Exact(5)
Director vector.
The shell formulation presented in this contribution uses a continuous orthogonal rotation described by Rodrigues' tensor in every integration point to compute the current director vector.
Using Mindlin-Reissner theory a convenient displacement field is derived for each layer and an ordered algorithm is adapted to calculate increments in the director vector of each layer due to relative finite rotations of its adjacent layers.
The linearization of the problem at every time step value can be performed using a quasi-Newton method that allows to decouple fluid velocity and director vector computations for every tangent problem.
In this work, we propose finite element schemes for the numerical approximation of nematic liquid crystal flows, based on a saddle-point formulation of the director vector sub-problem.
Similar(55)
The in-plane director vectors deform as line segments and the out-of-plane direction deforms as a normal vector.
Specifically, the Cosserat point is characterized by eight director vectors which are determined by balance laws and constitutive equations.
In addition, in this figure, 0d and t d are the director vectors.
This rotation vector specifies the orientation of a triad of director vectors attached to each material particle.
The chiral nematic self-assembly consists of pseudolayers in which the CNCs align along a vector (director), with the orientation of each director rotated slightly about the helicoidal axis from one layer to the next.
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