The transient response of a semi-infinite transversely isotropic piezoceramic strip containing an edge crack is analysed for the case where electric excitation is suddenly exerted at the material end surface. The crack is assumed to be impermeable to electric field. Ahypersingular integral equation for crack-opening displacement (COD) is derived via solving the associated mixed initial-boundary-value problem and solved numerically based on a collocation technique. By performing a numerical inversion of Laplace transform, dynamic CODs are determined and illustrated graphically.
DingH. J.ChenB.LiangJ.General solutions for coupled equations for piezoelectric media. Int. J. Solids Struct., 1996, 33, 2283–2298.
2.
SosaH.KhutoryanskyN.Further analysis of the transient dynamic response of piezoelectric bodies subjected to electric impulses. Int. J. Solids Struct., 2001, 38, 2101–2114.
3.
LiS.MatagaP. A.Dynamic crack propagation in piezoelectric materials-part I. Electrode solution. J. Mech. Phys. Solids, 1996, 44, 1799–1830.
4.
LiS.MatagaP. A.Dynamic crack propagation in piezoelectric materials-part II. Vacuum solution. J. Mech. Phys. Solids, 1996, 44, 1831–1866.
5.
ChenZ.-T.KarihalooB. L.YuS.-W.A Griffith crack moving along the interface of two dissimilar piezoelectric materials. Int. J. Fract., 1998, 91, 197–203.
6.
LiX.-F.FanT.-Y.WuX.-F.A moving mode-III crack at the interface between two dissimilar piezoelectric materials. Int. J. Eng. Sci., 2000, 38, 1219–1234.
7.
LiX.-F.Transient response of a piezoelectric material with a semi-infinite mode-III crack under impact loads. Int. J. Fract., 2001, 111, 119–130.
8.
ShindoY.NaritaF.OzawaE.Impact response of a finite crack in an orthotropic piezoelectric ceramic. Acta Mech., 1999, 137, 99–107.
9.
ChenZ.-T.KarihalooB. L.Dynamic response of a cracked piezoelectric ceramic under arbitrary electro-mechanical impact. Int. J. Solids Struct., 1999, 36, 5125–5133.
10.
KwonS. M.LeeK. Y.Edge cracked piezoelectric ceramic block under electromechanical impact loading. Int. J. Fract., 2001, 112, 139–150.
11.
ShinJ. W.KwonS. M.LeeK. Y.An eccentric crack in a piezoelectric strip under anti-plane shear impact loading. Int. J. Solids Struct., 2001, 38, 1483–1494.
12.
LiX-F.TangG. J.Transient response of a piezo-electric ceramic strip with an eccentric crack under electromechanical impacts. Int. J. Solids Struct., 2003, 40, 3571–3588.
13.
WangB. LHanJ. C.DuS. Y.Dynamic response for non-homogeneous piezoelectric medium with multiple cracks. Eng. Fract. Mech., 1998, 61, 607–617.
14.
WangB. L.NodaN.Transient loaded smart laminate with two piezoelectric layers bonded to an elastic layer. Eng. Fract. Mech., 2001, 68, 1003–1012.
15.
GuB.WangX.YuS.GrossD.Transient response of a Griffith crack between dissimilar piezo-electric layers under anti-plane mechanical and in-plane electrical impacts. Eng. Fract. Mech., 2002, 69, 565–576.
16.
MeguidS. A.ZhaoX.The interface crack problem of bonded piezoelectric and elastic half-space under transient electromechanical loads. J. Appl. Mech., 2002, 69, 244–253.
17.
ChenJ.LiuZ.ZouZ.Dynamic response of a crack in a functionally graded interface of two dissimilar piezoelectric half-planes. Arch. Appl. Mech., 2003, 72, 686–696.
18.
WangB. L.ZhangX. H.A mode III crack in a functionally graded piezoelectric material strip. J. Appl. Mech., 2004, 71, 327–333.
19.
ChueC.-H.OuY.-L.Mode III crack problems for two bonded functionally graded piezoelectric materials, Int. J. Solids Struct., 2005, 42, 3321–3337.
20.
LiX.-F.LeeK. Y.Crack growth in a piezoelectric material with a Griffith crack perpendicular to the poling axis. Philos. Mag., 2004, 84, 1789–1820.
21.
LiX.-F.LeeK. Y.Transient response of a semiinfinite piezoelectric layer with a surface permeable crack. ZAMP, 2006, 57, 636–651.
22.
LiX.-F.YangJ. S.Electromagnetoelastic behaviour induced by a crack under antiplane mechanical and inplane electric impacts. Int. J. Fract., 2005, 132, 49–64.
23.
KayaA. C.ErdoganF.On the solution of integral equations with strongly singular kernels. Q. Appl. Math., 1987, 45, 105–122.
