Linear electro-elastic fracture mechanics of piezoelectric materials

International Journal of Fracture Mechanics - Tập 54 - Trang 79-100 - 1992
Y. E. Pak1
1Grumman Corporate Research Center, Bethpage, USA

Tóm tắt

The concepts of linear elastic fracture mechanics, generalized to treat piezoelectric effects, are employed to study the influence of the electrical fields on the fracture behavior of piezoelectric materials. The method of distributed dislocations and electric dipoles, already existing in the literature, is used to calculate the electro-elastic fields and the energy-release rate for a finite crack embedded in an infinite piezoelectric medium which is subjected to both mechanical and electric loads. The energy-release rate expressions show that the electric fields generally tend to slow the crack growth. It is shown that the stress intensity factor criterion and the energy-release rate criterion differ when the energetics of the electric field is taken into account. The study of crack tip singular stress field yields a possible explanation for experimentally observed crack skewing in the presence of a strong electric field.

Tài liệu tham khảo

R.C. Pohanka and P.L. Smith, in Electronic Ceramics, L.M. Levinson (ed.), Marcel Dekker, New York (1988). K.D. McHenry and B.G. Koepke, in Fracture Mechanics of Ceramic 5, R.C. Bradt, A.G. Evans, P.H. Hasselman, and F.F. Lange (eds.), Plenum Press, New York (1983) 337–352. B.G. Koepke, K.D. McHenry, L.M. Seifried and R.J. Stokes, IEEE Ultrasonic Symposium, Williamsburg, Virginia, November 19, 1986. V.Z. Parton, Acta Astronautica 3 (1976) 671–683. W.F. Deeg, ‘The Analysis of Dislocation, Crack, and Inclusion Problems in Piezoelectric Solids’, Ph.D. thesis, Stanford University (1980). G.G. Pisarenko, V.M. Chushko and S.P. Kovalev, Journal of American Ceramic Society 68 (1985) 259–265. Y.E. Pak, Journal of Applied Mechanics 57 (1990) 647–653. H.A. Sosa and Y.E. Pak, International Journal of Solids and Structures 26 (1990) 1–15. B.A. Bilby and J.D. Eshelby, in Fracture I, H. Liebowitz (ed.), Academic Press, New York (1968) 99–182. D.M. Barnett and R.J. Asaro, Journal of Mechanics and Physics of Solids 20 (1972) 353–366. A.N. Stroh, Philosophical Magazine 3 (1958) 625–646. A.N. Stroh, Journal of Mathematical Physics 41 (1962) 77–103. D.M. Barnett and J. Lothe, Physica Status Solidi (b) 67 (1975) 105–111. D.M. Barnett and J. Lothe, Physica Norvegica 7 (1973) 13–19. D.J. Bacon, D.M. Barnett and R.O. Scattergood, in Progress in Material Science, B. Chalmers et al. (eds.), Pergamon Press, 23 (1979) 51–262. H.F. Tiersten, Linear Piezoelectric Plate Vibrations, Plenum Press, New York (1969) 34. L.M. Landau and E.M. Lifshitz, Electrodynamics of Continuous Media, Pergamon Press, Oxford (1960) 40. J.D. Jackson, Classical Electrodynamics, John Wiley & Sons, New York (1975) 149. W.G. Cady, Piezoelectricity, Dover Publications, New York (1964) 262.