Modelling of the ferroic material behaviour of piezoelectrics: Characterisation of temperature-sensitive functional properties

Grünbichler, Hannes; Kreith, Josef; Bermejo, Raúl; Supancic, Peter; Dänzer, Robert

doi:10.1016/j.jeurceramsoc.2009.04.033

Cited by 21 publications

(11 citation statements)

References 9 publications

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“…The coercive stress was determined as the point of inflection in the stress-strain curve during initial loading 13,17,41 and plotted in Fig. 4 as a function of the c/a ratio.…”

Section: Resultsmentioning

confidence: 99%

“…The coercive stress was determined by taking the inflection point of the loading portion of the stress-strain curve, analogous to the poling electric field. 13,17,41,42 The mechanically dissipated energy, G M , during a mechanical loading cycle can be obtained by integrating the loading and unloading paths to determine the area within the stress-strain curve (Fig. 1).…”

Section: Methodsmentioning

confidence: 99%

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Domain switching energies: Mechanical versus electrical loading in La-doped bismuth ferrite–lead titanate

Leist

Webber

et al. 2011

Journal of Applied Physics

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Articles you may be interested inEffect of tetragonal distortion on ferroelectric domain switching: A case study on La-doped BiFeO 3 -PbTiO 3 ceramics J. Appl. Phys. 108, 014103 (2010) The mechanical stress-induced domain switching and energy dissipation in morphotropic phase boundary (1Àx)(Bi 1 À y La y )FeO 3 -xPbTiO 3 during uniaxial compressive loading have been investigated at three different temperatures. The strain obtained was found to decrease with increasing lanthanum content, although a sharp increase in strain was observed for compositions doped with 7.5 and 10 at. % La. Increased domain switching was found in compositions with decreased tetragonality. This is discussed in terms of the competing influences of the amount of domain switching and the spontaneous strain on the macroscopic behavior under external fields. Comparison of the mechanically and electrically dissipated energy showed significant differences, discussed in terms of the different microscopic interactions of electric field and stress.

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“…The coercive stress was determined as the point of inflection in the stress-strain curve during initial loading 13,17,41 and plotted in Fig. 4 as a function of the c/a ratio.…”

Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Domain switching energies: Mechanical versus electrical loading in La-doped bismuth ferrite–lead titanate

Leist

Webber

et al. 2011

Journal of Applied Physics

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“…In the second step the tip displacement of an active structure consisting of a steel substructure with a thickness t s = 0.5mm, a bonding layer of thickness t b = 0.05mm and the piezoceramic (t p = 0.25mm) is predicted. The phenomenological model from [1,5] is used with the enhancement of [4], which is the introduction of a kinematic hardenig function c e replacing the hardening constant in the ferroelectric yield condition:…”

Section: Modellingmentioning

confidence: 99%

“…The Preisach model in [3] is able to reproduce the minor loops of a free actuator, but there is still a lack considering ferroelastic effects appearing in an active structure. In this work the phenomenological model introduced in [1] is used in a slightly modified form [4] to verify the electric fieldstrain behaviour of a free and an embedded actuator gained from experiments. The constitutive model is used with a structural plate model to show the capability of predicting the true behaviour of a real structure.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Numerical Investigation of Nonlinear Piezoelectric Effects Including Minor Hystereses

Bossong

Schmidt

2010

Proc Appl Math and Mech

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Piezoelectric ceramics are often used in active structures for shape and vibration control. Since the operation range is not limited to small signals the nonlinear behaviour of the actuator under high electric loads has to be known. There are several approaches in literature to model the hysteretic effects, each having its assets and drawbacks. When a model is able to reproduce the minor loops of the strain -electric field hysteresis, it often lacks the consideration of stress dependence which is fundamental for actuators attached to elastic structures. On the other hand constitutive models which take into account all ferroelectric and ferroelastic effects are not capable of representing the minor hystereses in acceptable calculation times. In this work a phenomenological constitutive model is verified using the experimental data of an active plate structure. Therefore, the ceramic is characterised under mechanically unconstrained conditions and afterwards attached onto a steel plate. The bonding to the substructure leads to a mechanical stress depending on the actuation state of the ceramic.

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“…Yimnirun et al 6) proposed temperature scaling laws for hysteresis responses of soft lead zirconate titanate bulk ceramic by fitting observed temperature-dependence of hysteresis area, remnant polarization, and coercive field. Grunbichler et al 7) used the concept of plasticity to develop a constitutive law for nonlinear behavior of ferroelectric ceramics and calculated the hysteresis and butterfly responses of the materials at ambient temperature. A temperature-dependent twostep domain-switching model is proposed by Senousy et al, 8) where domain switching occurs at a critical value of energy barrier.…”

Section: Introductionmentioning

confidence: 99%

Prediction of high temperature behavior of ferroelectric ceramics with state dependent thermal moduli

Kim

2015

J. Ceram. Soc. Japan

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A poled lead titanate zirconate rectangular parallelepiped is subjected to an electric field at a room temperature called reference temperature to reach a specific value of polarization. Then the temperature of specimen is raised at the specific value of polarization under no electric field, measuring polarization and strain changes in the specimen. Pyroelectric and thermal expansion coefficients are estimated from measured responses. A set of modeling equations is proposed to predict the dependence of the thermal moduli on remnant state variables and the relations between remnant state variables at high temperatures.

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Modelling of the ferroic material behaviour of piezoelectrics: Characterisation of temperature-sensitive functional properties

Cited by 21 publications

References 9 publications

Domain switching energies: Mechanical versus electrical loading in La-doped bismuth ferrite–lead titanate

Domain switching energies: Mechanical versus electrical loading in La-doped bismuth ferrite–lead titanate

Experimental and Numerical Investigation of Nonlinear Piezoelectric Effects Including Minor Hystereses

Prediction of high temperature behavior of ferroelectric ceramics with state dependent thermal moduli

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