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Information × Registration Number 0120U104877, ( 0220U104124  0221U105756  0221U106342  ) R & D request Title Thermomechanics of anisotropic and smart materials with thread-like and shell-like inclusions Head Pasternak Yaroslav M., д.ф.-м.н. Registration Date 12-11-2020 Organization Lutsk National Technical University popup.description1 The aim of the project is to develop mathematical models of thermoelastic and thermomagnetoelastic media with thin shell-like or thread-like inclusions along with the methods for solving the corresponding boundary value problems of thermomechanics based on the boundary integral equation and the boundary element methods. For the first time it is planned to develop: a) models of thin spatial shell-like deformable inclusions, which also take into account the interaction of different physical fields; b) models for both spatial nondeformable and deformable thread-like inclusions, which are sensitive to the influence of fields of different physical nature; c) a mathematical theory for solving boundary value problems of mechanics and thermomechanics for domains with weakly formulated boundary conditions (for example, boundary conditions given on a line in spatial problems, which arise in the analysis of solids with thread-like inhomogeneities); d) algorithms for numerical solution of formulated problems on the basis of methods of integral equations and boundary elements; e) algorithms for determining the effective properties of composites with dispersed shell-like or thread-like (fiber) filament on the basis of generalization of the developed models and methods. The project will include analysis of the stress-strain state and concentration of physical fields near shell-like and thread-like inhomogeneities, the study of fracture of materials with inclusions of such type, as well as issues of imperfect contact of thin spatial inhomogeneities with the surrounding medium. All the above positions form a scientific novelty of the future results of the project, which in general solve the scientific problem of development the foundation and computational methods for the theory of fibrous composites. popup.nrat_date 2024-12-10 Close