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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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Single Molecule Methods for Monitoring Changes in Bilayer Elastic Properties
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Published on: November 3, 2008

Squeezing instabilities and delamination in elastic bilayers: a linear stability analysis.

Hemalatha Annepu1, Jayati Sarkar

  • 1Department of Chemical Engineering, Indian Institute of Technology Delhi, New Delhi 110 016, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2012
PubMed
Summary

Instabilities in thin elastic bilayers under external contact can lead to film delamination. Increased top film compliance reduces instability and delamination, while surface tension offers stabilization.

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Thin Film Physics

Background:

  • Elastic bilayers composed of wetting and adhesive films are crucial in various applications.
  • Understanding interfacial instabilities is key to predicting material behavior and failure.
  • Contact mechanics involving thin films present unique challenges due to nanoscale dimensions.

Purpose of the Study:

  • To investigate the linear stability of an elastic bilayer system in proximity to a rigid contactor.
  • To identify and characterize the types of instabilities, termed "squeezing modes," that can occur.
  • To analyze the influence of material compliance and surface tension on instability characteristics and delamination.

Main Methods:

  • Linear stability analysis of a two-layer elastic system.
  • Modeling of a thin wetting film and a compliant adhesive film under external contact.
  • Parametric study varying layer compliance and surface tension effects.

Main Results:

  • "Squeezing modes" of instability were identified with characteristic length scales ranging from 0.1h to 3h (h: bilayer thickness).
  • These instabilities are intrinsically linked to the delamination of the film-film interface.
  • Increasing the compliance of the top adhesive film significantly reduces instability length scales, required interaction strength, and delamination extent.
  • Surface tension was found to stabilize the system, increasing instability length scales and reducing delamination, but at the expense of higher interaction penalties.

Conclusions:

  • The compliance of the constituent layers critically dictates the stability of elastic bilayers under contact.
  • Delamination is an inherent consequence of the identified squeezing instabilities.
  • Surface tension provides a stabilizing effect, but its benefits are counteracted by increased adhesion requirements.