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Area of Science:

  • Fluid dynamics
  • Materials science
  • Instability analysis

Background:

  • Buckling of films on elastic substrates is time-independent.
  • Time evolution is crucial for buckling on viscous fluid substrates.
  • Understanding fluid-structure interactions is key in materials science.

Purpose of the Study:

  • To analyze time-dependent buckling instabilities in fluid-structure interactions.
  • To model the emergence of imperfections from initial noise.
  • To investigate the transformation of wave packets into localized structures.

Main Methods:

  • Analysis of a growth function that amplifies initial noise.
  • Convolution of the growth function with experimental or numerical noise.
  • Experimental observation of wave packet amplification and dilution.

Main Results:

  • Buckling instabilities in fluid-structure interactions are governed by a growth function.
  • Initial noise is amplified, leading to wave packets with large-scale modulation.
  • Wave packets transform into ridges at low compression rates and wrinkles at high compression rates.

Conclusions:

  • The study provides a framework for understanding time-dependent buckling in fluid-structure systems.
  • Natural imperfections emerge from the interplay of growth functions and noise.
  • Compression rate dictates the final morphology, transitioning from ridges to wrinkles.