Abstract
The paper presents a method for determining the complex compliances of a composite consisting of a viscoelastic isotropic matrix and unidirectional elastic monotropic fibres. These compliances represent the viscoelastic nature of a given composite material system. Elastic compliances of the composite have been derived fully analytically. Generating functions of shear/bulk viscoelasticity of the matrix have been defined by the Mittag-Leffler fractional exponential functions. This approach presents possibilities for modelling realistic shear/bulk creep of a polymer matrix. Complex compliances of the composite have been determined using the principle of elastic-viscoelastic analogy. A computer algorithm for calculating elastic and viscoelastic compliances of the composite has been formulated, programmed and tested on the selected composite material.
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