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dc.contributor.authorBöttcher, Anke
dc.date.accessioned2022-01-21T04:02:37Z
dc.date.available2022-01-21T04:02:37Z
dc.date.issued2021
dc.date.submitted2022-01-20T05:31:35Z
dc.identifierhttps://library.oapen.org/handle/20.500.12657/52509
dc.identifier.urihttps://directory.doabooks.org/handle/20.500.12854/77437
dc.description.abstractIn 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.languageEnglish
dc.rightsopen access
dc.subject.classificationthema EDItEUR::P Mathematics and Science::PN Chemistryen_US
dc.subject.classificationthema EDItEUR::P Mathematics and Science::PB Mathematicsen_US
dc.subject.classificationthema EDItEUR::P Mathematics and Science::PH Physicsen_US
dc.subject.otherScience
dc.subject.otherChemistry
dc.subject.otherMathematics
dc.subject.otherScience
dc.subject.otherPhysics
dc.titleStudy of an alternative phase field model for low interfacial energy in elastic solids
dc.typebook
oapen.identifier.doihttps://doi.org/10.30819/5337
oapen.relation.isPublishedBy04b263a1-7fba-4491-9eae-1c394ac42fc3
oapen.relation.isbn9783832553371
oapen.relation.isbn9783832553371
oapen.collectionKnowledge Unlatched (KU)
oapen.imprintLogos Verlag Berlin


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