtesy of Hans
Mühlhaus)
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