河北工业大学学报
河北工業大學學報
하북공업대학학보
JOURNAL OF HEBEI UNIVERSITY OF TECHNOLOGY
2001年
1期
37-41
,共5页
液晶连续体理论%平行排列盒%表面弹性系数%有限元方法
液晶連續體理論%平行排列盒%錶麵彈性繫數%有限元方法
액정련속체이론%평행배렬합%표면탄성계수%유한원방법
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
為瞭解決液晶連續體理論中齣現的Oldano-Barbero矛盾，用有限元方法計 算平行排列盒中的指嚮矢分佈．對于線性插值，錶麵彈性能項沒有實質性貢獻， 因此使用瞭Lagrange三點插值和五點插值．噹 項為0時，線性插值、三點插值和 五點插值給齣瞭完全相同的指嚮矢分佈麯線．噹 項不為0時三點插值與五點插值 給齣瞭定域在各箇單元內的振盪麯線
위료해결액정련속체이론중출현적Oldano-Barbero모순，용유한원방법계 산평행배렬합중적지향시분포．대우선성삽치，표면탄성능항몰유실질성공헌， 인차사용료Lagrange삼점삽치화오점삽치．당 항위0시，선성삽치、삼점삽치화 오점삽치급출료완전상동적지향시분포곡선．당 항불위0시삼점삽치여오점삽치 급출료정역재각개단원내적진탕곡선
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.
