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Residual Stresses in Bending01:18

Residual Stresses in Bending

In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...
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Artificial Thermal Ageing of Polyester Reinforced and Polyvinyl Chloride Coated Technical Fabric
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Published on: January 29, 2020

Nonperturbative model for wrinkling in highly bendable sheets.

B Davidovitch1, R D Schroll, E Cerda

  • 1Physics Department, University of Massachusetts, Amherst, Massachusetts 01003, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

Wrinkled thin films exhibit continuous wrinkle growth beyond buckling. A new model reveals anomalous scaling of wrinkle number and an invariant quantity governing wrinkle evolution.

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Physics of Thin Films

Background:

  • Thin film geometry changes significantly when applied stress surpasses the buckling threshold.
  • Existing models often use post-buckling approaches, which may not apply to highly bendable sheets.

Purpose of the Study:

  • To derive and analyze a minimal, nonperturbative equation set for radial wrinkle evolution in axisymmetric geometry.
  • To describe wrinkle growth from the buckling threshold to the far-from-threshold regime.

Main Methods:

  • Derivation of a minimal, nonperturbative set of equations.
  • Numerical analysis of the derived model for wrinkle evolution.

Main Results:

  • The number of wrinkles shows anomalous scaling with sheet thickness and applied load, differing from prior predictions.
  • An invariant quantity was identified that characterizes the coupled variation of wrinkle amplitude and number.

Conclusions:

  • The derived model offers a novel description of wrinkle growth in thin films, distinct from traditional post-buckling methods.
  • The findings suggest new scaling laws and a conserved characteristic for wrinkle development in bendable sheets.