论文标题
列液晶固体的板理论
A plate theory for nematic liquid crystalline solids
论文作者
论文摘要
我们为固体液晶板的föppl-vonKármán型组成模型提供了一个föppl-vonKármán型模型，在该模型中，列明主管可能相对于弹性网络可以自由旋转，也可能不会自由旋转。为了获得降低的二维模型，我们依靠列固体的变形分解为弹性变形和自然形状变化。所得平衡方程的完整解由变形位移和应力场组成。该模型方程适用于受到选择热刺激和机械载荷的各种薄列型物体。为了说明，我们考虑了无压力的简单系统中的某些可逆自然形状变化，并且它们的对应物将自然变形被阻塞并出现内部应力。可以在同一框架内解决更多一般问题。
We derive a Föppl-von Kármán-type constitutive model for solid liquid crystalline plates where the nematic director may or may not rotate freely relative to the elastic network. To obtain the reduced two-dimensional model, we rely on the deformation decomposition of a nematic solid into an elastic deformation and a natural shape change. The full solution to the resulting equilibrium equations consists of both the deformation displacement and stress fields. The model equations are applicable to a wide range of thin nematic bodies subject to optothermal stimuli and mechanical loads. For illustration, we consider certain reversible natural shape changes in simple systems which are stress free, and their counterparts, where the natural deformations are blocked and internal stresses appear. More general problems can be addressed within the same framework.
