Finite-element modelling of ferroic domain switching in piezoelectric ceramics

Steinkopff, Th.

doi:10.1016/s0955-2219(98)00413-0

Cited by 40 publications

(15 citation statements)

References 9 publications

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“…(20) have been used within several models reported in the literature (see, among others, the contributions [12,35]). Conceptually speaking, the ferroelectric crystal exhibits reversible responses without any change in its microscopic state until the driving force reaches any of the critical values so that the underlying volume fractions of crystal variants remain unaltered.…”

Section: Model Formulationmentioning

confidence: 99%

“…ξ (n) → ξ (n) + ξ (n) as referred to the time or rather load interval t > 0-can be determined by making use of Eqs. (19) and (20). To be specific, the update of a crystal variant n according to the (m, n) transformation system is represented by…”

Section: Model Formulationmentioning

confidence: 99%

“…Alternative modelling concepts, however, incorporated such interactions present in crystalline materials by means of the so-called Eshelby inclusion method in order to provide a mean field estimate of the effective response [15][16][17][18]. Intergranular effects are explicitly considered in several models in terms of related finite element formulations [19][20][21][22][23][24][25]. The local and average energy release during domain switching in ferroelectrics are rigorously derived in [26] with application to advanced polarisation switching models.…”

Section: Introductionmentioning

confidence: 99%

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Micromechanical modelling of switching phenomena in polycrystalline piezoceramics: application of a polygonal finite element approach

et al. 2011

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A micromechanically motivated model is proposed to capture nonlinear effects and switching phenomena present in ferroelectric polycrystalline materials. The changing remnant state of the ferroelectric crystal is accounted for by means of so-called back fields-such as back stressesto resist or assist further switching processes in the crystal depending on the local loading history. To model intergranular effects present in ferroelectric polycrystals, the computational model elaborated is embedded into a mixed polygonal finite element approach, whereby an individual ferroelectric grain is represented by one single irregular polygonal finite element. This computationally efficient coupled simulation framework is shown to reproduce the specific characteristics of the responses of ferroelectric polycrystals under complex electromechanical loading conditions in good agreement with experimental observations.

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Section: Model Formulationmentioning

confidence: 99%

Section: Model Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Micromechanical modelling of switching phenomena in polycrystalline piezoceramics: application of a polygonal finite element approach

et al. 2011

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“…Although there are many criteria that can be used to predict polarization switching in piezoelectric materials, we choose the switching criterion proposed in [Hwang et al 1995]. This is due to the fact that the model is simple and quite successful at predicting the homogeneous average response of PZT material systems [Steinkopff 1999;Hayashi et al 2003]. In this model, the direction of a spontaneous polarization P s of each grain can change by 90 • or 180 • for ferroelectric switching induced by a sufficiently large electric field.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear electromechanical fields and localized polarization switching of piezoelectric macrofiber composites

Shindo¹,

Narita²,

Sato

et al. 2011

J. Mech. Mater. Struct.

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This paper examines theoretically and experimentally the nonlinear electromechanical response of piezoelectric macrofiber composites. 3D finite element analysis was carried out to study the strain versus electric field curve and the internal electromechanical fields near interdigitated electrodes in the macrofiber composites by introducing a model for polarization switching. The piezoelectric fibers in the macrofiber composite are partially or fully poled. Results on the strain versus electric field curves from microelectromechanical models and simple experiments were also presented, and comparison was made with the finite element solutions.

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“…Jiang [7], Sun and Chang [8] presented a non-linear ÿnite element technique for analysing piezoelectric materials. In the ÿnite-element model presented by Steinkop [10], the typical behaviour of ferroelastic, ferroelectric, and piezoelectric materials has been simulated.…”

Section: Introductionmentioning

confidence: 99%

Fully coupled non‐linear analysis of piezoelectric solids involving domain switching

Zeng¹,

Manzari²,

Lee³

et al. 2002

Numerical Meth Engineering

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SUMMARYDomain switching is the cause of signiÿcant non-linearity in the response of piezoelectric materials to mechanical and electrical e ects. In this paper, the response of piezoelectric solids is formulated by coupling thermal, electrical, and mechanical e ects. The constitutive equations are non-linear. Moreover, due to the domain switching phenomenon, the resulting governing equations become highly non-linear. The corresponding non-linear ÿnite element equations are derived and solved by using an incremental technique. The developed formulation is ÿrst veriÿed against a number of benchmark problems for which a closed-form solution exists. Next, a cantilever beam made of PZT-4 is studied to evaluate the e ect of domain switching on the overall force-displacement response of the beam. A number of interesting observations are made with respect to the extent of non-linearity and its progressive spread as the load on the beam increases.

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Finite-element modelling of ferroic domain switching in piezoelectric ceramics

Cited by 40 publications

References 9 publications

Micromechanical modelling of switching phenomena in polycrystalline piezoceramics: application of a polygonal finite element approach

Micromechanical modelling of switching phenomena in polycrystalline piezoceramics: application of a polygonal finite element approach

Nonlinear electromechanical fields and localized polarization switching of piezoelectric macrofiber composites

Fully coupled non‐linear analysis of piezoelectric solids involving domain switching

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