Abstract：Carbon fiber reinforced composites have attracted much attention in materials science due to their superior mechanical properties. It is difficult for conventional multiscale methods to provide substantial assistance to the research of such materials due to their huge computational costs. Nonuniform transformation field analysis is a very effective reduced-order homogenization method for elastoplastic multiscale analysis. However, the reduced-order model derived from this method has the shortcoming of low universality and high application threshold. Therefore, an improved reduced-order model is proposed by combining the nonuniform transformation field analysis with the k-means clustering algorithm. One can embed the required microscopic constitutive model into the reduced-order homogenization framework, without the need to derive a new reduced-order model. Based on the cluster-based nonuniform transformation field analysis, the influence of the microscopic plastic strain field evolution on the macroscopic response of the material is revealed, while the mechanical properties of carbon fiber reinforced composites are predicted. The numerical results show that the new reduced-order model can accurately predict the macroscopic mechanical properties of composite materials, and its acceleration rate reaches 103-104 compared to the traditional finite element computations.
2023, Vol. 44 
