Finsler geometry modeling of elongation of flexible materials under external electromagnetic field

ABSTRACT

We study numerically elongation phenomena of flexible materials, such as liquid crystal (LC) elastomers (or ferroelectric polymers FEP), under external electromagnetic fields using Finsler geometry (FG) model. In this model, the interaction between LC molecules (or monomers) and the bulk material is implemented in the Finsler metric, the elements of which are considered to be dependent on the LC molecule direction (or the polarization of monomers in FEP). We have found out from Monte Carlo data that dependence of strain versus external field is consistent with existing experimental data.

KEYWORDS:

• Liquid crystal elastomer
• ferroelectric polymers
• piezoelectricity
• external filed induced elongation
• Finsler geometry

Funding

The author (H.K.) acknowledges that this work is supported in part by JSPS KAKENNHI Number 26390138.