Micropolar theory of an interface


J. Jarić, S. Milanović-Lazarević




It is well known that surfaces of bodies and interfaces between pairs of bodies exhibit properties quite different from those associated with their interiors. The problem of surface phenomena is based, for the most part, on molecular considerations, because it was thought that such phenomena could be explained properly only by properties of molecula. Recently this problem has been considered by Scriven, Moeckel, Gurtin and Murdoch from the point of view of mechanics of continua. Their model of interfaces is a classical model of two-dimensional continuum. In this paper we consider an interface as a two-dimensional micropolar continuum. This point of view much better corresponds to the physical problem, because the micropolar theory takes into account the structure of material. We derived all field equations for interface and bulk material and, at the end, the constitutive equations for an interface.