Pre-fracture zones modelling for a limited permeable crack in an interlayer between magneto-electro-elastic materials

The problem is reduced to the Hilbert-Riemann problem of linear relationship, which is solved exactly. The equations for determination of the pre-fracture zone lengths, the expressions for the crack opening displacement jump, electrical potential and magnetic induction jumps and J-integral are obtained in an analytical form. Some numerical results which illustrate the influence of various characteristics on fracture parameters are presented in graphical and tabular form.