Ferroelectric and ferroelastic piezoceramics – modeling of electromechanical hysteresis phenomena

Kamlah, Marc

doi:10.1007/s001610100052

Cited by 355 publications

(303 citation statements)

References 84 publications

Supporting

Mentioning

298

Contrasting

Unclassified

Order By: Relevance

“…A summary of the recent developments on micro-electromechanical and phenomenological constitutive modeling of ferroelectrics can be found in Kamlah [13] and Landis [14]. The phenomenological constitutive model used for these fracture calculations is based on the work of Landis and co-workers [15][16][17].…”

Section: Constitutive Modelmentioning

confidence: 99%

On the fracture toughness of ferroelectric ceramics with electric field applied parallel to the crack front

Wang

Landis

2004

Acta Materialia

View full text Add to dashboard Cite

Mode I steady crack growth is analyzed to determine the toughening due to domain switching in ferroelectric ceramics with electric field applied parallel to the crack front. 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 electric field on the fracture toughness of both initially unpoled and poled materials are investigated. Results for the predicted fracture toughness, remanent strain and remanent polarization distributions, and domain switching zone shapes and sizes are presented. The effects of the plane-strain constraint are also established. Finally, the model predictions are discussed in comparison to recent experimental observations.

show abstract

Section: Constitutive Modelmentioning

confidence: 99%

On the fracture toughness of ferroelectric ceramics with electric field applied parallel to the crack front

Wang

Landis

2004

Acta Materialia

View full text Add to dashboard Cite

show abstract

“…Based on earlier work, such as for example [10], the phenomenological model with which the laminate-based approach is compared in this work is that of [1]. In this model, the only internal variable is the polarization p, i.e., ν = 0.…”

Section: Phenomenological Modelmentioning

confidence: 99%

“…Models for switching behavior of ferroelectrics include phase-field models [3][4][5][6][7], phenomenological models [1,[8][9][10][11][12], and micromechanical models [13][14][15][16][17][18][19]. Of particular interest in the latter class are so-called laminate-based approaches [2,[20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Comparison of phenomenological and laminate‐based models for rate‐dependent switching in ferroelectric continua

2015

View full text Add to dashboard Cite

MSC (2000) 74A20, 74A60, 74F15, 74N15The purpose of the current work is the comparison of a phenomenological and a laminatebased model for rate-dependent switching in ferroelectric single crystals. To this end, the phenomenological model formulation of [1] is considered. In this model, the polarization vector is treated as an internal variable. The evolution of the polarization determines the remanent strain; dependence of energy storage on its direction results in generally transverse isotropic material behavior. This is compared here with a laminate-based model in which the volume fractions of ferroelectric variants are treated as internal variables. The evolution of these volume fractions determines in turn the remanent strain and polarization as volume averages of corresponding ferroelectric variant quantities. Besides a comparison of the respective model formulations, the phenomenological and laminate models are compared in the context of numerical simulation examples. It turns out that both modeling frameworks nicely recapture the underlying dissipative and rate-dependent effects, which is represented by means of simulated butterfly curves and hysteresis loops under homogeneous loading conditions as well as by finite element simulations.

show abstract

“…There are different approaches in modelling these nonlinear effects, each more or less suitable to characterise the different dependencies of the ceramics behaviour. Energetically motivated modelling of microscopic switching processes leads to complex models with a high number of internal variables and therefore to costly calculations [1]. A phenomenological model introduced in [1] is able to reproduce the basic hysteretic phenomena including switching effects and mechanical depolaristaion using a small number of variables.…”

Section: Introductionmentioning

confidence: 99%

“…Energetically motivated modelling of microscopic switching processes leads to complex models with a high number of internal variables and therefore to costly calculations [1]. A phenomenological model introduced in [1] is able to reproduce the basic hysteretic phenomena including switching effects and mechanical depolaristaion using a small number of variables. This model is therefore suitable for engineering analysis of active mechanical structures.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Numerical Investigation of Nonlinear Piezoelectric Effects Including Minor Hystereses

Bossong

Schmidt

2010

Proc Appl Math and Mech

View full text Add to dashboard Cite

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.

show abstract

Ferroelectric and ferroelastic piezoceramics – modeling of electromechanical hysteresis phenomena

Cited by 355 publications

References 84 publications

On the fracture toughness of ferroelectric ceramics with electric field applied parallel to the crack front

On the fracture toughness of ferroelectric ceramics with electric field applied parallel to the crack front

Comparison of phenomenological and laminate‐based models for rate‐dependent switching in ferroelectric continua

Experimental and Numerical Investigation of Nonlinear Piezoelectric Effects Including Minor Hystereses

Contact Info

Product

Resources

About