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0217U003393,
0111U009747
,
Development and investigation of mathematical models of deformation and transport processes in inhomogeneous media taking into account a local structure and concentrated sources and sinks
Nahirnyj T.S., Pjanylo Ya.D.,
10-04-2017
Centre of Mathematical Modelling Institute of Applied Problems Mechanic and Mathematic named after Ya. S.Pidstryhach NAS Ukraine
Thermodynamic fundamentals of mathematical modeling of coupled processes in deformable solids are developed with taking into account the structural heterogeneity of material and the geometric heterogeneity of a real body surface. On the basis of the formulated equations and the developed methods for their solving at the linear and the nonlinear formulation, patterns of the surface heterogeneity are studied and related to them size effects, including an effective strength and elastic moduli, in the bodies of simple geometric configuration as well as the impact on them the parameters of the material and the body, in the presence of admixtures and electronic subsystem. The method of investigation of wave processes in structurally inhomogeneous elastic bodies with taking into account the geometric heterogeneity of a real body surface is suggested. The frequencies of natural vibrations of the layer under different conditions of fixation of its surfaces are studied. The mathematical fundamentals are developed as well as the analytical and numerical models of mass and information transfer processes in complex media are constructed and studied; the analytical and numerical methods for solving relevant problems of mathematical physics are developed.
Боженко Богдан Любомирович
Грицина Ольга Романівна
Малачівський Петро Степанович
Нагірний Тарас Семенович
Притула Мирослав Григорович
Пянило Ярослав Данилович
2020-04-02
Updated: 2025-12-08
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