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Abstract <p> The paper presents the homogenization of the nonstationary model of the linear theory ofelasticity by the method of conditional moments, as a result of which the effective coefficients ofthe linear theory of elasticity and the effective density are obtained. As a result of performingoperations, the obtained effective coefficients depend on the scales of phase correlation in time andspace and are interdependent. The occurrence of correlation scales is a consequence of calculatingthe integrals containing the Green’s function (the solution for the operator of the nonstationarymodel of the linear theory of elasticity) and the correlation function of the structure in time andspace. The effective density is investigated.</p>

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Homogenization of a Nonstationary Model of Linear Theory of Elasticity with Account for Temporal Correlation of Phases in a Heterogeneous Structure

  • 期刊论文

  • 发表日期：

    2025年11月2日

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  • A. V. Mishin

摘要

Abstract

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