Abstract: In this paper, the elongation phenomenon of liquid crystal elastomer (LCE) under electric field is studied by Finsler geometry (FG) modeling technique and Monte Carlo (MC) simulations. In this FG technique, the geometry inside the LCE is modified by replacing the ordinary Euclidean metric by a Finsler metric. As a consequence of this replacement, the polymer position is included in the Hamiltonian as a dynamical variable, and an interaction of LC molecules and polymers is effectively or implicitly introduced. The MC results for the elongation of LCE are compared with existing experimental data. We find that the MC results are in good agreement with the experimental data. This implies that the FG modeling correctly describes the interaction of LC molecules and polymers in spite of the fact that the interaction is implicitly introduced by the modification of the geometry inside the material.
Keywords: j-shaped stress-strain diagram, collagen fibers, finsler geometry model, monte carlo