Nazarenko L. Models of coupled deformation and microdamaging of anisotropic composite materials of stochastic structure

The thesis concerns the investigation of the problem of the linear deformation of the composites with porous transversally-isotropic and orthotropic components and the problem of joint deformation and damageability (both the short-term and the long-term) of porous transversally-isotropic and orthotropic materials and composites with porous transversally-isotropic and orthotropic components on the basis of the methods of mechanics of stochastically nonhomogeneous media as well as the investigation of mechanism of deformation and damageability (both the short-term and the long-term) of porous transversally-isotropic and orthotropic materials and composites with porous transversally-isotropic and orthotropic components. On the basis of the method of conditional moment function, the porosity balance equations and the method of successive approximations the algorithms for determination of the effective deformative properties and stress-strain state of porous transversally-isotropic and orthotropic materials and composites with porous transversally-isotropic and orthotropic components under their microdamading (both the short-term and the long-term) are constructed. It is considered the composites of different structures. It is obtained the solution of above problems. The influence of damageability of material on the relationships between macrostresses, macrostrains and temperature is investigated. An influence of the physical-mechanical properties of materials, of the volume concentration and porosity of components, of the geometrical parameters of the structure and of character of the strength scatter in the material on the microdamaging of the material and as consequence the influence on the macrostress-macrostrain diagram is analyzed.