Indentation of piezoelectromagneto-elastic half-space by a truncated conical punch

The indentation for piezoelectromagneto-elastic half-space by a truncated conical punch is investigated. The authors formulate the problem as the solution of dual integral equations, which are solved exactly. Analytical full-field solutions of a magnetoelectro-elastic half-space are presented. The physical quantities, which characterize the contact region and the stress singularity, are obtained. The electric displacement and magnetic induction intensity factors are presented analytically. The relations between the total force, electric and magnetic potentials under the punch and depth of penetration, radius of contact region are presented graphically. The effect of material constants in piezoelectric/magneto-strictive composite upon contact area and depth of penetration of the punch is discussed.