Development of the Shear Flow Induced Deformation in Nematic Layers

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Abstract
The results of numerical solution of the Euler-Lagrange equation for deformations of director field in sheared nematic layer are presented. The threshold behaviour is found in the special case. The maximum deformation angle versus shear stress, the director distribution in the layer and the effective viscosity are calculated. Two types of deformation are distinguished and a possibility of transition between them is found. The results obtained on the basis of catastrophe theory are confirmed.

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