Laminate-based modelling of single and polycrystalline ferroelectric materials – application to tetragonal barium titanate

Dusthakar, Dinesh Kumar; Menzel, Andreas; Svendsen, Bob

doi:10.1016/j.mechmat.2017.10.005

Cited by 8 publications

(6 citation statements)

References 78 publications

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“…In its formula, the volume fractions of different ferroelectric variants are directly considered, and the model based on single crystal laminates is established by considering the average strain and polarization compatibility conditions. Assume appropriate thermodynamic Gibbs electrical energy and rate-dependent dissipation equations to capture the response of dissipative hysteresis materials [12]. Arif and Faraz demonstrated the potential of single-phase Yb 2 NiMnO 6 as a multiferroic two-dimensional material.…”

Section: Introductionmentioning

confidence: 99%

Performance of Ferroelectric Materials in the Construction of Smart Manufacturing for the New Infrastructure of Smart Cities

Zhou

Yan

2022

Advances in Materials Science and Engineering

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Smart city construction is the inevitable product of scientific development and transformation of life by building digital cities, building the Internet of Things, and making city management systems simple and intelligent through cloud computing. Smart city is a new generation information technology. Make full use of the advanced form of urban informatization based on the next generation innovation of knowledge society in all walks of life in the city. Cloud computing is a new network application concept. The core concept of cloud computing is to take the Internet as the center, and provide fast and secure cloud computing services and data storage on the website, so that everyone who uses the Internet can use the huge computing resources and data center on the network. The role of smart city engineering infrastructure is to build the infrastructure of this platform, so that smart cities can operate effectively, such as deformation test of ferroelectric materials, particle suitability analysis of ferroelectric materials, etc., This research is oriented to the intelligent manufacturing of new infrastructures in smart cities and analyzes the performance of ferroelectric materials in construction, aiming to better grasp the performance of ferroelectric materials and provide constructive suggestions for smart manufacturing in smart cities. The article first understands and states the related concepts, related construction requirements, development status and problems that need to be solved for smart city smart manufacturing by consulting relevant materials; then, it discusses the ferroelectric materials involved in the construction, analyzes the data of piezoelectric properties, etc., which will help to give more clear guidance on the process of tooling design; finally, the application link of ferroelectric materials is tested, and the deformation of ferroelectric materials and this premise are discussed on the problem of intelligent manufacturing efficiency and intelligent manufacturing efficiency. The experimental results show that the maximum value in the group of smart manufacturing benefits is 559.37; the maximum value between groups is 172.35. For efficiency of smart manufacturing, the maximum value between groups reaches 187.07; the maximum value in groups is 286.35. Whether it is a significant analysis of smart manufacturing benefits or smart manufacturing efficiency, the experimental results are quite impressive.

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Section: Introductionmentioning

confidence: 99%

Performance of Ferroelectric Materials in the Construction of Smart Manufacturing for the New Infrastructure of Smart Cities

Zhou

Yan

2022

Advances in Materials Science and Engineering

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“…, n v −1, cf. [3,4]. For this material model, the following Gibbs energy function H was introduced, including a fully electro-mechanically coupled piezoelectric and a remanent contribution…”

Section: Laminate-based Materials Model For Ferroelectric Materialsmentioning

confidence: 99%

“…phase field or level set methods are required. In the following, a laminate-based material model, assigned to the second type of model and implemented by [3,4], is applied to ferroelectrics. The usage of laminate fractions as internal variables, to identify the evolving polarised crystal structure, includes the requirement for additional constraints.…”

Section: Introductionmentioning

confidence: 99%

Investigations on different Fischer‐Burmeister functions applied to the modelling of ferroelectrics

Schulte

Bartel

Menzel

et al. 2018

Proc Appl Math and Mech

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Different selected approaches of Fischer-Burmeister (FB) nonlinear complementarity problem (NCP) functions are investigated towards the local convergence properties and the possible parameter influences. The Fischer-Burmeister functions are applied to a micromechanically motivated material model for ferroelectric materials. The particular model employed is a laminate-based modelling approach to simulate the single-and polycrystalline tetragonal ferroelectric material behaviour. In this model, the occurring variant fractions are characterised via laminate fractions with additional inequality constraints. To solve the complementarity conditions of these internal variables, the FB approach provides a very efficient scheme compared to common solution schemes as, e.g. active-set strategies.

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“…The domain pattern in a single crystal usually has a laminate structure of periodically alternating domains [57]. Laminate-based micromechanical models [17,[58][59][60][61][62][63][64][65][66][67] attempt to account for the spatial distribution of domains more accurately. Such models are based on the theory of mixtures and are aimed at studying the structure of domains and their evolution under the influence of external electromechanical loads.…”

Section: Introductionmentioning

confidence: 99%

Finite-Element Modeling of the Hysteresis Behavior of Tetragonal and Rhombohedral Polydomain Ferroelectroelastic Structures

Lobanov

Семенов

2023

Materials

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The influence of the domain structure's initial topology and its evolution on the hysteresis curves of tetragonal and rhombohedral polydomain structures of ferroelectroelastic materials is studied. Based on the analysis of electrical and mechanical compatibility conditions, all possible variants of representative volume elements of tetragonal and rhombohedral second-rank-domain laminate structures were obtained and used in simulations. Considerable local inhomogeneity of stress and electric fields within the representative volume, as well as domain interaction, necessitates the use of numerical methods. Hysteresis curves for laminated domain patterns of the second rank were obtained using finite-element homogenization. The vector-potential finite-element formulation as the most effective method was used for solving nonlinear coupled boundary value problems of ferroelectroelasticity. A significant anisotropy of the hysteresis properties of domain structures was established both within individual phases and when comparing the tetragonal and rhombohedral phases. The proposed approach describes the effects of domain hardening and unloading nonlinearity.

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Laminate-based modelling of single and polycrystalline ferroelectric materials – application to tetragonal barium titanate

Cited by 8 publications

References 78 publications

Performance of Ferroelectric Materials in the Construction of Smart Manufacturing for the New Infrastructure of Smart Cities

Performance of Ferroelectric Materials in the Construction of Smart Manufacturing for the New Infrastructure of Smart Cities

Investigations on different Fischer‐Burmeister functions applied to the modelling of ferroelectrics

Finite-Element Modeling of the Hysteresis Behavior of Tetragonal and Rhombohedral Polydomain Ferroelectroelastic Structures

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