Simulation of a two-phase composite material with a system of fibers disoriented in space

The proposed method is based on the generally accepted operation of averaging properties at different orientations of the axes of elastic symmetry of the material in the areas, each of which is a unidirectional monotropic material. At the same time, statistical characteristics of fiber distribution in the composite material are introduced - texture parameters that uniquely determine the elastic properties of the material. As a result, it is possible to obtain the average values of the elastic characteristics of the spatially reinforced composite material, linearly dependent on the elastic characteristics of the unidirectionally directed composite material and texture parameters for any fiber distribution in the material under the restriction that the material is orthotropic. Similar expressions are obtained for the mean compliance coefficients.