Stress fields in a composite material by means of a non-classical approach

For a two dimensional, bimaterial composite body under elastic deformation, a method is developed to determine separate stress field expressions for each material in the body. Far-field strain components, measured or calculated by classical methods, are considered as known inputs. By considering the long-range effects, caused by the inhomogeneity on a micro-structural scale, the interactions between the point of consideration and the other material regions are expressed. Combining the local stresses and the stresses caused by the long-range interactions, separate expressions for the stresses in the different materials of the body are obtained. Two solutions for a plane strain, bimaterial, laminated composite are obtained through the methods of classical elasticity for the purposes of comparison with the present method.