Homogenization of a Nonstationary Model of Linear Theory ofElasticity with Account for Temporal Correlation of Phases in a HeterogeneousStructure

The paper presents the homogenization of the nonstationary model of the linear theory of elasticity by the method of conditional moments, as a result of which the effective coefficients of the linear theory of elasticity and the effective density are obtained. As a result of performing operations, the obtained effective coefficients depend on the scales of phase correlation in time and space and are interdependent. The occurrence of correlation scales is a consequence of calculating the integrals containing the Green’s function (the solution for the operator of the nonstationary model of the linear theory of elasticity) and the correlation function of the structure in time and space. The effective density is investigated.