Abstract
A complete form of stress and electric displacement fields in the vicinity of the tip of an interfacial crack, between two dissimilar anisotropic piezoelectric media, is derived by using the complex function theory. New definitions of real-valued stress and electric displacement intensity factors for the interfacial crack are proposed. These definitions are extensions of those for cracks in homogeneous piezoelectric media. Closed form solutions of the stress and electric displacement intensity factors for a semi-infinite crack as well as for a finite crack at the interface between two dissimilar piezoelectric media are also obtained by using the mutual integral.
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References
V.Z. Parton, Acta Astronautica 3 (1976) 671–683.
H.A. Sosa and Y.E. Pak, International Journal of Solids and Structures 26 (1990) 1–15.
Y.E. Pak, Journal of Applied Mechanics 57 (1990) 647–653.
Y.E. Pak, International Journal of Fracture 54 (1992) 79–100.
H. Sosa, International Journal of Solids and Structures 21 (1992) 2613–2622.
Z. Suo, C.-M. Kuo, D.M. Barnett and J.R. Willis, Journal of the Mechanics and Physics of Solids 40 (1992) 739–765.
D.M. Barnett and J. Lothe, Physica Status Solidi (B) 67 (1975) 105–111.
K.-C. Wu, Journal of Applied Mechanics 57 (1990) 882–886.
J. Qu and Q. Li, Journal of Elasticity 26 (1991) 169–195.
J.R. Rice, Journal of Applied Mechanics 55 (1988) 98–103.
H.G. Beom and S.N. Atluri, submitted (1994).
W.T. Chow, H.G. Beom and S.N. Atluri, Computational Mechanics, accepted (1994).
J.C. Rice, Journal of Applied Mechanics 35 (1968) 379–386.
J.K. Knowles and E. Sternberg, Archive for Rational Mechanics and Analysis 44 (1972) 187–211.
L.B. Freund, International Journal of Solids and Structures 14 (1978) 241–250.
J.R. Rice, in Fundamentals of Deformation of Fracture, B.A. Bilby, K.J. Miller and J.R. Willis (eds.), Cambridge University Press, Cambridge (1985) 33–56.
F.H.K. Chen and R.T. Shield, Zeitshrift fuer Angewandte Mathematik und Physik 28 (1977) 1–22.
K.-C. Wu, Journal of Applied Mechanics 56 (1989) 780–785.
Y.J. Cho, H.G. Beom and Y.Y. Earmme, International Journal of Fracture 65 (1994) 63–73.
Y.E. Pak and G. Herrmann, International Journal of Engineering Science 24 (1986) 1365–1374.
Y.E. Pak and G. Herrmann, International Journal of Engineering Science 24 (1986) 1365–1388.
R.M. McMeeking, International Journal of Engineering Science 28 (1990) 605–613.
C. Dascalu and G.A. Maugin, International Journal of Engineering Science 32 (1994) 755–765.
G.P. Cherepanov, Mechanics of Brittle Fracture, McGraw-Hill, New York (1979).
Z. Suo, Proceedings of the Royal Society (London), A 427 (1990) 331–358.
C.-S. Yeh, Y.-C. Shu and K.-C. Wu, Proceedings of the Royal Society (London), A 443 (1993) 139–151.
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Beom, H.G., Atluri, S.N. Near-tip fields and intensity factors for interfacial cracks in dissimilar anisotropic piezoelectric media. Int J Fract 75, 163–183 (1996). https://doi.org/10.1007/BF00034075
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DOI: https://doi.org/10.1007/BF00034075