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Analysis of the Behavior of Heterogeneous Media with Significantly Differing Physical Properties with Allowance for the Effective Dimension of the Space and Generalized Derivative Formalism. / Mishin, A. V.; Fomin, V. M.
в: Mechanics of Solids, Том 57, № 8, 2022, стр. 2005-2019.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Analysis of the Behavior of Heterogeneous Media with Significantly Differing Physical Properties with Allowance for the Effective Dimension of the Space and Generalized Derivative Formalism
AU - Mishin, A. V.
AU - Fomin, V. M.
N1 - Публикация для корректировки.
PY - 2022
Y1 - 2022
N2 - The effective coefficients of linear elasticity theory are obtained and analyzed with the aim to analytically describe heterogeneous media. This is done for an arbitrary dimension of the space under consideration and taking into account the generalized derivative formalism. The effective coefficients and their derivatives are explored for the presence of a carrier phase and a structural phase transition (percolation properties) over the entire range of volumetric concentration. Based on the analysis carried out, a comparison is made with the results of existing approaches and with the available data on colloids, suspensions, and granular media.
AB - The effective coefficients of linear elasticity theory are obtained and analyzed with the aim to analytically describe heterogeneous media. This is done for an arbitrary dimension of the space under consideration and taking into account the generalized derivative formalism. The effective coefficients and their derivatives are explored for the presence of a carrier phase and a structural phase transition (percolation properties) over the entire range of volumetric concentration. Based on the analysis carried out, a comparison is made with the results of existing approaches and with the available data on colloids, suspensions, and granular media.
KW - heterogeneous medium
KW - microstructure
KW - space dimension
KW - stochastic model
KW - structural phase transition
UR - https://www.mendeley.com/catalogue/c9907f2b-9cfc-3c7e-b695-8a3a7a214b3c/
U2 - 10.3103/S0025654422080210
DO - 10.3103/S0025654422080210
M3 - Article
VL - 57
SP - 2005
EP - 2019
JO - Mechanics of Solids
JF - Mechanics of Solids
SN - 1934-7936
IS - 8
ER -
ID: 55694403