title: ÐÐµÑÐµÐºÑÐµÑÑÐ½ÑÐµ ÑÐ¾Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ Ð´Ð»Ñ ÑÐ¿ÑÑÐ³Ð¸Ñ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¿ÑÐ¾Ð²Ð¾Ð´Ð½ÑÑ ÑÐ²Ð¾Ð¹ÑÑÐ² Ð´Ð²ÑÑ ÑÐ°Ð·Ð½Ð¾Ð³Ð¾ Ð¼Ð°ÐºÑÐ¾Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½Ð¾Ð³Ð¾ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Cross-property connections for elastic and heat-conducting properties of a two-phase material
Creators: name: Ð¡ÐºÐ°Ð±Ð¸Ð½, ÐÐ¼Ð¸ÑÑÐ¸Ð¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: ÐÐ¾Ð½ÐµÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð¼ÐµÑÐ¾Ð´
ÐÐ°ÑÐµÑÐ¸Ð°Ð»Ñ
Ð¿ÐµÑÐµÐºÑÐµÑÑÐ½ÑÐµ ÑÐ¾Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ
Ð³ÐµÑÐµÑÐ¾Ð³ÐµÐ½Ð½ÑÐµ ÑÑÐµÐ´Ñ
ÑÐ°ÑÐ¾Ð²ÑÐµ Ð²ÐºÐ»ÑÑÐµÐ½Ð¸Ñ
ÑÑÑÐµÐºÑÐ¸Ð²Ð½ÑÐµ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð°
cross-property connections
heterogeneous media
spherical inclusions
effective properties

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description: The subject of the graduate qualification work is: Â«Cross-property connections for elastic and heat-conducting properties of a two-phase materialÂ». The given work is devoted to the study of various ways of establishing crossproperty connections and their validation based on a numerical experiment. Tasks that were solved during the work: 1. Conducting a numerical experiment using the finite-element method to determine the effective properties of the material. 2. The use of various methods to obtain effective properties by analytical methods. 3. Establishing cross-property connections. 4. Analysis of the obtained results. In this paper, analytical expressions were obtained for the effective properties of a heterogeneous material with spherical inclusions. A numerical experiment was carried out using the finite element method to establish cross-property connections. Crossproperty connections were considered on the basis of effective properties obtained by different methods. Comparison curves of cross-property connections obtained analytically and numerically for different ratios of inclusions and matrix stiffness were obtained. The analysis of the received results is carried out.