Abstract
Closed form solutions for all three modes of fracture for an infinite piezoelectric medium containing a center crack subjected to a combined mechanical and electrical loading were obtained. The explicit mechanical and electrical fields near the crack tip were derived, from which the strain energy release rate and the total potential energy release rate were obtained by using the crack closure integral. The suitability in using the stress intensity factor, the total energy release rate, or the mechanical strain energy release rate as the fracture criterion was discussed.
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References
V.Z. Parton, Acta Astronautica 3 (1976) 671–683.
R.M. McMeeking, International Journal of Engineering Science 28 (1990) 605–613.
V.Z. Parton and B.A. Kudryavtsev, Electromagnetoelasticity, Gordon and Breach Science Publishers, New York (1988).
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.
M.L. Williams, Journal of Applied Mechanics (1957) 109–114.
H.A. Sosa, International Journal of Solids and Structures 28 (1991) 491–505.
H.A. Sosa, International Journal of Solids and Structures 29 (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.
G.P. Cherepanov, Mechanics of Brittle Fractur, McGraw-Hill, New York (1979).
Y.E. Pak and G. Herrmann, International Journal of Engineering Science 24 (1986) 1365–1374.
K.D. McHenry and B.G. Koepke, Fracture Mechanics of Ceramics 5 (1983) 337–352.
R.C. Pohanka and P.L. Smith, Electronic Ceramics, Marcel Dekker, New York (1988).
A.G. Tobin and Y.E. Pak, SPIE 1916 (1993) 78–86.
A.N. Stroh, Philosophical Magazine 3 (1958) 625–646.
A.N. Stroh, Journal of Mathematics and Physics 41 (1962) 77–103.
D.M. Barnett and J. Lothe, Physica Status Solidi (b) 67 (1975) 105.
W.F.J. Deeg, Ph.D. thesis, Stanford University (1980).
H.F. Tiersten, Linear Piezoelectric Plate Vibrations, Plenum Press, New York (1969).
G.R. Irwin, Proceedings 1st Symposium Naval Structural Mechanics (1960) 557–591.
J.R. Rice, Journal of Applied Mechanics 35 (1968) 376–389.
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Park, S.B., Sun, C.T. Effect of electric field on fracture of piezoelectric ceramics. Int J Fract 70, 203–216 (1993). https://doi.org/10.1007/BF00012935
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DOI: https://doi.org/10.1007/BF00012935