The Mechanics of Crumpled Thin Sheets Simon de Villiers, PGP, University of Oslo.

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Presentation transcript:

The Mechanics of Crumpled Thin Sheets Simon de Villiers, PGP, University of Oslo

Why Crumpled Paper? Ubiquitous Phenomena

Why Crumpled Paper? Ubiquitous Phenomena Power law statistics

Why Crumpled Paper? Ubiquitous Phenomena Power law statistics Self affine geometry

Why Crumpled Paper? Ubiquitous Phenomena Power law statistics Self affine geometry Contact area of rough surfaces

Why Crumpled Paper? Ubiquitous Phenomena Power law statistics Self affine geometry Contact area of rough surfaces Convenient in the laboratory

Balance Crumpled film Heavy stone table Computer controlled micrometer screw gauge Perspex plate Experimental Setup

Stress Relaxation

Stress Strain Relationship x cm circle of crumpled cellophane compressed 0.1mm every minute Time in seconds (incremental strain increase of 0.1mm per minute) Balance reading in grams (stress)

Stress Strain Relationship x cm circle of crumpled cellophane compressed 0.1mm every minute x Time in seconds (incremental strain increase of 0.1mm per minute) 16cm circle of crumpled cellophane compressed 0.1mm every minute Time in seconds (incremental strain increase of 0.1mm per minute) Balance reading in grams (stress)

Regularly Folded Paper

Single Point Forcing Response

3D Imaging

Summary The importance of crumpled disorder in thin sheets. Logarithmic relaxation of stress. Exponential increase of stress with strain. Linear increase of stress with strain for ordered/simple systems.

Geological Relevance Frictional processes Thin elastic sheet dynamics in geological systems Rough surfaces

Friction in the Experiment

Repetition of the Experiment

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