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Information × Registration Number 0212U004374, 0109U001389 , R & D reports Title Modeling of physical fields in nanostructure materials and fractal structures. popup.stage_title Head L.A. Fil'shtinskii, Registration Date 09-02-2012 Organization Sumy State University popup.description2 Mathematical modelling of the processes of heat conduction in fractal media actual for polymeric structures, percolation clusters, porous materials, and composite structures has been done. The processes of heat-and-mass transfer in these structures are reduced to the integration of differential equations with time and space variables derivatives of fractional order. In this work the anomalous subdiffusion and superdiffusion type heat transfer in one-, two-and three-dimensional solids has been researched for the cases of acting of impulse heat flux on body surface. The quasi-static thermoelasticity problem with derivatives of the Riesz and Caputo type and the generalization of the problem of Danilovskaya for the nonlocal heat conduction equation has been considered. The problems associated with an averaging of the mechanical properties of nanocomposites have been discussed. Based on the theory of regular structures the mathematical model of a composite material with a simple nanosized cell has been constructed. Product Description popup.authors Кірічок Т.А. Мізіна Т.Л. Мукомел Т.В. Фильштинська Л.Л. popup.nrat_date 2020-04-02 Close