Calculation of stress-strain state of binding fiber composites

Based on the solution of the cellular problem of the theory of elasticity, an analysis of the main types of deformation of the binder cross-reinforced with fibers of the composite was carried out. It is shown that all previously predicted possible types of local deformation of the binder fiber composite are revealed in numerical solutions of the cell problem of the averaging theory. The local stress-strain state of the binder significantly depends on the cross-sectional shape of the fibers. In the case of fibers with a square cross-section, it is possible to estimate the stress-strain state using explicit formulas, while for fibers with sections of other shapes, a computer must be used to calculate the stress-strain state.