Abstract
The plane problem of a finite Griffith crack moving with a constant velocity in piezoelectric ceramics, which are subjected to far-field mechanical and electrical loads, is studied. The closed-form expressions for the electroelastic fields are obtained based on the extended Stroh formalism. Special attention is paid to the dependence of the normalized hoop stresses near a crack tip on crack velocity, electrical to mechanical load ratios and material properties. The calculated normalized hoop stresses are employed to predict the propagation direction of a moving crack based on the maximum tensile stress criterion.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Fang D.N., Soh A.K., Liu J.X., 2001. Electromechanical deformation and fracture of piezoelectric/ferroelectric materials. Acta Mech Sinica 17, 193–213.
Zhang T. Y., Zhao M. H., Tong P., 2001. Fracture of piezoelectric ceramics. Advances in Applied mechanics 38, 147–289.
Dascalu C., Maugin, G.A., 1995. On the dynamic fracture of piezoelectric materials. QJ Mech Appl Math 48, 237–255.
Li S.F., Mataga P.A., 1996. Dynamic crack propagation in piezoelectric materials- -part I. electrode solution. J Mech Phys Solids 44, 1799–1830.
Li S.F., Mataga P.A., 1996. Dynamic crack propagation in piezoelectric materials- -part II. Vacuum solution. J Mech Phys Solids 44, 1831–1866.
Chen Z.T., Yu S.W., 1997. Anti-plane Yoffe crack problem in piezoelectric materials. Int J Fracture 84, L41–L45.
Chen Z.T., Karihaloo B. L., Yu S.W., 1998. A Griffith crack moving along the interface of two dissimilar piezoelectric materials. Int J Fracture 91. 197–203.
Kwon J.H., Lee K.Y., Kwon, S M., 2000. Moving crack in a piezoelectric ceramic strip under anti-plane shear loading. Mech Res Commun 27 327–332.
Kwon J.H., Lee K.Y., 2000. Moving interfacial crack between piezoelectric ceramic and elastic layers. Eur J Mech A/Solids 19, 979–987.
Li X.F., Fan T.Y., Wu X. F., 2000. A moving Mode-III crack at the interface between two dissimilar piezoelectric materials. Int J Engng Sci 38, 1219–1234.
Yoffe E.H., 1951. The moving Griffith crack. Phil Mag 42, 739–750.
Freund L.B., 1990. Dynamic Fracture Mechanics. Cambridge University Press, New York.
Maugin G.A., 1988. Continuum Mechanics of Electromagnetic Solids. North-Holland, Amsterdam.
Stroh A.N., 1962. Steady state problems in anisotropic elasticity. J Math Phys 41, 77–103.
Lothe J., Barnett D.M., 1976. Integral formalism for surface waves in piezoelectric crystals. Existence considerations. J Appl Phys 47, 1799–1807.
Suo Z., Kuo C. M., Barnett D. M., Willis, J.R., 1992. Fracture mechanics for piezoelectric ceramics. J Mech Phys Solids 40, 739–765
Ting T.C.T., 1996. Anisotropic Elasticity: Theory and Applications. Oxford University Press, Oxford.
Shindo Y., Watanabe K., Narita F., 2000. Electroelastic analysis of a piezoelectric ceramic with a central crack. Int J Engng Sci 38, 1–19.
Daros C.H., Antes H., 2000. On strong ellipticity conditions for piezoelectric materials of the crystal classes 6 mm and 622. Wave Motion 31, 237–253.
McHenry K.D., Koepke B.G., 1983. Electric fields effects on subcritical crack growth in PZT. In Fracture mechanics of Ceramics (Edited by R. C. Bradt, D. P. Hasselman and F. F. Lange ). 5, 337–352.
Park S.B., Sun C.T., 1995. Effect of electric fields on fracture of piezoelectric ceramics. Int J Fracture 70, 203–216.
Kumar S., Singh R. N., 1996. Crack propagation in piezoelectric materials under combined mechanical and electrical loadings. Acta Mater 44. 173–200.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Kluwer Academic Publishers
About this chapter
Cite this chapter
Soh, A.K., Lee, K.L., Liu, J.X., Fang, D.N. (2003). Behavior of a Moving Griffith Crack in Piezoelectric Ceramics. In: Yang, J.S., Maugin, G.A. (eds) Mechanics of Electromagnetic Solids. Advances in Mechanics and Mathematics, vol 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0243-8_4
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0243-8_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7957-7
Online ISBN: 978-1-4613-0243-8
eBook Packages: Springer Book Archive