Higher order asymptotic solution for an interfacial crack in piezoelectric bimaterial under impact

This paper investigates the asymptotic transient structure of the near-tip field in an anisotropic piezoelectric bimaterial system under impact loading. By using an asymptotic methodology, the governing equation is reduced to a series of coupled partial differential equations. Using the extended version of Stroh's formulation and the method of analytical continuation, the problem is further recast into a Riemann-Hilbert problem of vector form. Upon solving the Riemann-Hilbert equation, the higher order near-tip transient asymptotic fields are obtained. For a bimaterial of PZT and PZT-4 piezoelectric ceramics, the direct and converse piezoelectric effects on the stress intensity factors and electric displacement intensity factors are clarified.