Elastic properties of interfaces. Elasticity moduli and spontaneous geometric characteristics

Abstract

An arbitrarily organized interface with non-uniform curvature is considered. The force factors (surface tension and bending moments) depend on interface geometry. The general definitions of spontaneous geometrical characteristics and elastic moduli of interface are presented. The spontaneous geometrical characteristics correspond to zero values of interface force factors. The elastic moduli are expressed in terms of derivatives of force factors. The expression for energy of interface deformation including the second-order terms is derived.