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Memory from coupled instabilities in unfolded crumpled sheets.

Dor Shohat1,2, Daniel Hexner3, Yoav Lahini1,2

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Summary
This summary is machine-generated.

Crumpling thin sheets creates complex structures with memory. This study links geometric changes to mechanical behaviors like memory retention, explaining how crumpled materials store information.

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Area of Science:

  • Soft Matter Physics
  • Materials Science
  • Complex Systems

Background:

  • Crumpling thin sheets results in unique mechanical properties, including rigidity, noise emission, and memory.
  • Understanding the role of complex sheet geometry is crucial for explaining these emergent behaviors.

Purpose of the Study:

  • To correlate the global mechanical response of crumpled sheets with their underlying geometric transformations.
  • To investigate the mechanisms behind memory retention and formation in crumpled structures.

Main Methods:

  • Utilized cyclic driving protocols to apply controlled strain to unfolded crumpled sheets.
  • Employed three-dimensional (3D) imaging to visualize and analyze geometric changes during mechanical testing.
  • Developed a simple model to validate experimental findings.

Main Results:

  • Crumpled sheets exhibit intermittent and hysteretic responses to cyclic strain.
  • The mechanical response encodes a memory of the maximum applied compression.
  • Observed behaviors arise from the interplay of localized, interacting geometric instabilities.
  • Demonstrated the encoding of multiple memories, including return point memory.

Conclusions:

  • The complex mechanics and memory phenomena in crumpled sheets are driven by geometric instabilities.
  • Established an experimental and theoretical framework for studying memory formation in systems with interacting instabilities.
  • Provides foundational insights into the behavior of crumpled materials.