## 1 Introduction  
In recent years, the utilization of composite materials in the design of structures has seen a significant rise, with applications ranging from quasi-static to dynamic load conditions. This trend has presented new challenges for designers, as composite materials exhibit non-linear behavior and are dependent on strain rates. Consequently, the testing and design process for new composite constructions becomes time-consuming and requires substantial material resources, particularly for large-scale structures. To expedite and streamline the design process of composite structures, it becomes crucial to establish efficient and comprehensive methods and procedures for determining the mechanical properties and predicting the failure envelopes of these materials. This would enable designers to make informed decisions and optimize the design, ultimately reducing both time and material costs. Extensive research has been conducted on the strength characteristics of composite materials, primarily from a phenomenological perspective. Over the past few decades, the \"World-Wide Failure Exercise\" [1; 2; 3; 4] has played a significant role in advancing the development of failure criteria for polymer composites, particularly under quasi-staticloading conditions, which can be considered a special case of high-speed loading. It was concluded from this exercise that few of the current predictive failure theories were robust enough for industrial applications. It could be relatively easy to match some specific experiments with numerical modelling, for example by tuning some damage parameters. However, it is not conclusive to justify the validity of a modelling method if the input parameters were calibrated against the same set of experiments, which the model is then used to reproduce. Classical limit state failure criteria such as the Sun, Puck, Tsai-Wu, and Hashin failure criteria have been used to describe experimental data obtained from quasi-static tests, yielding varying degrees of consistency. However, the operational conditions experienced by composite materials necessitate an exploration of their behaviors under time-dependent loading and dynamic influence. In recent years, there has been a notable increase in publications [5; 6; 7; 8; 9; 10] focusing on the sensitivity of composite materials to strain rate, with numerous experiments conducted to investigate their rheological properties. It is important to acknowledge that, in addition to physically non-linear deformation, composite materials exhibit rheological effects such as creep, relaxation, and loading rate sensitivity [11]. Given the significant influence of the polymer matrix-to-fiber properties on the deformation resistance under loading at different angles to the reinforcement direction, the rheological properties of the composite layer become crucial. This highlights the necessity of incorporating elements of polymer mechanics, such as viscoelasticity theory and the mechanics of hereditary media [12]. When developing approaches based on viscoelasticity theory or hereditary mechanics, the research problem can be conceptualized as a series of interrelated functions, enabling a comprehensive understanding of mechanical regularities of polymer composite materials. In previous studies [13; 14; 15; 16; 17], a method was proposed to establish a defining relation that captures the nonlinear deformation of UD CFRP at different strain rates. The majority of these works observe an increase in both the elasticity and strength moduli as the strain rate rises. Furthermore, ref. [5] investigates the tensile behavior of obliquely CFRP with a wide range of deformation rates, presenting a model based on the orthotropic plastic potential. Another study [6] focuses on examining the impact of strain rates on the properties of UD CFRP under compression at various angles relative to the reinforcement direction.