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Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding
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Crumpling wires in two dimensions.

Y C Lin1, Y W Lin, T M Hong

  • 1Department of Physics, National Tsing Hua University, Hsinchu 30043, Taiwan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 5, 2009
PubMed
Summary
This summary is machine-generated.

This study simulates elastically crumpled wires, revealing constant mass and stiffness exponents. These findings align with experimental results, offering insights into the mechanical properties of crumpled materials.

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Computational mechanics

Background:

  • Crumpled materials exhibit complex mechanical properties.
  • Understanding elastically crumpled wires is crucial for materials science.
  • Previous studies have not fully explored intermediate cavity occupancy.

Purpose of the Study:

  • To simulate and analyze the mechanical properties of elastically crumpled wires in 2D.
  • To investigate the behavior at intermediate cavity occupancy.
  • To determine key exponents like size-mass and stiffness exponents.

Main Methods:

  • Developed an energy-minimal simulation for 2D elastic wires.
  • Varied the radius of gyration up to one-twentieth of the wire length.
  • Tuned bending rigidity and stretching modulus to analyze energy allocation and exponents.

Main Results:

  • The size-mass exponent (D_M) was found to be constant at 1.33.
  • The stiffness exponent (alpha) was constant at -0.25.
  • The stiffness exponent showed variation with plasticity parameters (s and theta_p).

Conclusions:

  • The simulation accurately reproduces experimental findings for elastically crumpled wires.
  • The study provides quantitative exponents describing the mechanical behavior.
  • Insights into plasticity effects on crumpled wire mechanics were gained.