Abstract
Abstract Instabilities of surface fluctuation waves can lead to rupture of liquid crystaline bilayer membranes. On the basis of the assumptions used in our previous works we derived the equations describing the instability of rupture of anisotropic, viscoelastic membranes under tension, in electric fields, and for arbitrary surface elasticities and viscosities. The surface elasticities increase the stability of the membrane, while the membrane tension destabilize it. External electric and mechanical constraints increase the rate of growth of the fluctuation waves. The fluctuation wave mechanism can describe at least qualitatively the experimental data for the time and tension dependence of the critical potential of rupture.
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