Kosheliuk V. Calculation of composite bodies with cracks under combined action of mechanical and thermal loads

The thesis is devoted to development of a mathematical model of behavior of composite solids containing cracks, taking into account mechanical and thermal stresses. For solving the problems of thermoelasticity for structurally heterogeneous anisotropic elements special modified finite elelemets are developed on the basis of the variational relations of heat conductivity and thermoelasticity problems. There are developed software for finite-element analysis of the composite bodies with cracks, which allow producing fast and reliable analysis of strength of structural elements from composite materials, and allows development of mathematical models of real products, changing the design without experiments, perform simulation of investigated structural elements accounting for different physics processes and properties, their geometry, properties of materials, operational and other characteristics. It is performed the calculations of stress intensity factors of boundary cracks in a composite ring of a compressor, enabling these probabilistic analysis of its fracture toughness and fatigue. The research findings presented in this thesis have both theoretical and practical interest. The proposed technique can be used in solving the various problems of engineering practice.