Non-linear elastic deformations of multi-phase fluid systems

Abstract

Summary form only given, as follows. Cross-linked, surface-active compounds will create an interfacial, elastic zone and alter the mechanical state and deformation behaviour of any multi-phase fluid system where this occurs. The properties of the constitutive laws for both Cauchy and Green elastic materials will be examined as models for this zone. One significant consequence is that the usual Laplace and Neumann equations of capillarity, applicable as boundary conditions for immiscible fluid phases, must be altered to reflect the presence of this elastic zone. Several examples will be considered.