The long-term failure of a layered composite with a coin-shaped crack is investigated. The composite consists of two isotropic components with viscoelastic properties. The crack is located in one of the materials; it is parallel to the orientation of layers. A slowly varied cyclic load is applied to the composite. To find out a viscoelastic crack opening displacement, the method of operator multidimensional continued fractions is used. This method is based on the approximation of a complicated multivariable function by a multidimensional continued fraction. The approach allows us to obtain a linear operator as the approximation of an operator multivariable function.

• Селіванов Михайло Федорович (фізико-математичні науки)

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