On phase equilibrium of an elastic liquid shell with wedge disclination

Based on the six-parameter shell theory we consider the phase equilibrium of a two-phase liquid membrane containing a wedge disclination. The considered problems are related to modelling of phase transitions in biological or lipid membranes. In order to capture the membrane behavior we consider a special case of elastic shells which energy is invariant under major transformations of a reference configuration and can be treated as an two-dimensional elastic micropolar fluid which can resist bending deformations. Based on variational approach we formulate the equilibrium conditions at a phase interface. As an example, a two-phase state is analysed in the vicinity of a wedge disclination.