#### Abstract  
This paper presents the main methods for analyzing the creep of fiber-reinforced composite materials used by researchers. Creep is a characteristic property of composites made of a fiber-reinforced matrix and determines the acceptability of some materials in various engineering applications. The paper attempts to update the works in the field with recent research and analyzes the main methods for modeling these types of materials, the calculation methods, and the results obtained by researchers. It thus provides a framework for researchers to choose the most appropriate calculation method for the specific application studied. The results that have already become classics, along with the results that have appeared recently and special cases, are critically presented in the paper. Future research directions are highlighted for the various methods described and for the field as a whole. elastic moduli; fiber; matrix; analytical models; two-phase composites; FEM; testing design 202515726572  
behavior of fiber composite materials is a field in continuous development, determined by the existing evolution in the field of fiber composite materials. The current moment is characterized by an explosive dynamic of practical applications that also involves the strong advance of technologies used in manufacturing, modeling techniques, and the need to improve the properties of the materials used. The development of the field is in several directions that can be easily identified. First of all, the manufacture of nanofibers and nanomaterials has obviously led to their use (carbon nanotubes and grapheme) as fillers and offers materials with improved mechanical properties, including creep behavior [1; 2; 3]. Numerous aspects of the use of nanofibers have been studied by researchers, and theoretical creep models have been developed, taking into account the nanofiber or grapheme weight ratio [4; 5; 6; 7]. The emergence of hybrid composites represents another relatively recent trend. So, combining different fibers with different properties (glass, carbon, aramide, and so on) within the same composite, it is possible to obtain a composite with improved creep properties by leveraging the particular properties offered by each type of fiber. It is possible to improve the load transfer and the stability at different temperatures and, as a consequence, achieve a better creep behavior [8; 9; 10; 11; 12; 13]. Multiscale modeling that bridges the gap between macroscale (entire composite structure) and microscale (fiber and matrix) behaviors is probably going to be the main focus of future research. These models might more precisely forecast the material's long-term creep performance by capturing the behavior at the microscopic level [14; 15; 16; 17; 18; 19]. A paper that presents many aspects of the study of creep behavior for fiber-reinforced composites is [20]. In this paper, useful and frequently used models are described: the micromechanical model, homogenization techniques, the Mori-Tanaka method, and the finite element method (FEM). The advantages and disadvantages of each method are analyzed. The theoretical results obtained in the paper and applied to several real cases are then verified with experimental measurements. The research results (models, calculation methods, and conclusions) can be easily extended to other types of composite materials with similar structures. Applications in the field of artificial intelligence involve in-depth knowledge of the mechanical properties of composite materials, including creep behavior [21; 22]. By identifying intricate patterns and nonlinear correlations in data that conventional models would overlook, machine learning (ML) algorithms can greatly improve the accuracy of creep behavior predictions in composite materials. Numerous parameters, including matrix and fiber characteristics, temperature, stress levels, fiber orientation, duration, and environmental factors, affect creep in composites in real-world applications.