Theoretical Transient Analyses of Stress Wave Propagation and Dynamic Fracture for Interfacial Crack in Elastic-Piezoelectric Bi-materials
Date Issued
2006
Date
2006
Author(s)
Chen, Xi-Hong
DOI
en-US
Abstract
In transversely isotropic elastic solids, there is no surface wave for anti-plane deformation. However, for certain orientations of piezoelectric materials, a surface wave propagating along the free surface (interface) will occur and is called the Bleustein-Gulyaev (Maerfeld-Tournois) surface wave. The existence of the surface wave strongly influences the crack propagation event. Hence the existence condition and velocity of the interfacial surface wave between two piezoelectric materials are analyzed. The nature of anti-plane dynamic fracture in piezoelectric materials is fundamentally different from that in purely elastic solids. Piezoelectric surface wave phenomena are clearly seen to be critical to the behavior of the moving crack. In this study, the problem has characteristic lengths and a direct attempt towards solving this problem by transform and Wiener-Hopf techniques is not applicable. A new fundamental solution for propagating interfacial crack between elastic-piezoelectric bi-materials is proposed and the transient response of the propagating crack is determined by superposition of the fundamental solution in the Laplace transform domain. The fundamental solution to be used is the responses of applying exponentially distributed traction in the Laplace transform domain on the propagating crack surface. Four situations for different combination of shear wave velocity and the existence of MT surface wave are discussed to completely analyze this problem. Exact analytical transient solutions are obtained by using the Cagniard-de Hoop method of Laplace inversion and are expressed in explicit forms. Finally, numerical results for the transient solutions are evaluated and discussed in detail.
Subjects
擴展裂紋
壓電材料
表面波
疊加法
動力強度因子
Crack propagation
Piezoelectric material
Surface wave
Superposition
Dynamic intensity factor
Type
thesis
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