Effect of nonlinear and noncollinear transformation strain pathways in phase-field modeling of nucleation and growth during martensite transformation

The phase-field microelasticity theory has exhibited great capacities in studying elasticity and its effects on microstructure evolution due to various structural and chemical non-uniformities (impurities and defects) in solids. However, the usually adopted linear and/or collinear coupling between e...

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Main Authors: Zhao, Pengyang, Shen, Chen, Li, Ju, Wang, Yunzhi
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Published: Springer Nature 2018
Online Access:http://hdl.handle.net/1721.1/117063
https://orcid.org/0000-0002-7841-8058
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author Zhao, Pengyang
Shen, Chen
Li, Ju
Wang, Yunzhi
author2 Massachusetts Institute of Technology. Department of Mechanical Engineering
author_facet Massachusetts Institute of Technology. Department of Mechanical Engineering
Zhao, Pengyang
Shen, Chen
Li, Ju
Wang, Yunzhi
author_sort Zhao, Pengyang
collection MIT
description The phase-field microelasticity theory has exhibited great capacities in studying elasticity and its effects on microstructure evolution due to various structural and chemical non-uniformities (impurities and defects) in solids. However, the usually adopted linear and/or collinear coupling between eigen transformation strain tensors and order parameters in phase-field microelasticity have excluded many nonlinear transformation pathways that have been revealed in many atomistic calculations. Here we extend phase-field microelasticity by adopting general nonlinear and noncollinear eigen transformation strain paths, which allows for the incorporation of complex transformation pathways and provides a multiscale modeling scheme linking atomistic mechanisms with overall kinetics to better describe solid-state phase transformations. Our case study on a generic cubic to tetragonal martensitic transformation shows that nonlinear transformation pathways can significantly alter the nucleation and growth rates, as well as the configuration and activation energy of the critical nuclei. It is also found that for a pure-shear martensitic transformation, depending on the actual transformation pathway, the nuclei and austenite/martensite interfaces can have nonzero far-field hydrostatic stress and may thus interact with other crystalline defects such as point defects and/or background tension/compression field in a more profound way than what is expected from a linear transformation pathway. Further significance is discussed on the implication of vacancy clustering at austenite/martensite interfaces and segregation at coherent precipitate/matrix interfaces.
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spelling mit-1721.1/1170632022-09-28T08:23:00Z Effect of nonlinear and noncollinear transformation strain pathways in phase-field modeling of nucleation and growth during martensite transformation Zhao, Pengyang Shen, Chen Li, Ju Wang, Yunzhi Massachusetts Institute of Technology. Department of Mechanical Engineering Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Li, Ju Wang, Yunzhi The phase-field microelasticity theory has exhibited great capacities in studying elasticity and its effects on microstructure evolution due to various structural and chemical non-uniformities (impurities and defects) in solids. However, the usually adopted linear and/or collinear coupling between eigen transformation strain tensors and order parameters in phase-field microelasticity have excluded many nonlinear transformation pathways that have been revealed in many atomistic calculations. Here we extend phase-field microelasticity by adopting general nonlinear and noncollinear eigen transformation strain paths, which allows for the incorporation of complex transformation pathways and provides a multiscale modeling scheme linking atomistic mechanisms with overall kinetics to better describe solid-state phase transformations. Our case study on a generic cubic to tetragonal martensitic transformation shows that nonlinear transformation pathways can significantly alter the nucleation and growth rates, as well as the configuration and activation energy of the critical nuclei. It is also found that for a pure-shear martensitic transformation, depending on the actual transformation pathway, the nuclei and austenite/martensite interfaces can have nonzero far-field hydrostatic stress and may thus interact with other crystalline defects such as point defects and/or background tension/compression field in a more profound way than what is expected from a linear transformation pathway. Further significance is discussed on the implication of vacancy clustering at austenite/martensite interfaces and segregation at coherent precipitate/matrix interfaces. National Science Foundation (U.S.). Division of Materials Research (DMR-1410322) National Science Foundation (U.S.). Division of Materials Research (DMR-1410636) 2018-07-24T14:10:59Z 2018-07-24T14:10:59Z 2017-05 2017-03 2018-07-23T15:29:32Z Article http://purl.org/eprint/type/JournalArticle 2057-3960 http://hdl.handle.net/1721.1/117063 Zhao, Pengyang, Chen Shen, Ju Li, and Yunzhi Wang. “Effect of Nonlinear and Noncollinear Transformation Strain Pathways in Phase-Field Modeling of Nucleation and Growth During Martensite Transformation.” Npj Computational Materials 3, no. 1 (May 10, 2017). https://orcid.org/0000-0002-7841-8058 http://dx.doi.org/10.1038/S41524-017-0022-2 npj Computational Materials Creative Commons Attribution 4.0 International License http://creativecommons.org/licenses/by/4.0/ application/pdf Springer Nature Nature
spellingShingle Zhao, Pengyang
Shen, Chen
Li, Ju
Wang, Yunzhi
Effect of nonlinear and noncollinear transformation strain pathways in phase-field modeling of nucleation and growth during martensite transformation
title Effect of nonlinear and noncollinear transformation strain pathways in phase-field modeling of nucleation and growth during martensite transformation
title_full Effect of nonlinear and noncollinear transformation strain pathways in phase-field modeling of nucleation and growth during martensite transformation
title_fullStr Effect of nonlinear and noncollinear transformation strain pathways in phase-field modeling of nucleation and growth during martensite transformation
title_full_unstemmed Effect of nonlinear and noncollinear transformation strain pathways in phase-field modeling of nucleation and growth during martensite transformation
title_short Effect of nonlinear and noncollinear transformation strain pathways in phase-field modeling of nucleation and growth during martensite transformation
title_sort effect of nonlinear and noncollinear transformation strain pathways in phase field modeling of nucleation and growth during martensite transformation
url http://hdl.handle.net/1721.1/117063
https://orcid.org/0000-0002-7841-8058
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