Sentence examples for director fields from inspiring English sources

The Landau de Gennes model of liquid crystals is a functional acting on wave functions (order parameters) and vector fields (director fields).

Programmed deformation of glassy nematic sheets with continuously varying in-plane director fields is studied using Föppl-von Kármán platheoryory.

We reformulate the original model in the weak form which is consistent with the continuous dissipative energy law for the flow and director fields in W1,2+σ (σ > 0 is an arbitrarily small number).

A detailed description of the process and examples of the 3D director fields along with the twist and tilt of the LC as a function of cell location and voltage are shown in Supplementary Fig. 3.

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After a screening, a visiting Dutch director fielded questions from the crowd.

We derive a relationship between the gradient of the nematic director field, related to the orientation of the polymer segments, and the curvature tensor associated with rotational gradients.

Furthermore, we compute the asymptotics of the energy of such critical points along with a boundary energy that may serve in localizing the director field.

The proposed formulation is based on an Updated Lagrangian approach, in which the virtual work equations are written as a function the director field and its derivatives.

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A splitting method combined with only a few fixed point iteration for the penalty term of the director field is applied to reduce the size of the stiffness matrix and to keep the stiffness matrix time-independent.