18 citations · 29 across the 10 of their papers we have counts for
13 papers
Surface Nematic Quasi-Uniformity
Andrea Pedrini, Epifanio G. Virga
Line fields on surfaces are a means to describe the nematic order that may pattern them. The least distorted nematic fields are called uniform, but they can only exist on surfaces…
Surface Nematic Uniformity
Andrea Pedrini, Epifanio G. Virga
An ant-like observer confined to a two-dimensional surface traversed by stripes would wonder whether this striped landscape could be devised in such a way as to appear to be the sa…
Relieving nematic geometric frustration in the plane
Andrea Pedrini, Epifanio G. Virga
Frustration in nematic-ordered media (endowed with a director field) is treated in a purely geometric fashion in a flat, two-dimensional space. We recall the definition of quasi-un…
Ridge approximation for thin nematic polymer networks
Andrea Pedrini, Epifanio G. Virga
Nematic polymer networks (NPNs) are nematic elastomers within which the nematic director is enslaved to the elastic deformation. The elastic free energy of a NPN sheet of thickness…
Ridge energy for thin nematic polymer networks
Andrea Pedrini, Epifanio G. Virga
Minimizing the elastic free energy of a thin sheet of nematic polymer network among smooth isometric immersions is the strategy purported by the mainstream theory. In this paper, w…
Liquid Crystal Distortions Revealed by an Octupolar Tensor
Andrea Pedrini, Epifanio G. Virga
The classical theory of liquid crystal elasticity as formulated by Oseen and Frank describes the (orientable) optic axis of these soft materials by a director . The gro…