Kryvyy О. Three-dimensional problems of the elastic theory for inhomogeneous anisotropic space involving the inner and interface defects

The approach to actual scientific problem of mechanics of the deform solid bodies, which is connected with the investigation of the stresses and displacements fields singularity near the inner and interface defects like cracks and inclusions under different contact interaction conditions with medium (full conjunction, smooth contact, mixed conditions, detachment), and also under different loading in the inhomogeneous anisotropic bodies had developed. The approach has based on constructing the new discontinuous solutions for the inhomogeneous anisotropic mediums. Using the last the problems about interface and inner defects had reduced to the system of 1-D or 2-D singular integral equations. The effective analytic and numeric-analytic methods had offered to solve the mentioned systems. The new nonaxisymmetric problems about inner and interface defects in the inhomogeneous anisotropic medium had solved. the considerable mechanics effects, which has generated by the influence of anisotropic material's properties, inhomogeneity, and also the defect's orientation in the inhomogeneous anisotropic mediums had established.