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August 19, 2026Continuum Mechanics and ThermodynamicsOpen Access

Multilevel approach for simulating the reorientation of mesogens in nematic liquid crystal elastomers

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Authors

FCFrancesca ConcasMGMichael Groß

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Overview

Computational modeling study demonstrates an efficient multilevel simulation of mesogen reorientation in nematic liquid crystal elastomers, highlighting improved numerical stability for artificial...

Key Points

  • To develop and evaluate an efficient multilevel numerical procedure for simulating mesogen reorientation and deformation in nematic liquid crystal elastomers.
  • Implemented a dynamic numerical framework utilizing distinct drilling degrees of freedom for the separate rotations of mesogens and the bulk elastomer.
  • Formulated an invariant free energy density to prevent tangent singularities and employed static condensation to resolve local nodal rotations within the global system.
  • Validated the multilevel framework against a conventional monolithic procedure across virtual experiments with Dirichlet and Neumann boundary conditions.
  • The multilevel approach successfully resolved local elementwise rotational equations at each time step while eliminating tangent singularities.
  • The method accurately captured mesogen reorientation and mechanical response comparable to monolithic simulations under mixed boundary conditions.

Cite This Study

Concas et al. (2026) studied this question.

synapsesocial.com/papers/6a85634f03308d306e2d6532https://doi.org/10.1007/s00161-026-01519-8
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