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Origami Inspired Self-assembly of Patterned and Reconfigurable Particles
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Self-assembly of flat sheets into closed surfaces.

Silas Alben1, Michael P Brenner

  • 1Division of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA. alben@deas.harvard.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
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Summary

Metastable structures can form when assembling 3D shapes from flat elastic sheets. The number of these states depends on sheet shape and thickness, with buckling strain being a key factor.

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Computational Physics

Background:

  • Recent experiments demonstrated 3D structure self-assembly from flat elastic sheets.
  • The potential for forming incorrect, metastable structures impacts the utility of this assembly method.

Purpose of the Study:

  • To investigate the factors influencing the number of metastable states in self-assembled structures.
  • To understand the role of sheet shape and thickness in the formation of metastable states.

Main Methods:

  • Utilized computational simulations and theoretical analysis.
  • Identified out-of-plane buckling as the critical event for metastability.
  • Applied dislocation theory from elastic media to estimate buckling strain.

Main Results:

  • The number of metastable states increases with greater boundary curvature variability.
  • Decreasing sheet thickness leads to a rapid increase in metastable states.
  • Buckling strain, crucial for metastability, can be predicted using elastic media dislocation theory.

Conclusions:

  • Out-of-plane buckling is the primary mechanism driving metastability in these systems.
  • Sheet geometry and thickness are critical parameters controlling the number of accessible metastable states.
  • Understanding these factors is essential for controlling self-assembly outcomes and avoiding undesired structures.