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Biaxially stretched nematic liquid crystalline elastomers

AuthorsDiaz-Calleja, Ricardo; Riande, Evaristo
Issue Date2012
CitationEuropean Physical Journal E 35 : 2  (2012)
AbstractThe biaxial stretching of sheets of liquid crystalline neo-Hookean elastomer has been studied in the isotropic case. The results suggest two types of laminate structures in the process of quasiconvexification of the free energy, a fact that implies the appearance of several shear terms in the deformation gradient matrix. More that one decomposition of the deformation gradient is possible, which is consistent with a bifurcation in the undeformed configuration (λ = 1). This situation is similar to the well-known Rivlin’s problem of the triaxial symmetric traction of a neo-Hookean cube. The problem can easily be generalized for an anisotropic material by introducing a semisoft term in the free-energy expression. In this case, the horizontal plateau corresponding to the minimal energy, characteristic of the soft elasticity, disappears, and only an equilibrium condition is obtained
Publisher version (URL)http://dx.doi.org/10.1140/epje/i2012-12002-5
Appears in Collections:(ICTP) Artículos
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