Quantitative kinetic rules for plastic strain-induced α - ω phase transformation in Zr under high pressure

Abstract Plastic strain-induced phase transformations (PTs) and chemical reactions under high pressure are broadly spread in modern technologies, friction and wear, geophysics, and astrogeology. However, because of very heterogeneous fields of plastic strain $${{\boldsymbol{E}}}^{p}$$ E p and stress...

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Main Authors: Achyut Dhar, Valery I. Levitas, K. K. Pandey, Changyong Park, Maddury Somayazulu, Nenad Velisavljevic
Format: Article
Language:English
Published: Nature Portfolio 2024-12-01
Series:npj Computational Materials
Online Access:https://doi.org/10.1038/s41524-024-01491-4
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author Achyut Dhar
Valery I. Levitas
K. K. Pandey
Changyong Park
Maddury Somayazulu
Nenad Velisavljevic
author_facet Achyut Dhar
Valery I. Levitas
K. K. Pandey
Changyong Park
Maddury Somayazulu
Nenad Velisavljevic
author_sort Achyut Dhar
collection DOAJ
description Abstract Plastic strain-induced phase transformations (PTs) and chemical reactions under high pressure are broadly spread in modern technologies, friction and wear, geophysics, and astrogeology. However, because of very heterogeneous fields of plastic strain $${{\boldsymbol{E}}}^{p}$$ E p and stress σ tensors and volume fraction c of phases in a sample compressed in a diamond anvil cell (DAC) and impossibility of measurements of σ and $${{\boldsymbol{E}}}^{p}$$ E p , there are no strict kinetic equations for them. Here, we develop a kinetic model, finite element method (FEM) approach, and combined FEM-experimental approaches to determine all fields in strongly plastically predeformed Zr compressed in DAC, and specific kinetic equation for α-ω PT consistent with experimental data for the entire sample. Since all fields in the sample are very heterogeneous, data are obtained for numerous complex 7D paths in the space of 3 components of the plastic strain tensor and 4 components of the stress tensor. Kinetic equation depends on accumulated plastic strain (instead of time) and pressure and is independent of plastic strain and deviatoric stress tensors, i.e., it can be applied for various above processes. Our results initiate kinetic studies of strain-induced PTs and provide efforts toward more comprehensive understanding of material behavior in extreme conditions.
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issn 2057-3960
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spelling doaj-art-db1a4b89caf64edab3225cd9954d02682025-08-20T02:31:44ZengNature Portfolionpj Computational Materials2057-39602024-12-0110111310.1038/s41524-024-01491-4Quantitative kinetic rules for plastic strain-induced α - ω phase transformation in Zr under high pressureAchyut Dhar0Valery I. Levitas1K. K. Pandey2Changyong Park3Maddury Somayazulu4Nenad Velisavljevic5Department of Aerospace Engineering, Iowa State UniversityDepartment of Aerospace Engineering, Iowa State UniversityDepartment of Aerospace Engineering, Iowa State UniversityHPCAT, X-ray Science Division, Argonne National LaboratoryHPCAT, X-ray Science Division, Argonne National LaboratoryHPCAT, X-ray Science Division, Argonne National LaboratoryAbstract Plastic strain-induced phase transformations (PTs) and chemical reactions under high pressure are broadly spread in modern technologies, friction and wear, geophysics, and astrogeology. However, because of very heterogeneous fields of plastic strain $${{\boldsymbol{E}}}^{p}$$ E p and stress σ tensors and volume fraction c of phases in a sample compressed in a diamond anvil cell (DAC) and impossibility of measurements of σ and $${{\boldsymbol{E}}}^{p}$$ E p , there are no strict kinetic equations for them. Here, we develop a kinetic model, finite element method (FEM) approach, and combined FEM-experimental approaches to determine all fields in strongly plastically predeformed Zr compressed in DAC, and specific kinetic equation for α-ω PT consistent with experimental data for the entire sample. Since all fields in the sample are very heterogeneous, data are obtained for numerous complex 7D paths in the space of 3 components of the plastic strain tensor and 4 components of the stress tensor. Kinetic equation depends on accumulated plastic strain (instead of time) and pressure and is independent of plastic strain and deviatoric stress tensors, i.e., it can be applied for various above processes. Our results initiate kinetic studies of strain-induced PTs and provide efforts toward more comprehensive understanding of material behavior in extreme conditions.https://doi.org/10.1038/s41524-024-01491-4
spellingShingle Achyut Dhar
Valery I. Levitas
K. K. Pandey
Changyong Park
Maddury Somayazulu
Nenad Velisavljevic
Quantitative kinetic rules for plastic strain-induced α - ω phase transformation in Zr under high pressure
npj Computational Materials
title Quantitative kinetic rules for plastic strain-induced α - ω phase transformation in Zr under high pressure
title_full Quantitative kinetic rules for plastic strain-induced α - ω phase transformation in Zr under high pressure
title_fullStr Quantitative kinetic rules for plastic strain-induced α - ω phase transformation in Zr under high pressure
title_full_unstemmed Quantitative kinetic rules for plastic strain-induced α - ω phase transformation in Zr under high pressure
title_short Quantitative kinetic rules for plastic strain-induced α - ω phase transformation in Zr under high pressure
title_sort quantitative kinetic rules for plastic strain induced α ω phase transformation in zr under high pressure
url https://doi.org/10.1038/s41524-024-01491-4
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