Stress state of anisotropic plate with elliptic elastic inclusion under the presence of a crack or a linear rigid inclusion (Q2759462)

An anisotropic plate with elliptic inclusion of another material, that is embedded without tightness, is considered. There is also a straight-line cut or an absolutely rigid inclusion, which are considered as particular cases of elliptic defect with equal to zero semi-axis. At infinity, perpendicular to crack (inclusion) uniform stresses are applied. Solution of the problem is reduced to determination of complex potentials for the plate and for the elliptic inclusion under corresponding boundary conditions. The potentials are represented by series of rational functions with unknown coefficients. The coefficients are found by the least square method. Numerical examples are considered, tables of stress concentration factors and values of maximal stresses are presented.