为了解决液晶连续体理论中出现的Oldano-Barbero矛盾，用有限元方法计 算平行排列盒中的指向矢分布．对于线性插值，表面弹性能项没有实质性贡献， 因此使用了Lagrange三点插值和五点插值．当 项为0时，线性插值、三点插值和 五点插值给出了完全相同的指向矢分布曲线．当 项不为0时三点插值与五点插值 给出了定域在各个单元内的振荡曲线%In order to solve Oldano-Barbero paradox caused by the splay -bend elastic constant k13 in the continuum theory of nematic liquid c rystals,we determine the distribution of the director in the planar al ignment nematic liquid crystal cell by means of finite elements method .To linear interpolation,the surface elastic constant has not any ess ential effect,so three-node and five-node Lagrange interpolations are used.The same curves for the distribution of the director are obtained by three kinds of interpolations when k13 term is not conerned.Surged curves with fixed period appear when k13 term is taken into account b y three-node and five-node interpolations,respectively.
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