Soft elasticity in smectic elastomers
James Michael Adams
We investigate the soft elastic modes of smectic elastomers, that is
shape change without energy cost. We use a microscopic model for
their non-linear elasticity, similar those used for nematic
elastomers. We consider two different phases of smectic elastomer;
the biaxial smectic A for a simple illustration, and smectic C
phases which are of great practical significance. We show that only
one non-trivial trajectory of the director gives soft deformations.
We give a geometrical interpretation of this soft elastic mode and
give an explicit example.