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University proceedings. Volga region. Physical and mathematical sciences, 2011, Issue 3, Pages 61–68
(Mi ivpnz583)
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Mathematics
Construction of mathematical models of heterogeneous structures using the decomposition approach
V. I. Volchikhin, D. V. Artamonov Penza State University, Penza
Abstract:
The article introduces a decompositional approach to mathematical modeling of heterogeneous strucutures, based on solving the equations of deformed body dynamics in linear approximation. Dynamics differential equations are reduced by means of partial integration into integral projection form which would enable to obtain a rectangular-parallelepiped-shaped matrix of self-contained unit conductivity with elastic filling and Floke channels on the facets. The authors have developed a method of self-contained unit decomposition.
Keywords:
mathematical model, heterogeneous structures, Floke channels, recomposition.
Citation:
V. I. Volchikhin, D. V. Artamonov, “Construction of mathematical models of heterogeneous structures using the decomposition approach”, University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 3, 61–68
Linking options:
https://www.mathnet.ru/eng/ivpnz583 https://www.mathnet.ru/eng/ivpnz/y2011/i3/p61
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