Grebeniuk S. The stress-strained state of the space constructions on the basis of homogenization of the fiber composites.

The research object is the deformation process of fibrous composites and structures. The research subject is the stress-strain state of fiber composite materials and structures. Research methods: analytical methods for solving boundary value problems and determining the effective elastic properties of fiber composite material, the modified finite element method to determine the stress-strain state composite structures. The objective of the research is to solve the problem of determining the stress-strain state spatial structures of fiber composites based on improved models elastic constants and developed effective approaches to numerical solution of boundary problems of solid mechanics. The results attained: in terms of analytical solutions by use of the presentation box unit the correlations for the effective elastic constants of the composite with the trans-tropic matrix and fiber are first obtained. It is constructed the stiffness matrix of the parallelepiped finite element on the basis of the moment scheme taking into account specific of the spatial orientation of the fibers. The approach to the solution of the geometrically non-linear problem with the help of modified Newton-Kantorovich method is described. On the basis of the approaches proposed it is developed package of the applied programs. The stress-strained state of the rubber-cord vibration isolators and the car tyre as well as the main carrier rocket fairing is determined. Introduced at M.K.Yangel State Design Office "Yuzhnoye" and at M.Polyakov Geotechnical Mechanics Institute of National Academy of Sciences of Ukraine. Area of application - engineering.