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Structural transition from helices to hemihelices.

Jia Liu1, Jiangshui Huang1, Tianxiang Su1

  • 1School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts, United States of America.

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|April 25, 2014
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Summary
This summary is machine-generated.

Complex helical shapes, called hemihelices, can be formed from flat strips. The number of shape reversals depends on the strip's cross-section dimensions, enabling controlled 3D shape manufacturing.

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Area of Science:

  • Physics
  • Materials Science
  • Mechanics of Materials

Background:

  • Helices are ubiquitous in nature.
  • Hemihelices, formed by joining two helices of opposite chirality with a perversion, are a related complex shape.
  • Previous analyses did not predict complex hemihelices with multiple chirality reversals.

Purpose of the Study:

  • To investigate the factors influencing the transition from helical to hemihelical shapes.
  • To understand the formation of multiple perversions in hemihelices.
  • To provide a basis for manufacturing complex 3D shapes from flat strips.

Main Methods:

  • Theoretical analysis of elastic strip behavior.
  • Experimental studies using elastomer strips.
  • Varying the height-to-width ratio of the strip's cross-section.

Main Results:

  • The transition to a hemihelical shape and the number of perversions are dependent on the cross-sectional height-to-width ratio.
  • Complex hemihelical structures with multiple reversals of chirality can be formed.
  • Experimental results align with theoretical predictions.

Conclusions:

  • The cross-sectional geometry of elastic strips dictates the formation of complex helical and hemihelical structures.
  • This research offers a method for the deterministic fabrication of diverse 3D shapes from flat materials.
  • Findings open new avenues in programmable matter and soft robotics.