Unconventional domain band structure at the crack tip in ferroelectric ceramics

Yang, Wei; Wang, H.T.; Fang, Fei; Cui, Yuanqing

doi:10.1016/s0167-8442(01)00092-1

Cited by 5 publications

(5 citation statements)

References 14 publications

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“…(4) and (5) depict the evolution equation for ferro-elastic domain switching. Beside the correlation with exact solution by Yang et al (2001b), this piecewise linear relation also meets the experiment data of zirconia transformation by Marshall et al (1990). The mentioned experiment also supported the existence of a saturated region.…”

Section: Evolution Law Of Volume Fraction For Non-uniform Ferro-elastsupporting

confidence: 79%

“…Two questions have to be answered: when the switching is activated and how many of the domains will switch under the applied load. Yang et al (2001b) and Yang (2002) derived an expression for the system energy change, as described in detail in (A.1) of Appendix A, for a switched spherical grain with banded structure embedded in an otherwise infinite ferroelectric medium subjected to applied electromechanical loading. Generalizing (A.1) into arbitrary in-plane loading, one may convert the mechanical work for domain switching, elucidated in Eq.…”

Section: Evolution Law Of Volume Fraction For Non-uniform Ferro-elastmentioning

confidence: 99%

“…For a spherical grain with banded domain pattern constrained in an infinite matrix under remote electromechanical loading, the change in system energy due to banded domain switching is (Yang et al, 2001b)…”

Section: Appendix a System Energy Of A Switched Ferroelectric Grainmentioning

confidence: 99%

“…The barred quantities denote the remote loadings, such as E i denote the applied electric field, and r ij the applied stress field (i, j = 1, 2, 3). The spontaneous strain (c À a)/a = 0.01, the spontaneous polarization intensity P s = 0.26 C/m 2 , the dielectric constant e = 1900e 0 = 1.68 · 10 À8 F/m (Jaffe et al, 1971), the coherent domain wall energy C coh = 0.002 J/m 2 (Lines and Glass, 1979), the grain size D = 15 lm (Kolleck et al, 2000), and the function f ðV 90 Þ ¼ P 1 k¼1 sin 2 ðV 90 kpÞ=k 3 (Yang et al, 2001b).…”

Section: Appendix a System Energy Of A Switched Ferroelectric Grainmentioning

confidence: 99%

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Toughening under non-uniform ferro-elastic domain switching

Cui

Yang

2006

International Journal of Solids and Structures

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The existing models of switch-toughening seldom consider the effect of non-uniform ferro-elastic domain switching in the vicinity of a crack. To explore this issue, an evolution law for the volume fraction of the switched portion under applied electromechanical loading is established from the minimum energy principle. Based on this law, a switching model capable of dealing with the non-uniform distribution of switching strain is developed. The domain switching zone is divided into a saturated inner core and an active surrounding annulus. Mono-domain solution of ferro-elastic toughening is obtained under the model of small scale domain switching. Toughening for ferroelectrics with different poling states is estimated via Reuss type approximation. Two sets of solutions are obtained according to spherical and cylindrical inclusions. The interval of toughening defined by these two models covers the range of experimental data. The same conclusion is reached for the size of the switching zone.

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Section: Evolution Law Of Volume Fraction For Non-uniform Ferro-elastsupporting

confidence: 79%

Section: Evolution Law Of Volume Fraction For Non-uniform Ferro-elastmentioning

confidence: 99%

Section: Appendix a System Energy Of A Switched Ferroelectric Grainmentioning

confidence: 99%

Section: Appendix a System Energy Of A Switched Ferroelectric Grainmentioning

confidence: 99%

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Toughening under non-uniform ferro-elastic domain switching

Cui

Yang

2006

International Journal of Solids and Structures

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“…For non-uniform domain switching, two questions have to be answered: when the switching is activated and how many of the domains will switch under the applied load. An expression of system energy change was derived for a switched spherical grain with banded structure embedded in an otherwise infinite ferroelectric medium subjected to applied electromechanical loading [21].…”

Section: Toughening Of Steady-state Crack Growth Under Mechanical Loa...mentioning

confidence: 99%

Interplay between Fracture and Domain Switching of Ferroelectrics

Cui

Yang

2006

KEM

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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.

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In situ observation of electric-field-induced domain switching and crack propagation in poled PMNT62/38 single crystals

Jiang

Fang

2007

Materials Letters

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Unconventional domain band structure at the crack tip in ferroelectric ceramics

Cited by 5 publications

References 14 publications

Toughening under non-uniform ferro-elastic domain switching

Toughening under non-uniform ferro-elastic domain switching

Interplay between Fracture and Domain Switching of Ferroelectrics

In situ observation of electric-field-induced domain switching and crack propagation in poled PMNT62/38 single crystals

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