# Numerical Modeling of Plasticity in Metal Matrix Fiber Composites
## 1 Introduction
Therefore, these results elucidate the role of matrix plasticity in altering stress transfer efficiency and its implications for the overall mechanical response of the composite material. In terms of creep behavior, the authors of [21] introduced an analytical model using circular functions to predict the creep behavior of fibrous composites under axial stress. This model provided simpler predictions of creep strain rates compared to existing methods and was validated against FEM results, showing uniform behavior and potential creep rupture at fiber ends. [PERSON] et al. [22] further investigated the effect of the reinforcement fiber diameter on the elevated temperature bending creep deformation behavior of Ni nanocomposites using molecular dynamics simulations. They found that thinner fibers display superior creep properties and increased plasticity due to shear band interactions and work softening. In contrast, thicker fibers exhibit work hardening and tend to fracture through quasi-cleavage mechanisms. [PERSON] et al. [23] highlighted the significance of interface diffusion on the creep behavior of MMCs at high temperatures, proposing a micromechanics theory based on [PERSON]'s solution to understand this phenomenon. [PERSON] et al. [24] analyzed the creep-fatigue behavior of aluminum alloy-based MMCs, employing a direct simulation technique within the Linear Matching Method (LMM) framework to improve the understanding of failure mechanisms under varying loads and high temperatures. The impact of microstructural defects and damage evolution has also been a significant area of research. In [25], the elastic and plastic behaviors of the QE22 magnesium alloy reinforced with Saffil fibers and SiC particles were studied using scanning electron microscopy and the Halpin-Tsai-Kardos model. The findings reveal different fracture mechanisms between the matrix and the composite, emphasizing the role of a microstructural analysis in understanding composite behavior. The fracture of the matrix alloy primarily exhibited an intercrystalline nature, whereas the failure of the hybrid composite was transcrystalline. [PERSON] et al. [26] explored the role of the aspect ratio of SiC reinforcement in Cu composites. They found that SiC whisker-reinforced Cu exhibits significantly higher strength, plasticity, and thermal conductivity compared to SiC particle-reinforced Cu due to better load transfer and crack bridging mechanisms. The authors of [27] utilized computational homogenization to investigate the impact of pre-existing microstructural voids on the failure response of ceramic fiber-reinforced aluminum composites. Six virtual models of the composite microstructure, each with different volume fractions and spatial distributions of pre-existing voids, were analyzed to determine their failure responses under macroscopic normal and shear strains. The results indicate that for shear loading, small volume fractions of voids have a negligible impact on the failure response. However, these voids significantly reduce the composite's mechanical strength under uniaxial and equi-biaxial normal strains. Their study highlighted the significant deterioration of composite mechanical strength due to voids under normal strains, demonstrating the importance of considering microstructural defects in material design. The authors of [28] developed a theoretical model to describe the impact of interphase and load transfer on the mechanical behavior of CNT-reinforced MMCs. They found that the introduction of an interphase significantly enhances the overall strength of the composites, highlighting the roles of the matrix grain size, reinforcement content, and size in determining material properties. Additional studies have further enriched the understanding of MMCs. [PERSON] et al. [29] conducted low-velocity impact experiments on SiC-fiber/titanium matrix composites and developed finite element modeling to simulate the damage behavior of TMCs, considering plastic deformation and damages. [PERSON] et al.