Hybrid model of nonlinear homogenisation of anisotropic composites with ellipsoidal inclusions

A hybrid model of nonlinear homogenisation of anisotropic composites was developed, based on the secant Eshelby's model of the second order. At first a scaling factor was determined between constrained strains of matrices of finite and infinite dimensions for an isotropic composite. The scaling factor was then used to calculate the constrained strain of the matrix and the macrostress of the anisotropic composite. If the calculation results and reference values differ greatly, the scaling factor serves as a fitting parameter. A parametric hybrid model has been developed to predict the properties of composites with different content of inclusions. Good agreement of the calculation results with the numerical solutions of the FEM and experimental data was obtained.