Oliiarnyk N. Boundary-element modeling of longitudinal shear of anisotropic bodies with thin inclusions and belt straps

The thesis develops the approach for determination of the stress-strain state and stress concentration in anisotropic solids with thin inhomogeneities under the action of the longitudinal shear. The problems of antiplane deformation of infinite and finite solids containing thin elastic inclusions of different shape under the action of concentrated forces and screw dislocations are studied.Based on the derived equations for periodic and doubly periodic sets of thin inhomogeneities the stress-strain state of anisotropic solids, reinforced with regular sets of elastic inclusions of various shape is calculated. The equations for determination of the dependence of effective properties of composites with regularly distributed filament are proposed. The models of thin elastic inclusions with the imperfect contact (partial and complete debonding of inclusion's faces) with anisotropic elastic medium are obtained. The approaches for the analysis of antiplane deformation of solids containing thin branched inhomogeneities are proposed. A number of new practically important problems concerning antiplane deformation of solids with inclusions of standard profile and pull-out of rigid inclusions from an elastic medium are considered.