Calibration of material parameters based on 180∘ and 90∘ ferroelectric domain wall properties in Ginzburg–Landau–Devonshire phase field models.
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| Title: | Calibration of material parameters based on 180∘ and 90∘ ferroelectric domain wall properties in Ginzburg–Landau–Devonshire phase field models. |
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| Authors: | Flaschel, Moritz1 (AUTHOR) mflaschel@ethz.ch, De Lorenzis, Laura1 (AUTHOR) |
| Source: | Archive of Applied Mechanics. Dec2020, Vol. 90 Issue 12, p2755-2774. 20p. |
| Subjects: | Domain walls (String models), Phase transitions, Evolution equations, Calibration, Lattice dynamics |
| Abstract: | Ferroelectric phase field models based on the Ginzburg–Landau–Devonshire theory are characterized by a large number of material parameters with problematic physical interpretation. In this study, we systematically address the relationship between these parameters and the main properties of ferroelectric domain walls. A variational approach is used to derive closed form solutions for the polarization fields at the phase transition regions as well as for the propagation velocities of the domain walls. Introducing a modified set of material parameters, which appropriately scales different contributions to the free energy, we are able to accurately calibrate these parameters based on domain wall thickness and energy of both 180 ∘ and 90 ∘ domain walls. Moreover, the mobility parameter appearing in the Ginzburg–Landau evolution equation can be accurately calibrated based on the propagation velocity of the domain walls. [ABSTRACT FROM AUTHOR] |
| Copyright of Archive of Applied Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 146710710 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Calibration of material parameters based on 180∘ and 90∘ ferroelectric domain wall properties in Ginzburg–Landau–Devonshire phase field models. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Flaschel%2C+Moritz%22">Flaschel, Moritz</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mflaschel@ethz.ch</i><br /><searchLink fieldCode="AR" term="%22De+Lorenzis%2C+Laura%22">De Lorenzis, Laura</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Archive+of+Applied+Mechanics%22">Archive of Applied Mechanics</searchLink>. Dec2020, Vol. 90 Issue 12, p2755-2774. 20p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Domain+walls+%28String+models%29%22">Domain walls (String models)</searchLink><br /><searchLink fieldCode="DE" term="%22Phase+transitions%22">Phase transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Evolution+equations%22">Evolution equations</searchLink><br /><searchLink fieldCode="DE" term="%22Calibration%22">Calibration</searchLink><br /><searchLink fieldCode="DE" term="%22Lattice+dynamics%22">Lattice dynamics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Ferroelectric phase field models based on the Ginzburg–Landau–Devonshire theory are characterized by a large number of material parameters with problematic physical interpretation. In this study, we systematically address the relationship between these parameters and the main properties of ferroelectric domain walls. A variational approach is used to derive closed form solutions for the polarization fields at the phase transition regions as well as for the propagation velocities of the domain walls. Introducing a modified set of material parameters, which appropriately scales different contributions to the free energy, we are able to accurately calibrate these parameters based on domain wall thickness and energy of both 180 ∘ and 90 ∘ domain walls. Moreover, the mobility parameter appearing in the Ginzburg–Landau evolution equation can be accurately calibrated based on the propagation velocity of the domain walls. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Archive of Applied Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00419-020-01747-7 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 2755 Subjects: – SubjectFull: Domain walls (String models) Type: general – SubjectFull: Phase transitions Type: general – SubjectFull: Evolution equations Type: general – SubjectFull: Calibration Type: general – SubjectFull: Lattice dynamics Type: general Titles: – TitleFull: Calibration of material parameters based on 180∘ and 90∘ ferroelectric domain wall properties in Ginzburg–Landau–Devonshire phase field models. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Flaschel, Moritz – PersonEntity: Name: NameFull: De Lorenzis, Laura IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2020 Type: published Y: 2020 Identifiers: – Type: issn-print Value: 09391533 Numbering: – Type: volume Value: 90 – Type: issue Value: 12 Titles: – TitleFull: Archive of Applied Mechanics Type: main |
| ResultId | 1 |
