On sliding interface contact in layered smart structures

Abstract

• A dynamic, rough contact model is developed for smart structures. • Partial contact conditions and limiting cases are concerned. • The electric field and magnetic field are given explicitly. • The critical loading to achieve the full contact is determined. • Influences of the velocity and the gap are demonstrated. Based on the linear piezoelectricity and magnetoelectroelasticity theories, this study presents an exact solution for a frictionless, dynamic periodic contact problem of smart structures. Anisotropic piezoelectric materials and anisotropic magneto-electro-elastic materials both with wavy surfaces moves smoothly. The Galilean transformation and the dual series equation methods are used to derive exact solutions for dynamic wavy surface contact problem. The stresses, displacements, electric field and magnetic field are given explicitly for partial contact conditions. The influences of the velocity and the gap at the crests of the wavy surfaces on various physical quantities are detailed for the selected material coefficients of piezoelectric materials PVDF and magneto-electro-elastic materials BaTiO 3 − CoFe 2 O 4 . The illustrative examples imply that a higher critical loading leads to a full contact under two conditions: (1) at a higher velocity or (2) with an increased gap at the crests of the wavy surfaces. The largest magnitude of the surface normal stresses can be relieved by either lowering the velocity or reducing the gap at the crests of the wavy surfaces. The largest magnitudes of the surface electrical displacements and magnetic inductions occur at the edges of the contact region with spikes occurring, which suggests that the edges of the contact region are the likely locations of potential crack initiation and propagation.