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Smectic-C tilt under shear in smectic-A elastomers.

Olaf Stenull1, T C Lubensky, J M Adams

  • 1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2008
PubMed
Summary
This summary is machine-generated.

Shear strain in smectic elastomers induces director tilt, transitioning smectic-A to smectic-C-like phases. This study models and quantifies this tilt under various shear conditions, validating experimental findings.

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Area of Science:

  • Materials Science
  • Soft Matter Physics
  • Polymer Science

Background:

  • Smectic elastomers exhibit coupled shear strain and director tilt.
  • Previous work suggested simple shear induces smectic-C-like tilt in smectic-A elastomers.
  • Experimental evidence for this phenomenon has been recently reported.

Purpose of the Study:

  • To generalize a model for smectic elastomers.
  • To study the magnitude of smectic-C-like tilt under shear for two specific geometries.
  • To compare model predictions with experimental results.

Main Methods:

  • Generalization of the Adams and Warner model for smectic elastomers.
  • Theoretical analysis of director tilt under shear strain.
  • Estimation of tilt angles for two distinct shear geometries.
  • Comparison of theoretical estimates with experimental data from Kramer and Finkelmann.

Main Results:

  • The generalized model successfully predicts smectic-C-like tilt under simple shear.
  • Estimates for tilt angles were obtained for both shear geometries.
  • One shear geometry was found to induce additional in-plane compressions, leading to instabilities.
  • Model predictions show good agreement with experimental observations for the simple shear geometry.

Conclusions:

  • Shear strain is a significant factor in controlling director orientation in smectic elastomers.
  • The generalized model provides a quantitative framework for understanding shear-induced tilt.
  • Further investigation is needed for shear geometries that induce complex stress states and instabilities.