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On phase equilibrium of an elastic liquid shell with wedge disclination

Abstract

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 behaviour 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.

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Details

Category:
Monographic publication
Type:
rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Title of issue:
Shell Structures: Theory and Applications, Volume 4 strony 89 - 92
Language:
English
Publication year:
2018
Bibliographic description:
Eremeev V., Konopińska-Zmysłowska V.: On phase equilibrium of an elastic liquid shell with wedge disclination// Shell Structures: Theory and Applications, vol.4/ ed. W. Pietraszkiewicz, W. Witkowski Londyn: CRC Press / Balkema, 2018, s.89-92
DOI:
Digital Object Identifier (open in new tab) 10.1201/9781315166605-15
Verified by:
Gdańsk University of Technology

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