Analysis of elastic strain and crystallographic texture in poled rhombohedral PZT ceramics

Hall, David A.; Steuwer, A.; Cherdhirunkorn, B.; Mori, T.; Withers, Philip J.

doi:10.1016/j.actamat.2006.02.043

Cited by 84 publications

(82 citation statements)

References 16 publications

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“…41 Following mechanical loading, the interactions between neighboring grains result in a strain incompatibility that can generate local residual stresses. Hall et al 42,43 have shown that this effect is present in both rhombohedral and tetragonal structured PZT compositions during electrical loading, although the magnitude of the local stress fields depends strongly on the anisotropy of the elastic coefficients of each phase. In addition, Jones et al 41 have estimated the overall contribution of non-ferroelastic remanent strain contributions to account for approximately 25% of the overall macroscopic remanent strain in a purely tetragonal PZT composition.…”

Section: Model Simulations and Discussionmentioning

confidence: 99%

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)O
Seo
¹
,
Franzbach
²
,
Koruza
³

et al. 2013
Phys. Rev. B
49
6
26
1
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Section: Model Simulations and Discussionmentioning

confidence: 99%

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)O
Seo
¹
,
Franzbach
²
,
Koruza
³

et al. 2013
Phys. Rev. B
49
6
26
1
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“…3,4 In recent years, diffraction techniques have been exploited as a means of evaluating the local lattice strain and domain switching behaviour of polycrystalline ferroelectric materials in response to external electric and/or mechanical loading. [3][4][5][6][7][8][9][10][11][12][13][14] These studies have shed new light on ferroelectric behaviour and enabled the origins of non-linearities to be characterised.…”

Section: Introductionmentioning

confidence: 99%

Revisiting the blocking force test on ferroelectric ceramics using high energy x-ray diffraction

Daniel

Hall

Koruza

et al. 2015

Journal of Applied Physics

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International audienceThe blocking force test is a standard test to characterise the properties of piezoelectric actuators. The aim of this study is to understand the various contributions to the macroscopic behaviour observed during this experiment that involves the intrinsic piezoelectric effect, ferroelectric domain switching, and internal stress development. For this purpose, a high energy diffraction experiment is performed in-situ during a blocking force test on a tetragonal lead zirconate titanate (PZT) ceramic (Pb 0.98 Ba 0.01 (Zr 0.51 Ti 0.49) 0.98 Nb 0.02 O 3). It is shown that the usual macroscopic linear interpretation of the test can also be performed at the single crystal scale, allowing the identification of local apparent piezoelectric and elastic properties. It is also shown that despite this apparent linearity, the blocking force test involves significant non-linear behaviour mostly due to domain switching under electric field and stress. Although affecting a limited volume fraction of the material, domain switching is responsible for a large part of the macroscopic strain and explains the high level of inter-and intra-granular stresses observed during the course of the experiment. The study shows that if apparent piezoelectric and elastic properties can be identified for PZT single crystals from blocking stress curves, they may be very different from the actual properties of polycrystalline materials due to the multiplicity of the physical mechanisms involved. These apparent properties can be used for macroscopic modelling purposes but should be considered with caution if a local analysis is aimed at

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“…In PZT, the strain primarily originates from non-180 domain switching which gives rise to a ferroelastic strain and a crystal lattice distortion associated with the intrinsic piezoelectric effect and the compliance strain. 11,14 In the case of BNT-6.25BT, a crystallographic phase transformation to a mixed rhombohedral and tetragonal structure also contributes to the macroscopic strain in addition to these mechanisms.…”

mentioning

confidence: 99%

“…Such a strain arises from both the intrinsic piezoelectric effect of that grain in its electric field environment and the compliance of the grain with other strain mechanisms in adjacent grains. 11,14 The magnitude of this compliance or intergranular coupling effect, as well as its influence on the macroscopic strain properties, is not thoroughly understood. It has also been demonstrated that the magnitude of the electric-field-induced strain response in phase change piezoelectric ceramics is highly heterogeneous at the grain scale, 15 adding further evidence to the importance of understanding the coupling of properties between grains.…”

mentioning

confidence: 99%

The effect of inter-granular constraints on the response of polycrystalline piezoelectric ceramics at the surface and in the bulk

Hossain

Wang

Khansur

et al. 2016

Applied Physics Letters

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The electro-mechanical coupling mechanisms in polycrystalline ferroelectric materials, including a soft PbZrxTi1−xO3 (PZT) and lead-free 0.9375(Bi1/2Na1/2)TiO3-0.0625BaTiO3 (BNT-6.25BT), have been studied using a surface sensitive low-energy (12.4 keV) and bulk sensitive high-energy (73 keV) synchrotron X-ray diffraction with in situ electric fields. The results show that for tetragonal PZT at a maximum electric field of 2.8 kV/mm, the electric-field-induced lattice strain (ε111) is 20% higher at the surface than in the bulk, and non-180° ferroelectric domain texture (as indicated by the intensity ratio I002/I200) is 16% higher at the surface. In the case of BNT-6.25BT, which is pseudo-cubic up to fields of 2 kV/mm, lattice strains, ε111 and ε200, are 15% and 20% higher at the surface, while in the mixed tetragonal and rhombohedral phases at 5 kV/mm, the domain texture indicated by the intensity ratio, I111/I111¯ and I002/I200, are 12% and 10% higher at the surface than in the bulk, respectively. The observed difference in the strain contributions between the surface and bulk is suggested to result from the fact that surface grains are not constrained in three dimensions, and consequently, domain reorientation and lattice expansion in surface grains are promoted. It is suggested that the magnitude of property difference between the surface and bulk is higher for the PZT than for BNT-6.25BT due to the level of anisotropy in the strain mechanism. The comparison of the results from different methods demonstrates that the intergranular constraints have a significant influence on the electric-field-induced electro-mechanical responses in polycrystalline ferroelectrics. These results have implications for the design of higher performance polycrystalline piezoelectrics.

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Analysis of elastic strain and crystallographic texture in poled rhombohedral PZT ceramics

Cited by 84 publications

References 16 publications

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)O
Seo
¹
,
Franzbach
²
,
Koruza
³

et al. 2013
Phys. Rev. B
49
6
26
1
View full text Add to dashboard Cite

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)O
Seo
¹
,
Franzbach
²
,
Koruza
³

et al. 2013
Phys. Rev. B
49
6
26
1
View full text Add to dashboard Cite

Revisiting the blocking force test on ferroelectric ceramics using high energy x-ray diffraction

The effect of inter-granular constraints on the response of polycrystalline piezoelectric ceramics at the surface and in the bulk

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Analysis of elastic strain and crystallographic texture in poled rhombohedral PZT ceramics

Cited by 84 publications

References 16 publications

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)OSeo1, Franzbach2, Koruza3 et al. 2013Phys. Rev. B496261View full textAdd to dashboardCite

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)OSeo1, Franzbach2, Koruza3 et al. 2013Phys. Rev. B496261View full textAdd to dashboardCite

Revisiting the blocking force test on ferroelectric ceramics using high energy x-ray diffraction

The effect of inter-granular constraints on the response of polycrystalline piezoelectric ceramics at the surface and in the bulk

Contact Info

Product

Resources

About

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)O
Seo
¹
,
Franzbach
²
,
Koruza
³

et al. 2013
Phys. Rev. B
49
6
26
1
View full text Add to dashboard Cite

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)O
Seo
¹
,
Franzbach
²
,
Koruza
³

et al. 2013
Phys. Rev. B
49
6
26
1
View full text Add to dashboard Cite