Magneto–electro interaction of two offset indenters in frictionless contact with magnetoelectroelastic materials

Within the theory of linear full-field magneto–electro–elasticity, magneto–electro interaction of two electrically-conducting and magnetically-conducting indenters acting over the surface of magnetoelectroelastic materials widely used in practical industries is examined. The operation theory, Fourier transform technique and integral equation technique are employed to address the two-dimensional, mixed boundary-value problem explicitly. The surface stresses, electric displacement and magnetic induction and their respective intensity factors are obtained in closed forms for two perfectly conducting semi-cylindrical indenters. Degradation from two perfectly conducting semi-cylindrical indenters to one single perfectly conducting cylindrical indenter is discussed. Numerical analyses are detailed to reveal the effects of the interactions between two semi-cylindrical indenters on contact behaviors subjected to multi-field loadings.