Mechanical Testing of Monolayers, 2. Substrate Decoupling in the Long-Wave Approximation

Kevin C. O’Brien, J. Adin Mann, Jerome B. Lando

Research output: Contribution to journalArticlepeer-review


The long-wave approximation was used to analyze the coupling between the water subphase and monolayer film during the course of slow dynamic-mechanical deformation. The motion of tracer particles was used to examine experimentally particle velocity gradients over the length and width of the film. For sufficiently slow strain, experimental data and the theory support the contention that the gradient of the particle velocity is negligible over the film. These results imply that the coupling between the monolayer and the water subphase is negligible for the strain frequencies and amplitudes studied. The monolayer behaves mechanically as an autonomous viscoelastic sheet under these conditions. A condition for this behavior is that h/λ0≪ Nca where h is the depth of the subphase, λ0the wavelength, and Nca the capillary number.

Original languageEnglish (US)
Pages (from-to)338-341
Number of pages4
Issue number3
StatePublished - 1986
Externally publishedYes

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Surfaces and Interfaces
  • Spectroscopy
  • Electrochemistry


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