Interplay between Fracture and Domain Switching of Ferroelectrics

Abstract:

Applications of above-coercive electric fields lead to domain switching of a large or global scale. Large scale switching model is proposed to deal with load-induced domains witching in experiment. Both a discussion of crack initiation via the stress intensity factor and a discussion of crack path stability via T-stress are presented. The theoretical predictions and the experimental data roughly coincide for crack initiation, propagation and stability phenomena. Attention is also extended to consider the effect of non-uniform ferro-elastic domain switching in the vicinity of a crack. The domain switching zone is divided into a saturated inner core and an active surrounding annulus. Toughening for ferroelectrics with different poling states is estimated via Reuss type approximation. Solutions obtained according to spherical and cylindrical inclusions cover the range of experimental data.

• Periodical: Key Engineering Materials (Volumes 306-308)
• Pages: 501-510
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.306-308.501
• Online since: March 2006
• Authors: Y.Q. Cui, Wei Yang
• Keywords: Crack, Domain Switching, Ferroelectric, Fracture, R-Curve, T-Stress

References

[1] K. Uchino: Ferroelectric Devices (Marcel Dekker, New York 2000).

[2] S.C. Hwang, C.S. Lynch and R.M. McMeeking: Acta Metall. Mater. Vol. 43 (1995), p. (2073).

[3] T. Zhu and W. Yang: Acta Mater. Vol. 41 (1997), p.4695, Errata, Acta Mater. Vol. 46 (1999), p.2251.

[4] W. Yang and T. Zhu: J. Mech. Phys. Solids Vol. 46 (1998), p.291.

[5] W. Yang: Mechatronic Reliability (Tsinghua University Press and Springer-Verlag, Berlin 2002).

[6] T. Zhu and W. Yang: J. Mech. Phys. Solids Vol. 47 (1999), p.81.

[7] B. Cotterell and J.R. Rice: Int. J. Fract. Vol. 16 (1980), p.155.

[8] B.N. Cox, D.B. Marshall, D. Kouris and T. Mura: J. Eng. Mater. Technol. -T. ASME Vol. 110 (1988), p.105.

[9] D.B. Marshall, M.C. Shaw, R.H. Dauskardt, R.O. Ritchie, M.J. Readey and A.H. Heuer: J. Am. Ceram. Soc. Vol. 73 (1990), p.2659.

[10] A. Förderreuther, G. Thurn, A. Zimmermann and F. Aldinger: J. Eur. Ceram. Soc. Vol. 22 (2002), p. (2023).

[11] S. Hackemann and W. Pfeiffer: J. Eur. Ceram. Soc. Vol. 23 (2003), p.141.

[12] B. Budiansky, J.W. Hutchinson and J.C. Lambropoulos: Int. J. Solids Struct. Vol. 19 (1983), p.337.

[13] C. Hsueh and P.F. Becher: J. Am. Ceram. Soc. Vol. 71 (1988), p.494.

[14] C.S. Yu, D.K. Shetty, M.C. Shaw and D.B. Marshall: J. Am. Ceram. Soc. Vol. 75 (1992), p.2991.

[15] J. Nuffer, D.C. Lupascu and J. Rödel: Acta Mater. Vol. 48 (2000), p.3783.

[16] A.B. Kounga, T. Fett, D.C. Lupascu and J. Rödel: J. Am. Ceram. Soc. Vol. 86 (2003), p. (1973).

[17] D. Zhou: Experimental investigation of non-linear constitutive behavior of PZT piezoceramics (Ph.D. Thesis, Karlsruhe University 2003).

[18] T. Fett: Compendium of T-stress solutions (FZKA 6057, Forschungszentrum Karlsruhe, 1998).

[19] F. Erdogan: Proceedings of the Fourth U.S. National Congress of Applied mechanics. (ASME 1962, p.547).

[20] G.C. Sih: Transactios, the Chinese Association for the Advancement of Sciences (Taipei 1962, p.25).

[21] W. Yang, H.T. Wang, F. Fang and Y.Q. Cui: Theor. Appl. Fract. Mec. Vol. 37 (2001), p.397.

[22] B. Jaffe, W.R. Cook and H. Jaffe: Piezoelectric Ceramics (Academic Press, London and New York 1971).

[23] M.E. Lines and A.M. Glass: Principles and Applications of ferroelectrics and related materials (Clardeon Press, Oxford 1979).

[24] A. Kolleck, G.A. Schneider and F.A. Meschke: Acta Mater. Vol. 48 (2000), p.4099.

[25] H.C. Cao and G. Evans: J. Am. Ceram. Soc. Vol. 76 (1993), p.890.

[26] A.B. Schäufele and K.H. Härdtl: J. Am. Ceram. Soc. Vol. 79 (1996), p.2637.

[27] H. Gao: J. Mech. Phys. Solids Vol. 37 (1989), p.133.

[28] D.A. Hall, A. Steuwer, B. Cherdhirunkorn, P.J. Withers and T. Mori: J. Mech. Phys. Solids Vol. 37 (2005), p.133.

[29] W. Yang, F. Fang and M. Tao: Int. J. Solids Struct. Vol. 38 (2001), p.2203.