The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

Stretching experiments on sheets of nematic elastomers have revealed soft deformation
modes and formation of microstructure in parts of the sample. Both phenomena are …

We obtain an explicit formula for the relaxation of the free-energy density for nematic
elastomers proposed by Bladon, Terentjev & Warner (Phys. Rev. E 47 (1993), 3838–3840) …

We derive a Föppl-von Kármán-type constitutive model for solid liquid crystalline plates
where the nematic director may or may not rotate freely relative to the elastic network. To …

We discuss several elastic energies for nematic elastomers and their small strain
expansions both in the regime of large director rotations, and in the case that director …

Continuum models describing ideal nematic solids are widely used in theoretical studies of
liquid crystal elastomers. However, experiments on nematic elastomers show a type of …

We derive a general constitutive model for nematic liquid crystalline rods. Our approach
consists in reducing the three-dimensional strain-energy density of a nematic cylindrical …

Liquid crystal elastomers are rubber-like solids with liquid crystalline mesogens (stiff, rod-
like molecules) incorporated either into the main chain or as a side chain of the polymer …

We prove that the quasiconvex envelope of a differentiable function which satisfies natural
growth conditions at infinity is a C^1 function. Without the growth conditions the result fails in …

Inflation of an elastomer balloon is one of the most classical and important problems in the
field of nonlinear elasticity. Many intriguing phenomena associated with the inflation of …