The asymptotic homogenization evaluation of effective mechanical property of the C/C-ZrC composite by the reconstruction technique

In this framework, we formulate a procedure to reconstruct the structure of general random 3D braid heterogeneous media based on transformation of Gaussian random fields, where the correlation of the underlying Gaussian field is determined explicitly rather than through iterative methods. The reconstructed media can meet the key microstructural information contained in the micrographs and two-point correlation function of the reference media. A robust and efficient algorithm is the operation for accurate determination the effective physical properties from a local heterogeneous material based on the methods of asymptotic homogenization and the finite element. Comparison of the present result to the experimental data from the literature shows a good agreement. The correlation length, Gaussian complexity, representative volume element size and mesh size are investigated and selected to highlight the importance of morphologically realistic microstructures. The effective properties of 3D braid composites are evaluated numerically and the respective effect of the volume fraction and relative material parameters of the reinforcement is assessed numerically. This breakthrough is the possibility to design, predict properties, and even manufacture materials not only with the help of experiments but also with computer science.

Automated summary

In this study, a method based on transformation of Gaussian random fields is proposed to reconstruct the structure of general random 3D braid heterogeneous media. The reconstructed media can satisfy the explicitly determined correlation of the underlying Gaussian field as well as the microstructural information and two-point correlation function of the reference media. A robust and efficient algorithm is developed for accurate determination of the effective physical properties from local heterogeneous material. The importance of morphologically realistic microstructures is highlighted by investigating and selecting the correlation length, Gaussian complexity, representative volume element size, and mesh size. Numerical evaluations are conducted to assess the effective properties of 3D braid composites and the respective effects of the reinforcement's volume fraction and relative material parameters.