Following the theory of linear piezoelectricity, we consider the electro-elastic problems of a finite crack in an ortnotropic piezoelectric strip. By the use of Fourier transforms we reduce the problem to solving a pair of dual integral equations. The solution to the dual integral equations is then expressed in terms of a Fredholm integral equation of the second kind. Numerical calculations are carried out, and the stress and electric field intensity factors are shown graphically for piezoelectric ceramics.
Get full access to this article
View all access options for this article.
References
1.
PaulH.S. and VenkatesanM., The torsional vibration of a piezoelectric solid cylinder of arbitrary cross section of (622) class, Int. J. Engrg. Sci. 26-5 (1988) 437–443.
2.
NiitsumaH. and ChubachiN., Fracture strength evaluation of piezoelectric ceramics by fracture mechanics parameter, Jpn. J. Appl. Phys., 22, Suppl. 22-3 (1983) 121–123.
3.
TierstenH.F, Linear Piezoelectric Plate Vibration (Plenum Press, New York, 1969).
4.
NowackiW., Foundations of Linear Piezoelectricity, Electromagnetic Interactions in Elastic Solids, Ed. ParkusH. (Springer-Verlag, Wien-New York, 1979) 105–157.
5.
PartonV.Z., Fracture mechanics of piezoelectric materials, Acta Astronautica3 (1976) 671–683.
6.
PisarenkoG.G., ChushkoV.M. and KovalevS.P., Anisotropy of fracture toughness of piezoelectric ceramics, J. Am. Ceram. Soc. 68-5 (1985) 259–265.
7.
DeegW.F., The analysis of dislocation, crack, and inclusion problems in piezoelectric solids, Ph.D., Stanford University (1980).
8.
SneddonI.N. and LowengrubM., Crack Problems in the Classical Theory of Elasticity (John Wiley & Sons, Inc., New York-London-Sydney-Toronto, 1969).
