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Static adhesion hysteresis occurs in elastic materials like graphene and microtubules due to irreversible bond breakage. A minimal theory explains this phenomenon, quantifying hysteresis and demonstrating its presence in microtubule experiments.

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Area of Science:

  • Physics, Materials Science, Biophysics

Background:

  • Adhesive interactions in elastic nanostructures (graphene, carbon nanotubes, microtubules) exhibit hysteresis.
  • This hysteresis arises from irreversible energy loss during bond breakage, even in static conditions.

Purpose of the Study:

  • To develop a minimal theory explaining static adhesion hysteresis in peeling elastic sheets.
  • To quantify hysteresis based on adhesion and elasticity parameters.
  • To experimentally verify the theory using bundled microtubules.

Main Methods:

  • Developed a minimal theoretical model coupling local bond breaking to nonlocal elastic relaxation.
  • Derived a scaling relation for hysteresis across different granularities.
  • Conducted experiments to demonstrate and measure adhesion hysteresis in bundled microtubules.

Main Results:

  • The model successfully explains static adhesion hysteresis in bonding/debonding cycles.
  • Quantified hysteresis using adhesion and elasticity parameters, revealing a scaling relation.
  • Experimental results confirmed adhesion hysteresis in bundled microtubules.

Conclusions:

  • Static adhesion hysteresis is a fundamental property of elastic systems with bond breakage.
  • The developed theory provides a framework for understanding and quantifying this phenomenon.
  • Experimental validation with microtubules supports the theoretical model's applicability.