The Interface Crack Problem of Bonded Piezoelectric and Elastic Half-Space Under Transient Electromechanical Loads

The interface crack problem of bonded piezoelectric and elastic half-space under transient electromechanical loads is considered. Both the permeable and impermeable boundary conditions are examined and discussed. Based on the use of integral transform techniques, the problem is reduced either to a singular integral equation for the permeable boundary condition or to two coupled singular integral equations for the impermeable boundary condition, which can be solved using Chebyshev polynomial expansions. Numerical results are provided to show the effect of the applied electric fields, the electric boundary conditions along the crack faces and a free surface on the resulting dynamic stress intensity factor and electric displacement intensity factor. ©2002 ASME

[1]  Xiaodong Wang.  On the dynamic behaviour of interacting interfacial cracks in piezoelectric media , 2001 .

[2]  Jeong Woo Shin,et al.  An eccentric crack in a piezoelectric strip under anti-plane shear impact loading , 2001 .

[3]  S. Meguid,et al.  The transient response of a piezoelectric strip with a vertical crack under electromechanical impact load , 2000 .

[4]  Shou-Wen Yu,et al.  Transient response of a crack in piezoelectric strip subjected to the mechanical and electrical impacts: mode-III problem , 2000 .

[5]  Shanyi Du,et al.  Electroelastic fracture dynamics for multilayered piezoelectric materials under dynamic anti-plane shearing , 2000 .

[6]  B. Karihaloo,et al.  Dynamic response of a cracked piezoelectric ceramic under arbitrary electro-mechanical impact , 1999 .

[7]  Y. Shindo,et al.  Scattering of antiplane shear waves by a finite crack in piezoelectric laminates , 1999 .

[8]  Yasuhide Shindo,et al.  Dynamic anti-plane shear of a cracked piezoelectric ceramic , 1998 .

[9]  Shaker A. Meguid,et al.  Dynamic antiplane behaviour of interacting cracks in a piezoelectric medium , 1998 .

[10]  Y. Shindo,et al.  Scattering of Love Waves by a Surface-Breaking Crack in Piezoelectric Layered Media , 1998 .

[11]  Zengtao Chen,et al.  Crack tip fields of piezoelectric materials under antiplane impact , 1997 .

[12]  Shaofan Li,et al.  Dynamic crack propagation in piezoelectric materials—Part I. Electrode solution , 1996 .

[13]  Shaofan Li,et al.  Dynamic crack propagation in piezoelectric materials—Part II. Vacuum solution , 1996 .

[14]  Y. Shindo,et al.  Dynamic stress intensity factor of a cracked dielectric medium in a uniform electric field , 1996 .

[15]  Horacio Sosa,et al.  Dynamic representation formulas and fundamental solutions for piezoelectricity , 1995 .

[16]  Andrew N. Norris,et al.  Dynamic Green’s functions in anisotropic piezoelectric, thermoelastic and poroelastic solids , 1994, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[17]  G. V. Narayanan,et al.  Numerical operational methods for time‐dependent linear problems , 1982 .

[18]  F. Durbin,et al.  Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method , 1974, Comput. J..

[19]  Max K. Miller,et al.  Numerical Inversion of the Laplace Transform by Use of Jacobi Polynomials , 1966 .