Dynamic Analysis of a Piezoelectric Material with an Impermeable Penny-Shaped Crack under Pure Torsional Wave

Abstract:

A torsional transient wave was assumed acting at infinity on the piezoelectric body with an embedded penny-shaped crack. Appropriate governing equations and boundary conditions have been built within the three-dimensional electroelasticity. The total displacement field was simply considered as the combination of two parts, one related to incident waves inducing an oscillating motion, and another with the scattered waves. An electric impermeable crack was assumed to simplify the mathematical analysis. The problem was formulated in terms of integral transforms techniques. Hankel transform were applied to obtain the dual integral equations, which were then expressed to Fredholm integral equations of the second kind.

• Periodical: Key Engineering Materials (Volumes 345-346)
• Pages: 433-436
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.345-346.433
• Online since: August 2007
• Authors: Zeng Tao Chen
• Keywords: Circumferentially Poling, Fracture Mechanic, Hankel Transform, Penny-Shaped Crack, Piezoelectric, Stress Intensity Factor (SIF), Torsional Waves

References

[1] S. Park, C.T. Sun: J. Am. Cera. Soc. 78 (1995), p.1475.

[2] A. Erdelyi: Tables of Integral Transforms, vol. 2, (McGraw-Hill, 1954).

[3] Z.T. Chen, B.L. Karihaloo: Int. J. Solids Struct. 36, (1999), p.5125.

[4] X.D. Wang, L.Y. Jiang: Int. J. Fract. 132 (2004) p.115.

[5] W.Q. Chen, H.J. Ding: Acta Mech. Sin. 15 (1999), p.52.

[6] V.Z. Parton, B.A. Kudryavtsev: Electromagnetoelasticity, (Gordon and Breach Publishers, 1988).

[7] F.Q. Yang: Quart. J. Mech. Appl. Math. 57 (2004), p.529.