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Updated: May 22, 2025

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp
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Asymmetric bending boundary layer: The λ-test.

Nathan Vani1, Alejandro Ibarra1, José Bico1

  • 1Physique et Mécanique des Milieux Hétérogènes, CNRS UMR7636, Ecole Supérieure de Physique et Chimie Industrielles de Paris, Paris Sciences et Lettres Research University, Sorbonne Université, Université de Paris, Paris 75005, France.

Proceedings of the National Academy of Sciences of the United States of America
|March 13, 2025
PubMed
Summary
This summary is machine-generated.

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Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
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We found that the binding angle of pulled ribbons reveals their bending stiffness, challenging assumptions about thin shells. This discovery enables a new visual test for membrane characterization.

Area of Science:

  • Materials Science and Engineering
  • Mechanical Engineering
  • Physics of Soft Matter

Background:

  • Thin shells are often assumed to have negligible bending stiffness under large tensile loads.
  • Understanding the mechanics of bound structures is crucial for designing flexible materials and devices.
  • Asymmetric structures present unique challenges in predicting their mechanical response.

Purpose of the Study:

  • To investigate the mechanics of two asymmetrically bound ribbons pulled apart.
  • To characterize the elastic junction and its relationship with pulling force and bending stiffness.
  • To challenge the conventional assumption of neglecting bending stiffness in thin shells under tension.

Main Methods:

  • Experimental investigation of the mechanics of bound asymmetric ribbons.
Keywords:
bending stiffnessboundary layerelasticityslender structures

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Last Updated: May 22, 2025

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  • Characterization of the elastic junction as a bending boundary layer.
  • Analysis of the rotational response and its dependence on asymmetry and pulling force.

    • Main Results:

    • The binding angle serves as a macroscopic signature of bending stiffnesses, decreasing with pulling force.
    • The rotational response exhibits nonlinear and universal behavior, independent of the asymmetry ratio.
    • The study challenges the neglect of bending stiffness in thin shells under significant tensile loading.

    Conclusions:

    • The binding angle is a reliable indicator of bending stiffness, even under large tensile forces.
    • A novel visual measurement technique, the lambda-test, is introduced for membrane characterization.
    • Results necessitate a re-evaluation of mechanical assumptions for thin shells in engineering applications.