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Domain switch toughening in polycrystalline ferroelectrics

Published online by Cambridge University Press:  01 January 2006

Jianxin Wang  and
Chad M. Landis
Jianxin Wang
Affiliation:
Department of Mechanical Engineering and Materials Science, Rice University, Houston, Texas 77005
Chad M. Landis*
Affiliation:
Department of Mechanical Engineering and Materials Science, Rice University, Houston, Texas 77005
*
a)Address all correspondence to this author. e-mail: [email protected] This paper was selected as the Outstanding Meeting Paper for the 2005 MRS Spring Meeting Symposium CC Proceedings, Vol. 881E.
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Abstract

Mode I steady crack growth was analyzed to determine the toughening due to domain switching in ferroelectric ceramics. A multi-axial, electromechanically coupled, incremental constitutive theory is applied to model the material behavior of the ferroelectric ceramic. The constitutive law is then implemented within the finite element method to study steady crack growth. The effects of mechanical and electrical poling on the fracture toughness are investigated. Results for the predicted fracture toughness, remanent strain distributions, and domain switching zone shapes and sizes are presented. Finally, the model predictions are discussed in comparison discrete switching models and to experimental observations.

Keywords

FerroelectricFracturePiezoelectric
Type
Outstanding Meeting Papers: Articles
Information
Journal of Materials Research , Volume 21 , Issue 1 , January 2006 , pp. 13 - 20
Copyright
Copyright © Materials Research Society 2006

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References

REFERENCES

1.Pisarenko, G.G., Chusko, V.M. and Kovalev, S.P.: Anisotropy of fracture toughness of piezoelectric ceramics. J. Am. Ceram. Soc. 68, 259 (1985).CrossRefGoogle Scholar
2.Metha, K. and Virkar, A.V.: Fracture mechanisms in ferroelectric-ferroelastic lead zirconate titanate (Zr:Ti = 0.54:0.46) ceramics. J. Am. Ceram. Soc. 73, 567 (1990).Google Scholar
3.Tobin, A.G. and Pak, Y.E.: Effect of electric fields on fracture behavior of PZT ceramics. Proc. SPIE 1916, 78 (1993).CrossRefGoogle Scholar
4.Wang, H. and Singh, R.N.: Crack propagation in piezoelectric ceramics: Effects of applied electric field. J. Appl. Phys. 81, 7471 (1997).CrossRefGoogle Scholar
5.Schneider, G.A. and Heyer, V.: Influence of the electric field on Vickers indentation crack growth in BaTiO3. J. Eur. Ceram. Soc. 19, 1299 (1999).CrossRefGoogle Scholar
6.Lucato, S.L., Lindner, J., Lupascu, D.C. and Rödel, J.: Influence of electrical and geometrical boundary conditions on crack growth in PZT. Key Eng. Mater. 206–213, 609 (2002).Google Scholar
7.Yang, W., Fang, F. and Tao, M.: Critical role of domain switching on the fracture toughness of poled ferroelectrics. Int. J. Solids Struct. 38, 2203 (2001).CrossRefGoogle Scholar
8.Hackemann, S. and Pfeiffer, W.: Domain switching in process zones of PZT: Characterization by micro diffraction and fracture mechanical methods. J. Eur. Ceram. Soc. 23, 141 (2003).CrossRefGoogle Scholar
9.Kamlah, M.: Ferroelectric and ferroelastic piezoceramics—modeling and electromechanical hysteresis phenomena. Continuum Mech. Thermodyn. 13, 219 (2001).CrossRefGoogle Scholar
10.Landis, C.M.: Non-linear constitutive modeling of ferroelectrics. Curr. Opin. Solid State Mater. Sci. 8, 59 (2004).CrossRefGoogle Scholar
11.Landis, C.M.: Fully coupled, multi-axial, symmetric constitutive laws for polycrystalline ferroelectric ceramics. J. Mech. Phys. Solids 50, 127 (2002).CrossRefGoogle Scholar
12.Landis, C.M.: On the strain saturation conditions for polycrystalline ferroelastic materials. J. Appl. Mech. 70, 470 (2003).CrossRefGoogle Scholar
13.Landis, C.M., Wang, J. and Sheng, J.: Micro-electromechanical determination of the possible remanent strain and polarization states in polycrystalline ferroelectrics and implications for phenomenological constitutive theories. J. Intell. Mater. Syst. Struct. 15, 513 (2004).CrossRefGoogle Scholar
14.Huber, J.E., Fleck, N.A., Landis, C.M. and McMeeking, R.M.: A constitutive model for ferroelectric polycrystals. J. Mech. Phys. Solids 47, 1663 (1999).CrossRefGoogle Scholar
15.Lynch, C.S.: The effect of uniaxial stress on the electro-mechanical response of 8/65/35 PLZT. Acta Mater. 44, 4137 (1996).CrossRefGoogle Scholar
16.Landis, C.M.: On the fracture toughness of ferroelastic materials. J. Mech. Phys. Solids 51, 1347 (2003).CrossRefGoogle Scholar
17.Landis, C.M.: On the fracture toughness anisotropy of mechanically poled ferroelectric ceramics. Int. J. Fract. 126, 1 (2004).CrossRefGoogle Scholar
18.Wang, J. and Landis, C.M.: On the fracture toughness of ferroelectric ceramics with electric field applied parallel to the crack front. Acta Mater. 52, 3435 (2004).CrossRefGoogle Scholar
19.Landis, C.M.: In-plane complex potentials for a special class of materials with degenerate piezoelectric properties. Int. J. Solids Struct. 41, 695 (2004).CrossRefGoogle Scholar
20.Hutchinson, J.W. “A course on nonlinear fracture mechanics,” Harvard University Report, DEAP S-8, Division of Applied Sciences (Harvard University, Cambridge, MA, 1974).Google Scholar
21.Landis, C.M.: A new finite-element formulation for electromechanical boundary value problems. Int. J. Numer. Meth. Eng. 55, 613 (2002).CrossRefGoogle Scholar
22.Li, F.Z., Shih, C.F. and Needleman, A.: Comparison of methods for calculating energy release rates. Eng. Fract. Mech. 21, 405 (1985).CrossRefGoogle Scholar
23.Landis, C.M.: Energetically consistent boundary conditions for electromechanical fracture. Int. J. Solids Struct. 41, 6291 (2004).CrossRefGoogle Scholar