Abstract
An efficient method for determining the deformation function of a composite is discussed. The method is based on a fractional exponential representation of the deformation functions of the composite components. The viscoelastic solution is obtained using the Volterra principle. The deformation function is represented as a function of a base operator. Thus, the problem is solved by approximating the deformation function by a continued fraction and applying the method of operator continued fractions. A computational procedure is detailed and illustrated using data on longitudinal relaxation of polymethylmethacrylate. As an example, the deformation of a polymethylmethacrylate-based fibrous composite with viscoelastic properties is analyzed
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Translated from Prikladnaya Mekhanika,Vol. 41, No. 5, pp. 9–21, May 2005.
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Kaminskii, A.A., Selivanov, M.F. A Method for Determining the Viscoelastic Characteristics of Composites. Int Appl Mech 41, 469–480 (2005). https://doi.org/10.1007/s10778-005-0112-6
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DOI: https://doi.org/10.1007/s10778-005-0112-6