Level Set Experiments in Folding and Kinking

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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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Jon and Chris in Bude
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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)

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




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