Explicit transient solutions for a mode III crack subjected to dynamic concentrated loading in a piezoelectric material

Transient analysis of a mode-III crack propagating in a piezoelectric medium

“…This work is a continuation of the study given by Ing and Wang (2004) in which the attention was focused on the investigation of transient responses of a stationary crack subjected to anti-plane loading in a piezoelectric material. In this study, a further investigation is performed to understand dynamic fracture responses of a propagating piezoelectric crack subjected to a pair of concentrated loadings on crack faces.…”

“…A new fundamental solution is derived and the transient solution is determined by superposition of the fundamental solution in the Laplace transform domain. Similar superposition techniques had been successfully used to solve many transient problems of a stationary crack (Ing and Ma, 1996, 1997aIng and Wang, 2004) and a propagating crack (Ing and Ma, 1997bIng and Lin, 2002) for purely elastic solids. It demonstrates a powerful method to deal with crack problems with characteristic lengths.…”

Comments on ‘‘Dynamic crack propagation in piezoelectric materials—Part I. Electrode solution’’ by Shaofan Li, Peter A. Mataga [J. Mech. Phys. Solids 44 (1996) 1799–1830]

“…where I À ðz; 0Þ and I þ ðz; 0Þ are the corresponding components of product decomposition in the case of v ¼ 0 (Ing and Wang, 2004 …”

Dynamic Crack Propagation in Piezoelectric Materials Subjected to Dynamic Body Forces for Vacuum Boundary

“…Ing and Ma [16,17] solved the problem of a finite crack subjected to a dynamic anti-plane point loading and a horizontally polarized shear wave in isotropic solids, but only dynamic stress intensity factors were obtained in closed forms. The transient problem of a stationary crack for purely piezoelectric solids was studied by Ing and Wang [22]. Kwon and Lee [19] investigated the crack problem of an infinitely long piezoelectric ceramic strip containing a Griffith crack moving with constant velocity.…”