Study of an Alternative Phase Field Model for Low Interfacial Energy in Elastic Solids
In 2005, the hybrid model was published by Prof. H.-D. Alber and Prof. P. Zhu as an alternative to the Allen-Cahn model for the description of phase field transformations. With low interfacial energy, it is more efficient, since the resolution of the diffuse interface is numerically broader for the...
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| Formato: | Libro |
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Logos Verlag Berlin
2021
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=nlebk&AN=3541221&site=ehost-live header: @attributes: shortDbName: nlebk uiTerm: 3541221 longDbName: eBook Collection (EBSCOhost) uiTag: AN controlInfo: bkinfo: btl: Study of an Alternative Phase Field Model for Low Interfacial Energy in Elastic Solids aug: au: Anke Böttcher isbn: 9783832553371 imageinfo: pubinfo: dt: @attributes: year: 2021 month: 01 day: 01 dtAvail: @attributes: year: 2023 month: 04 day: 04 pub: Logos Verlag Berlin pubContract: Logos Verlag Berlin GmbH place: [s.l.] price: 0.01 limitsGroup: maxCheckoutDays: 1500 pda: N printPagesOffline: 100 printPagesOnline: 100 previewPages: 10000 prePubGroup: dewey: @attributes: class: 510 item: 510 lc: @attributes: class: Internet Access AEU item: In ternet Access AEU artinfo: ui: 3541221 1296711993 formats: fmt: @attributes: type: EB doid: NL$3541221$PDF caption: PDF download: Y tig: atl: Study of an Alternative Phase Field Model for Low Interfacial Energy in Elastic Solids ptl: Study of an Alternative Phase Field Model for Low Interfacial Energy in Elastic Solids aug: au: Anke Böttcher su: Science sug: subj: MATHEMATICS / General SCIENCE / General SCIENCE / Chemistry / General SCIENCE / Physics / General Science ab: In 2005, the hybrid model was published by Prof. H.-D. Alber and Prof. P. Zhu as an alternative to the Allen-Cahn model for the description of phase field transformations. With low interfacial energy, it is more efficient, since the resolution of the diffuse interface is numerically broader for the same solution accuracy and allows coarser meshing. The solutions of both models are associated with energy minimisation and in this work the error terms introduced in the earlier publications are discussed and documented using one and two dimensional numerical simulations. In the last part of this book, phase field problems, initially not coupled with material equations, are combined with linear elasticity and, after simple introductory examples, a growing martensitic inclusion is simulated and compared with literature data. In addition to the confirmed numerical advantage, another phenomenon not previously described in the literature is found: with the hybrid model, in contrast to the examples calculated with the Allen-Cahn model, an inclusion driven mainly by curvature energy does not disappear completely. The opposite problem prevents inclusions from growing from very small initial configurations, but this fact can be remedied by a very finely chosen diffuse interface width and by analysing and adjusting the terms that generate the modelling errors. The last example shows that the hybrid model can be used with numerical advantages despite the above mentioned peculiarities. pubtype: eBook doctype: Book ougenre: Book language: English copyright: @attributes: flag: N copyrightText: holdings: @attributes: islocal: N |
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