Abstract
AbstractOn the basis of numerical solutions of the cellular problem of the theory of elasticity, an analysis was made of the deformation modes of the binder cross-reinforced with fibers of the composite at the microlevel. All possible types of local deformation of the binder of the fiber-reinforced composite, predicted in the simplified model in (Kalamkarov A L, Kolpakov A G: Analysis, Design and Optimization of Composite Structures. Wiley, Chichester (1997)), are found in numerical calculations. It is found that the local stress–strain state of the binder depends on the cross-sectional shape of the fibers. In particular, for fibers with a circular cross-section, one of the modes is strongly weakened. Numerical calculations do not show the presence of modes other than those described in (Kalamkarov A L, Kolpakov A G: Analysis, Design and Optimization of Composite Structures. Wiley, Chichester (1997)). If, in the case of square fibers, the assessment of the stress–strain state value is possible using simplified formulas from (Kalamkarov A L, Kolpakov A G: Analysis, Design and Optimization of Composite Structures. Wiley, Chichester (1997)), then for fibers of other sections, it is necessary to use a computer to calculate the stress–strain state.
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