The anti-plane motion of two gradient non-homogeneous half-planes with the unilateral frictional interface
单侧摩擦梯度非均匀双半平面的反平面运动

The anti-plane motion of two half-planes, both are composed of gradient non-homogeneous media and the interface between them is unilateral interface with Coulomb friction, is investigated. When the gradient parameters of media vary by the law of the second power, analytical solutions of the problem are obtained. The stick zone and the slip zone and distributions of the shearing traction and relative slip quantities in these zones are given. Though the numerical calculation to wave field under the incidence of the parabolic wave pulse, it is found that the distributions of the shearing traction at the interface are shown as anti-two peaky ship. The direct and inverse slip zones appear nearby the peak points and their range decrease with the increase the external pressure applied to the interface. When the external pressure reach a certain value, the slip zone disappear, the whole interface will be completely stuck together.