# Determination of the Filler Concentration of the Composite Tape
## 1 Introduction
However, the optimal quantitative ratio of the filler and matrix is not presented. The transverse strength of the composite material is investigated and it is concluded that the maximum strength of the composite material can be reasonably well estimated without using any experimental data [25]. However, the concentration ratios are not presented in the work. [PERSON] et al. [26] proposed a new multiscale synergistic modeling structure combining the microscale and mesoscale to predict the damage behavior of a two-dimensional triaxial woven composite. The proposed multiscale structure provides a reliable tool only for future systematic studies of the level of composite materials that comprise aircraft structures. The prediction of failure of the composite material, mainly based on the properties of the filler and matrix, is given in article [27]. The prediction is made using the bridging model and only contains composite fracture analysis. [PERSON] [28] applied the effective field method to calculate the general physical and mechanical properties of composite materials consisting of a homogeneous matrix and a set of isolated inclusions (two-phase media). In this work, the effective field method was applied to improve the predictions of the effective properties of matrix composites in the region of high-volume concentrations of inclusions. The strength of the composite material was predicted taking into account the stress concentration factor in the matrix, the plasticity of the matrix, and the residual thermal stresses in the components [29]. This article only presents the design methodology. To predict the strength of a composite material using information about its components, in article [30], experiments are presented to study the strength of a composite material, which, together with other initial properties, is used as input data to predict the strength of various composites. However, the relationship between the matrix and the filler is not presented in this work. [PERSON] et al. [31] showed that both fillers (mica and wollastonite) trigger an increase in the Young's modulus of elasticity with an increasing filler concentration in the matrix of HDPE composites. However, the theoretical relationship is not shown. Composites integrating metallic particles are considered [32]. The paper analyzes the effect of the concentration and orientation of composite particles on the process and manufacturability. In this work, there are no theoretical dependences for determining the concentrations of the matrix and filler. [PERSON] [33] studied the effect of various sizes and shapes of fillers on the surface roughness of experimental series of resin-composite materials. In this case, only the results of experimental studies are presented. Practically, in all studies, a certain range of filler concentration was taken, and the mechanical properties of the composite were studied [34; 35; 36; 37]. To assess the mechanical properties of the composite systems, many different micromechanical models have been proposed [38; 39; 40; 41]. According to such models, the physical and mechanical properties are determined. The preparation and properties of the Fe-Cr-Ni group of metals were studied in [42; 43; 44; 45; 46]. However, these studies and others lack data on the properties of composite tapes. In this regard, it should be noted that there is no theoretical model in the literature for determining the filler concentration in the composite material (tape). Therefore, a theoretical study is necessary to obtain the dependence of the filler concentration on the composite tape and to perform experimental studies to verify the adequacy of the theoretical model obtained. The aim of this article was to determine the filler concentration of the composite tape. The research methodology was based on the theory of logic, the theory of dimension, and the theory of wear. The scientific novelty lies in the fact that, for the first time, a theoretical model was obtained to determine the filler concentration in a composite tape.