Abstract
Scattering and dynamic stress concentrations of time harmonic SH-wave in an infinite elastic piezoelectric medium with a movable rigid cylindrical inclusion are studied in this paper with the help of complex variable and wave function expansion method. The relations that a movable rigid cylindrical inclusion depends on intensity of incident wave and electric field are revealed. The expressions of dynamic stress at the edge of the inclusion are obtained. Numerical calculations are made with different wave numbers and different piezoelectric characteristic parameters. The calculating results show that dynamic stress concentrations at the edge of the inclusion have linear dependence on the incident electric field. And dynamic analyses are very important for an infinite piezoelectric medium with a movable rigid cylindrical inclusion at larger piezoelectric characteristic parameters.
Similar content being viewed by others
References
PARTON V Z. Fracture mechanics of piezoelectric materials [J]. Acta Astronautica, 1976(3): 671–683.
PAK Y E. Crack extension force in a piezoelectric material [J]. J Appl Phys, 1990, 57: 647–653.
DUNN M L. The effects of cracks face boundary conditions on the fracture mechanics [J]. Eng Frac Mech, 1994, 48: 25–39.
SOSA H A. Plane problems in piezoelectric media with defects [J]. Int J Solids Structures, 1991, 28: 491–505.
ZHANG T Y, TONG P. Fracture mechanics for a mode III crack in a piezoelectric material [J]. Int J Solids Structures, 1996, 33: 343–359.
PARK S, SUN C T. Fracture criteria for piezoelectric materials [J]. J Am Ceram Soc, 1995, 78: 1475–1480.
WANG X D, MEGUID S A. Diffraction of SH — wave by interacting matrix crack in an inhomogeneity [J]. ASME J Appl Mech, 1997, 64: 568–575.
MEGUID S A, WANG X D. Dynamic antiplane behavior of interacting cracks in a piezoelectric medium [J]. Int J Fracture, 1998, 91: 391–403.
SONG T S. The scattering of SH wave and dynamic stress concentrations in a piezoelectric material with a circular hole [J]. Journal of Harbin Engineering University, 2002, 23 (1): 120–123 (in Chinese).
Author information
Authors and Affiliations
Additional information
Foundation item: Supported by the Nature Science Foundation of Heilongjiang Province of China (No. A00-10) and the Basis Research Foundation of Harbin Engineering University (No. HEUF04008).
Dr. SONG Tianshu, born in 1962, professor and vice-dean in School of Civil Engineering, Harbin Engineering University. His research interests include solid mechanics, engineering mechanics and elastic wave propagation in solids.
Rights and permissions
About this article
Cite this article
Song, Ts., Sun, Ll. & Yu, Zd. Dynamic anti-plane characteristic on an infinite piezoelectric medium with a movable rigid cylindrical inclusion. J Mar. Sc. Appl. 4, 61–64 (2005). https://doi.org/10.1007/s11804-005-0035-y
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11804-005-0035-y
Keywords
- piezoelectric medium
- movable rigid cylindrical inclusion
- scattering of SH-wave
- dynamic stress concentration