Sangam: A Confluence of Knowledge Streams

Study of an alternative phase field model for low interfacial energy in elastic solids

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dc.creator Böttcher, Anke
dc.date 2022-01-21T04:02:37Z
dc.date 2022-01-21T04:02:37Z
dc.date 2022-01-20T05:31:35Z
dc.date 2021
dc.date.accessioned 2023-02-17T21:18:15Z
dc.date.available 2023-02-17T21:18:15Z
dc.identifier https://library.oapen.org/handle/20.500.12657/52509
dc.identifier https://directory.doabooks.org/handle/20.500.12854/77437
dc.identifier https://library.oapen.org/bitstream/20.500.12657/52509/1/external_content.pdf
dc.identifier https://library.oapen.org/bitstream/20.500.12657/52509/1/external_content.pdf
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/246074
dc.description 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.
dc.format image/jpeg
dc.format image/jpeg
dc.language eng
dc.publisher Logos Verlag Berlin
dc.publisher Logos Verlag Berlin
dc.rights open access
dc.subject Science
dc.subject Chemistry
dc.subject Mathematics
dc.subject Science
dc.subject Physics
dc.subject bic Book Industry Communication::P Mathematics & science::PN Chemistry
dc.subject bic Book Industry Communication::P Mathematics & science::PB Mathematics
dc.subject bic Book Industry Communication::P Mathematics & science::PH Physics
dc.title Study of an alternative phase field model for low interfacial energy in elastic solids
dc.resourceType book
dc.alternateIdentifier 9783832553371
dc.alternateIdentifier 9783832553371
dc.alternateIdentifier https://doi.org/10.30819/5337
dc.licenseCondition open access
dc.licenseCondition n/a
dc.licenseCondition n/a
dc.identifierdoi https://doi.org/10.30819/5337
dc.relationisPublishedBy 04b263a1-7fba-4491-9eae-1c394ac42fc3
dc.relationisbn 9783832553371
dc.relationisbn 9783832553371
dc.collection Knowledge Unlatched (KU)
dc.imprint Logos Verlag Berlin


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