A plate theory for nematic liquid crystalline solids

@article{Mihai2020APT,
  title={A plate theory for nematic liquid crystalline solids},
  author={L. Angela Mihai and Alain Goriely},
  journal={Journal of The Mechanics and Physics of Solids},
  year={2020},
  volume={144},
  pages={104101}
}

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References

SHOWING 1-10 OF 125 REFERENCES

Nematic elastomersA new state of matter

Continuum mechanical modeling of liquid crystal elastomers as dissipative ordered solids

Rigorous derivation of active plate models for thin sheets of nematic elastomers

In the context of finite elasticity, we propose plate models describing the spontaneous bending of nematic elastomer thin films due to variations along the thickness of the nematic order parameters.

Soft elasticity : deformation without resistance in liquid crystal elastomers

Polymeric nematic liquid crystals crosslinked into elastomers (solid liquid crystals) are shown to display novel and complex elasticity. The internal (nematic) direction can experience a barrier to

Geometry of thin nematic elastomer sheets.

It is shown that by inscribing a director field gradient across the sheet's thickness, one can obtain a nontrivial hyperbolic reference curvature tensor, which together with the prescription of a reference metric allows dictation of actual configurations for a thin sheet of nematic elastomer.

Material instabilities in nematic elastomers

Metric theory of nematoelastic shells.

  • L. Pismen
  • Materials Science
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2014
Three-dimensional reshaping of a thin nematoelastic film upon nematic-isotropic transition in the field of a charge one topological defect, leading to either cone or anticone shells, based on the relation between the shell metric and the tensor order parameter.

Theory of nematic networks

Using classical elasticity theory, the rise in free energy upon crosslinking nematogenic polymers into a network is calculated for the isotropic and nematic phases. Spontaneous strains are allowed

Blueprinting nematic glass: systematically constructing and combining active points of curvature for emergent morphology.

  • C. ModesM. Warner
  • Materials Science
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2011
This paper considers a subset of texture domains in nematic glasses that are simple to synthesize, and explores the ways that these simple domains may be compatibly combined to yield analogs of the traditional smooth disclination defect textures seen in standard liquid crystals.
...