ИСТИНА

Composite materials consisting of several phases are widely used in modern construction. The mechanical characteristics of elastic-creeping layered composite materials are considered in the article. Each of the constituent phases has the properties of elasticity, viscosity or creep. Numerous experiments have shown that the properties of structurally heterogeneous materials can differ significantly from those of the individual components making up the composition. Besides, rapidly changing coefficients of differential equations describing such composite materials greatly complicate the solution of boundary value problems even with the help of computer calculation methods. Therefore, the homogenization method is used to solve such problems. Creep kernels are given by the sum of a finite number of decreasing exponential functions. The use of creep kernels of this type is experimentally justified. In this paper, it is shown that an effective (averaged) model for a composite material with the indicated properties is a homogenized medium that is described by a creep kernel, also represented by a sum of exponential functions. An algorithm for the rapid and accurate calculation of averaged creep kernels of a homogenized material is proposed.