Study of an alternative phase field model for low interfacial energy in elastic solids / Anke Böttcher.
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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Place / Publishing House: | [s.l.] : : Logos Verlag Berlin,, 2021. |
Year of Publication: | 2021 |
Language: | English |
Physical Description: | 1 online resource (152 p.) |
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Böttcher, Anke author. Study of an alternative phase field model for low interfacial energy in elastic solids Anke Böttcher. Berlin Logos Verlag Berlin 2021 [s.l.] : Logos Verlag Berlin, 2021. 1 online resource (152 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier Description based on print version record. CC BY-NC-ND 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. English Science / Chemistry bisacsh Science / Physics bisacsh Mathematics bisacsh Science phase field modelling elasticity interface width interfacial energy hybrid Allen-Cahn model 3-8325-5337-1 |
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Böttcher, Anke |
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Böttcher, Anke Study of an alternative phase field model for low interfacial energy in elastic solids |
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Böttcher, Anke |
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Böttcher, Anke |
title |
Study of an alternative phase field model for low interfacial energy in elastic solids |
title_full |
Study of an alternative phase field model for low interfacial energy in elastic solids Anke Böttcher. |
title_fullStr |
Study of an alternative phase field model for low interfacial energy in elastic solids Anke Böttcher. |
title_full_unstemmed |
Study of an alternative phase field model for low interfacial energy in elastic solids Anke Böttcher. |
title_auth |
Study of an alternative phase field model for low interfacial energy in elastic solids |
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Study of an alternative phase field model for low interfacial energy in elastic solids |
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study of an alternative phase field model for low interfacial energy in elastic solids |
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Logos Verlag Berlin Logos Verlag Berlin, |
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2021 |
physical |
1 online resource (152 p.) |
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3-8325-5337-1 |
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Not Illustrated |
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AT bottcheranke studyofanalternativephasefieldmodelforlowinterfacialenergyinelasticsolids |
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(CKB)5400000000041917 (ScCtBLL)3dfe288a-61e5-4d05-9412-e4756de2e875 (oapen)https://directory.doabooks.org/handle/20.500.12854/75070 (EXLCZ)995400000000041917 |
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Study of an alternative phase field model for low interfacial energy in elastic solids |
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1796649052397371392 |
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