The paper presents a numerical technique for an evaluation of effective viscoelastic properties of fiber reinforced composite materials based on known mechanical properties of fibers and matrix. The set of numerical relaxation tests allowed calculating the tabular dependencies of components of a relaxation tensor for composite orthogonal weaving scheme, as well as technical parameters of viscoelastic material on time and temperature. These dependencies were approximated by exponential Prony series for the time variable and Williams-Landel-Ferry shift function for the temperature variable. The analysis of the obtained mechanical properties shows that despite the orthotropic nature of viscoelasticity of the considered composite material, the temperature dependencies of Young and shear moduli as well as Poisson's ratios reflected by the shift function has the same character as the ones of the composite matrix.
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