Cubic to tetragonal martensitic transformation in a thin film elastically constrained by a substrate
A 3-dimensional phase-field model is developed to describe the cubic to tetragonal martensitic phase transformation in a thin film attached to a substrate. Elasticity solutions are derived for both elastically anisotropic and isotropic thin films with arbitrary domain structures, subject to the mixe...
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| Published in | Metals and materials international Vol. 9; no. 3; pp. 221 - 226 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Seoul
Springer Nature B.V
01.06.2003
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1598-9623 2005-4149 |
| DOI | 10.1007/BF03027039 |
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| Abstract | A 3-dimensional phase-field model is developed to describe the cubic to tetragonal martensitic phase transformation in a thin film attached to a substrate. Elasticity solutions are derived for both elastically anisotropic and isotropic thin films with arbitrary domain structures, subject to the mixed boundary conditions for stress-free and constrained states. The model is applied to an Fe-31%Ni alloy system. The nucleation process as well as the final domain structure strongly depends on the substrate constraint. At a smaller undercooling, the increased strain energy effect results in a lower volume fraction of martensite, a finer domain structure and a longer nucleation period. |
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| AbstractList | A 3-dimensional phase-field model is developed to describe the cubic to tetragonal martensitic phase transformation in a thin film attached to a substrate. Elasticity solutions are derived for both elastically anisotropic and isotropic thin films with arbitrary domain structures, subject to the mixed boundary conditions for stress-free and constrained states. The model is applied to an Fe-31%Ni alloy system. The nucleation process as well as the final domain structure strongly depends on the substrate constraint. At a smaller undercooling, the increased strain energy effect results in a lower volume fraction of martensite, a finer domain structure and a longer nucleation period. A 3-dimensional phase-field model is developed to describe the cubic to tetragonal martensitic phase transformation in a thin film attached to a substrate. Elasticity solutions are derived for both elastically anisotropic and isotropic thin films with arbitrary domain structures, subject to the mixed boundary conditions for stress-free and constrained states. The model is applied to an Fe-31%Ni alloy system. The nucleation process as well as the final domain structure strongly depends on the substrate constraint. At a smaller undercooling, the increased strain energy effect results in a lower volume fraction of martensite, a finer domain structure and a longer nucleation period.[PUBLICATION ABSTRACT] |
| Author | Li, Y. L. Chen, L. Q. Oh, K. H. Hu, S. Y. Seol, D. J. |
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| Cites_doi | 10.1016/S1359-6454(00)00071-9 10.1016/S0010-4655(97)00115-X 10.1063/1.1377855 10.1016/0001-6160(73)90197-1 10.1016/S1359-6454(01)00021-0 10.1515/jnet.1998.23.1.1 10.1007/BF03027232 10.1016/S1359-6454(01)00108-2 10.1016/S1359-6454(01)00360-3 10.1146/annurev.matsci.32.112001.132041 |
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| References | Y. L. Li (BF03027039_CR6) 2002; 50 D. J. Seol (BF03027039_CR4) 2003; 9 A. Artemev (BF03027039_CR1) 2000; 48 Y. L. Li (BF03027039_CR7) 2001; 78 K. Binder (BF03027039_CR3) 1998; 23 Y. M. Jin (BF03027039_CR5) 2001; 49 J. E. Breedis (BF03027039_CR11) 1962; 224 L. Q. Chen (BF03027039_CR8) 2002; 32 A. Artemev (BF03027039_CR2) 2001; 49 L. Q. Chen (BF03027039_CR10) 1998; 108 G. Hausch (BF03027039_CR12) 1973; 21 A. G. Khachaturyan (BF03027039_CR9) 1983 |
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| SubjectTerms | Alloy systems Alloys Boundary conditions Constraints Domains Ferrous alloys Martensite Martensitic transformations Mathematical models Metallurgy Nucleation Phase transitions Strain Strain energy Substrates Supercooling Thin films Three dimensional models |
| Title | Cubic to tetragonal martensitic transformation in a thin film elastically constrained by a substrate |
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