Abstract: We study the elongation of three–dimensional (3D) liquid crystal elastomers (LCE) under external electric field by using Finsler Geometry model. The interaction between liquid crystals (LC) and polymer (or bulk material) is implemented in the Finsler metric. For describing directional degrees of LC molecules, we use variable σ. Performing Monte Carlo simulation for 3D LCE object, we find that the strain versus electric field is in good agreement with reported experimental data.
Keywords: liquid crystal elastomers, monte carlo, finsler geometry, external electric field