Abstract: Negative liquid crystal MBBA that aligns along the normal to the plates in liquid crystal cell will arise the flexoelectric effect when a external electric field is applied in the plane of slab.Based on the elastic theory of liquid crystal and variation theory, the effect is studied, and the differential equation and boundary condition about the director of liquid crystal have heen obtained.Finite-difference iterative method is used for numerical solution. Under the approximation of small angle, analytical solution of the distribution of the director has been also obtained, and compared with the numerical solution and the result of book.

Key words: flexoelectric effect, negative liquid crystal, weak anchoring, finite-difference iterative method