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Janus filaments with intrinsic curvature reshape into complex, nonplanar shapes. Their looping behavior depends on curvature and twist, with multiple stable configurations possible.

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Area of Science:

  • Soft Matter Physics
  • Materials Science
  • Applied Mathematics

Background:

  • Janus filaments are composite materials with distinct properties on each side.
  • Nematic elastomers exhibit shape changes upon phase transitions, enabling actuation.
  • Intrinsic curvature can drive complex shape transformations in filaments.

Purpose of the Study:

  • To investigate the reshaping dynamics of closed Janus filaments with intrinsic curvature.
  • To analyze the influence of nematic elastomer actuation on filament morphology.
  • To understand the relationship between curvature, twist, and emergent stable shapes.

Main Methods:

  • Linear stability analysis to determine instability thresholds.
  • Numerical modeling of elastic energy minimization to find stable configurations.
  • Analysis of the effect of intrinsic curvature ratio (q) and imposed twist.

Main Results:

  • Instability thresholds for untwisted circles were identified, dependent on the curvature ratio (q).
  • Twisted circles showed absolute instability, but linear analysis predicted looping number dependence on twist.
  • Numerical simulations revealed multiple stable and metastable states with varying looping numbers.
  • Subcritical bifurcation for untwisted circles allows for lower-energy nonplanar shapes below critical q.
  • The looping number of stable shapes generally increases with the intrinsic curvature ratio (q).

Conclusions:

  • Actuation of nematic elastomers in Janus filaments leads to complex reshaping.
  • Filament morphology is highly sensitive to intrinsic curvature and applied twist.
  • Multiple stable configurations with different looping numbers can emerge, offering design flexibility.