Abstract
The electro-elastic problem of a transversely isotropic piezoelectric material with a flat crack occupying the outside of a circle perpendicular to the poling axis is considered in this paper. By using the Hankel transform technique, a mixed boundary value problem associated with the considered problem is solved analytically. The results are presented in closed form both for impermeable crack and for permeable crack. A full field solution is given, i.e., explicit expressions for electro-elastic field at any point in the entire piezoelectric space, as well as field intensity factors near the crack front, are determined. A numerical example for a cracked PZT-5H ceramic is given, and the effects of applied electric fields on elastic and electric behaviors are presented graphically.
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Li, XF., Lee, K.Y. Electro-elastic behavior induced by an external circular crack in a piezoelectric material. International Journal of Fracture 126, 17–38 (2004). https://doi.org/10.1023/B:frac.0000025299.07167.60
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DOI: https://doi.org/10.1023/B:frac.0000025299.07167.60