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Fluid films with curvature elasticity. (English) Zbl 0982.76012

From the introduction: We discuss a purely mechanical Cosserat theory incorporating local constraints imposed on the director field. The film is assumed to be a material surface consisting of a fixed set of mass particles. Two essentially equivalent models are envisaged according to whether or not films are presumed to possess material symmetry. In the affirmative case an appropriate concept of fluidity is introduced together with its adaptation to material surfaces. The relevant Legendre-Hadamard inequality for energy-minimizing equilibria is obtained and used to motivate a simple proposal for the description of bilayer response.

MSC:

76A20 Thin fluid films
74K35 Thin films
74A35 Polar materials
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