The electroelastic problem of an eccentric crack off the center line in a functionally graded piezoelectric ceramic strip under anti-plane shear was analyzed by the integral transform approach. The traditional concept of linear elastic fracture mechanics is extended to include the piezoelectric effects and the results are expressed in terms of the stress intensity factor and the energy release rate. The normalized stress intensity factor increases when be a/h and e/h values increase, and also increase when the B values increase. The energy release rate has always positive values.
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