An efficient algorithm for spatially-correlated random fields generation and its applications on the two-phase material

• We propose a simple and practical algorithm to generate the spatially correlated random field.
• It is obtained by the weighted average of random fields without spatial correlation.
• A required microstructure can be obtained in a much faster way.
• An application study on the effective elastic behavior materials is given.

The properties of material strongly depend on the microstructure, and the development of microstructure is closely related to the phase transition with the temperature-dependent spatial correlation. To consider more realistic microstructures, we have proposed an efficient and simple algorithm for generating the spatially-correlated random field, which is obtained by the weighted average of random fields without spatial correlation according to the spatially-correlated length and anisotropy parameter. By using a mesoscale finite element model with the microstructures generated by our algorithm, an application study on the effective elastic behavior of Al2O3–NiAl composite materials is given. Our numerical results are in agreement with the experimental measurements. The proposed method is general and robust, which can be extended to the multi-phase materials.