The so-called J-shaped stress-strain diagrams of soft biological tissues such as animal skin and muscles are also reproduced by the 2D FG model. This soft elasticity arises because the director orientation and the shape of material interact with each other. The soft elasticity, in which the stress-strain diagram includes a plateau, is also reproduced by the FG model. , the interaction between the LC molecules and polymers is coarse-grained and implemented in the 3D Finsler geometry (FG) model, and the elongation phenomenon is successfully explained. This interaction, which is a direct consequence of the geometry deformation, provides a good description of the shape deformation of the LCE disk under light irradiation. ![]() In this FG model, the interaction between σ, which represents the director field corresponding to the directional degrees of LC, and the polymer position is introduced via the Finsler metric. We find that this shape change of the disk can be reproduced using the FG model. ![]() ![]() However, the mechanism of the shape change is still insufficiently understood because to date, the positional variable for the polymer has not been directly included in the interaction energy of the models for this system. This inhomogeneity of the director orientation on/inside the LCE is considered as the origin of the shape change that drives the disk on the water in the direction opposite the movement of the light spot. In the reported experiment, the upper surface is illuminated by a light spot, and the nematic ordering of directors is influenced, but the nematic ordering remains unchanged on the lower surface contacting the water. In this paper, we show that the 3D Finsler geometry (FG) modeling technique successfully explains a reported experimental result: a thin liquid crystal elastomer (LCE) disk floating on the water surface deforms under light irradiation.
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