Continuum damage model for ferroelectric materials and its application to multilayer actuators

While piezoelectric energy harvesting typically focuses on converting mechanical into electrical energy on the basis of the linear reversible piezoelectric effect, the potential of exploiting the non-linear ferroelectric effect is investigated theoretically in this paper. Due to its dissipative nature, domain switching, on the one hand, is basically avoided in order to prevent mechanical energy from being converted into heat. However, the electrical output, on the other hand, is augmented due to the increased change of electric displacement. In view of these conflicting issues, one main objective in ferroelectric energy harvesting thus is to identify mechanical and electrical process parameters providing appropriate figures of merit. Being an efficient approach to numerically simulate multiphysical polycrystalline material behavior, the so-called condensed method is taken as a basis for the investigation and finally optimization of controllable parameters of ferroelectric energy harvesting cycles. A first idea of a technical implementation taken from literature is considered as cycle of reference, constituting the starting point of the present study, being focused on material aspects rather than on harvesting devices. Different quality assessing parameters are introduced, taking into account general aspects of harvesting efficiency as well as the ratio of irreversible switching-related to reversible piezoelectric contributions. Residual stresses are likewise predicted to give an idea of reliability and the risk of fracture. Two types of cycles and associated optimal process parameters are finally presented.

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“…, N}. Bridging the levels of domain and grain, the weighted sums of material properties φ (n) of all domains are introduced [24] according to…”

Section: Microphysical Model Of Ferroelectric Domain Switchingmentioning

confidence: 99%

“…is the change of spontaneous polarization for transition from domain species (A) to species (B) [24]. In equation ( 21) only negative rates ν(n) are considered, corresponding to donating and decreased domain species, respectively.…”

Section: Microphysical Model Of Ferroelectric Domain Switchingmentioning

confidence: 99%

Exploiting ferroelectric and ferroelastic effects in piezoelectric energy harvesting: theoretical studies and parameter optimization

Behlen

Warkentin

Ricoeur

2021

Smart Mater. Struct.

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“…Allowing for unconstrained switching within in the limits of equation (5) gives rise to an overestimation of the irreversible contributions ε kl irr and P i irr . In Gellmann and Ricoeur (2016) or Lange and Ricoeur (2015) two additional parameters have been introduced in the constitutive equations to face this deficiency and eventually meet experimental results. Within FE-frameworks it was further required for numerical stability.…”

Section: Constitutive Framework Of a Ferroelectric Grainmentioning

confidence: 99%

Multiscale modeling of ferroelectrics with stochastic grain size distribution

Lange

Ricoeur

2021

Journal of Intelligent Material Systems and Structures

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Macroscopic properties of ferroelectrics are controlled by processes on the microscale, in particular the switching of crystal unit cells and the movement of domain walls, respectively. Besides these microscopic levels, the grains of a polycrystalline material constitute the mesoscopic scale. Interactions of grains with statistically distributed orientations, as a consequence of mechanical and electrostatic mismatch, give rise to for example, residual stress which in turn affects domain switching. A multiscale modeling thus has to incorporate at least three interacting scales. In this context, the condensed method has recently been elaborated as an efficient tool with low computational cost and effort of implementation. It is extended toward statistical distributions of grain sizes in a representative material volume element and amended with regard to the modeling of domain evolution. Each of the few parameters of the constitutive approach has a unique physical meaning and is adapted to available experimental values of macroscopic quantities of barium titanate taken from various sources.

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“…Ferroelectric (FE) materials are of great interest due to their broad range of next-generation which perhaps can be used in technological applications. FE materials have already been used in memory and storage devices [1][2][3][4][5] and are now being explored as components in sensors, actuators, and battery-related technologies [6][7][8]. FE functionalities and these FE functionalities involve composite creations that consist of small FE nanoparticles diffused in a dielectric matrix.…”

Section: Introductionmentioning

confidence: 99%

Size, Shape, and Material Effects in Ferroelectric Octahedral Nanoparticles

Zhu

Yan

Tian

et al. 2021

Journal of Nanomaterials

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Composite materials composed of multiferroelectric nanoparticles in dielectric matrixes have attracted enormous attention for their potential applications in developing future functional devices. However, the functionalities of ferroelectric nanoparticles depend on shapes, sizes, and materials. In this paper, a time-dependent Landau-Ginzburg method has been used and combined with a method as the coupled-physics finite-element-method-based simulations are used to illustrate the polarization behavior in isolated BaTiO3 or PbTiO3 octahedral nanoparticles embedded in a dielectric medium, like SrTiO3 (ST, high dielectric permittivity) and amorphous silica (a-SiO2, low dielectric permittivity). The equilibrium polarization topology of the octahedral nanoparticle is strongly affected by the choice of inclusion and the size of matrix materials. Also, there are three equilibrium polarization patterns, i.e., monodomain, vortex-like, and multidomain, because of the various sizes and material parameters combination. There is a critical particle size below which ferroelectricity vanishes in our calculations. This size of the PbTiO3 octahedral nanoparticle is 2.5 and 3.6 nm for high- and low-permittivity matrix materials, respectively. However, this size of the BaTiO3 octahedral nanoparticle is 3.6 nm regardless of the matrix materials.

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Continuum damage model for ferroelectric materials and its application to multilayer actuators

Cited by 11 publications

References 35 publications

Exploiting ferroelectric and ferroelastic effects in piezoelectric energy harvesting: theoretical studies and parameter optimization

Exploiting ferroelectric and ferroelastic effects in piezoelectric energy harvesting: theoretical studies and parameter optimization

Multiscale modeling of ferroelectrics with stochastic grain size distribution

Size, Shape, and Material Effects in Ferroelectric Octahedral Nanoparticles

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