An Analysis of Electrically Conducting and Magnetically Permeable Interface Crack in a Piezoelectromagnetic Bimaterial

Exact analytical approach for plane stain investigation of piezoelectric/piezomagnetic bimaterial with magnetically permeable and electrically conducting crack located at the interface between its components is suggested. It is assumed that a normal and shear stresses field and also the electric and magnetic fields paralleled to the crack are given at infinity. First, an open crack is considered, and then it is assumed that the crack faces may have a frictionless contact at a certain section of unknown length, which is adjacent to one of the crack tip. In the last case the combined Dirichlet-Riemann boundary value problem and Hilbert problem have been formulated and the exact analytical solution has been presented. For both cases a numerical illustrations of the obtained solutions were done for different values of mechanical and electric fields at infinity. The dependence of magnetic, electric and mechanical characteristics on the mechanical load and electric field were investigated.