Summary
The solutions of an eccentric crack problem in a rectangular piezoelectric ceramic medium under combined anti-plane shear and in-plane electrical loadings are obtained by the continuous electric crack face condition. Fourier transforms and Fourier series are used to reduce the problem to two pairs of dual integral equations, which are then expressed by a Fredholm integral equation of the second kind. Numerical values of the stress intensity factor and the energy release rate are obtained to show the influence of the electric field.
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References
Pak, Y. E.: Linear electroelastic fracture mechanics of piezoelectric materials. Int. J. Fract.54, 79–100 (1992).
Shindo, Y., Narita, F., Tanaka, K.: Electroelastic intensifications near anti-plane shear crack in orthotropic piezoelectric ceramic strip. Theor. Appl. Fract. Mech.25, 65–71 (1996).
Shindo, Y., Tanaka, K., Narita, F.: Singular stress and electric fields of a piezoelectric ceramic strip with a finite crack under longitudinal shear. Acta Mech.120, 31–45 (1997).
Kwon, S. M., Lee, K. Y.: Analysis of stress and electric fields in a rectangular piezoelectric body with a center crack under anti-plane shear loading. Int. J. Solids Struct.37, 4859–4869 (2000).
Chen, Z. T., Karihaloo, B. L.: Dynamic response of a cracked piezoelectric ceramic under arbitrary electro-mechanical impact. Int. J. Solids Struct.36, 5125–5133 (1999).
Pak, Y. E.: Crack extension force in a piezoelectric material. Trans. ASME, J. Appl. Mech.57, 647–653 (1990).
Park, S. B., Sun, C. T.: Fracture criteria for piezoelectric ceramics. J. Am. Ceram. Soc.78, 1475–1480 (1995).
Suo, Z., Kuo, C. M., Barnett, D. M., Willis, J. R.: Fracture mechanics for piezoelectric ceramics. Journal Mech. Phys. Solids40, 739–765 (1992).
Suo, Z.: Models for breakdown-resistant dielectric and ferroelectric ceramics. J. Mech. Phys. Solids41, 1155–1176 (1993).
Tobin, A. G., Pak, Y. E.: Effect of electric field on fracture behavior of PZT ceramics. Proc. SPIE, Smart Structures and Materials1916, 78–86 (1993).
Tiersten, H. F., Sham, T. L.: On the necessity of including electricals conductivity in the description of piezoelectric fracture in real materials. IEEE Trans. Ultrason. Ferroelectr. Freq. Control45, 1–3 (1998).
Gao, C. F., Fan, W. X.: A general solution for the plane problem in piezoelectric media with collinear cracks. Int. J. Engng Sci.37, 347–363 (1999).
Gao, H., Zhang, T. Y., Tong, P.: Local and global energys release rates for an electrically yielded crack in a piezoelectric ceramic. J. Mech. Phys. Solids45, 491–510 (1997).
Zhang, T. Y., Tong, P.: Fracture mechanics for a mode III crack in a piezoelectric material. Int. J. Solids Struct.33, 343–359 (1996).
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Kwon, S.M., Lee, K.Y. Eccentric crack in a rectangular piezoelectric medium under electromechanical loadings. Acta Mechanica 148, 239–248 (2001). https://doi.org/10.1007/BF01183681
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DOI: https://doi.org/10.1007/BF01183681