A Rod Theory for Liquid Crystalline Elastomers
A Rod Theory for Liquid Crystalline Elastomers
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DOI：
10.1007/s10659-021-09875-z
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发表时间：
2022-01-27
影响因子：
2
通讯作者：
Mihai, L. Angela
中科院分区：
文献类型：
--
作者：
Goriely, Alain;Moulton, Derek E.;Mihai, L. Angela
导出了向列液晶棒的一般本构模型。我们的方法是将向列圆柱结构的三维应变能密度简化为向列杆的一维能量。简化的一维模型将光热刺激与本征曲率、延伸、扭转和扭转的产生直接联系起来，适用于受外界刺激和机械载荷作用的大范围液晶棒。为了说明这一点，我们得到了均匀光照下夹紧杆的形状，并计算了受光照杆在拉伸载荷下的不稳定性。这个一般框架可用于确定具有不同横截面或不同向列场排列的向列杆的形状和不稳定性。
We derive a general constitutive model for nematic liquid crystalline rods. Our approach consists in reducing the three-dimensional strain-energy density of a nematic cylindrical structure to a one-dimensional energy of a nematic rod. The reduced one-dimensional model connects directly the optothermal stimulation to the generation of intrinsic curvature, extension, torsion, and twist, and is applicable to a wide range of liquid crystalline rods subject to external stimuli and mechanical loads. For illustration, we obtain the shape of a clamped rod under uniform illumination, and compute the instability of an illuminated rod under tensile load. This general framework can be used to determine the shape and instabilities of nematic rods with different cross-sections or different alignment of the nematic field.