We present an overview of the simulation methods available to calculate the phenomenological coefficients which appear in the Frank free energy of nematic liquid crystals: the elastic constants, helicity parameter, and flexoelectric coefficients. We concentrate on approaches which are based on measuring and correlating molecular orientational stresses, as these have not received much attention ...

We show theoretically that flexoelectricity stabilizes blue phases in chiral liquid crystals. Induced internal polarization reduces the elastic energy cost of splay and bend deformations surrounding singular lines in the director field. The energy of regions of double twist is unchanged. This in turn reduces the free energy of the blue phase with respect to that of the chiral nematic phase, lea...

We present a formulation for the weak enforcement of continuity conditions at material interfaces in high-order problems by means Nitsche's method, which is particularly suited unfitted discretizations. This extended to impose generalized periodicity unit cell boundaries periodic structures. The derived flexoelectricity, electromechanical coupling between strain gradient and electric field, mat...

Young's modulus determines the mechanical loads required to elastically stretch a material, and also, bend it, given that bending stretches one surface while compressing opposite one. Flexoelectric materials have additional property of becoming electrically polarized when bent. While numerous studies characterized this flexoelectric coupling, its impact on response, due energy cost polarization...

In metal/degenerately doped silicon bilayer structure, the interfacial flexoelectric effect due to strain gradient leads charge carrier transfer from metal layer layer. This excess concentration is called flexoelectronic doping or transfer, which gives rise an electronically polarized (order of magnitude larger than ferroelectric materials) transport measurements, in found increase by two order...