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Title: The role of deviatoric stress and dislocations on the α to ω phase transformation in Ti

Abstract

Under extreme conditions, α-Ti becomes unstable and transforms either into β-Ti at high temperature or into ω-Ti at high pressure. In what concerns the α to ω phase transformation (PT), there has been a wide range of experimentally reported transition pressures from approximately 2 to 15 GPa at room temperature. Deviatoric stresses and internal defects are often assumed to be the root cause of this variation. Here, in this study, these postulates are revisited using both continuum mechanics and molecular dynamics (MD) simulations. First, a simple continuum model, assuming linear elasticity and isotropic plasticity, is developed to describe the effects of applied stress and dislocations on the stability of an ω nucleus in an infinite α domain. Second, a new MD simulation method is developed to generate an ω nucleus in the α domain utilizing the displacement field identified from the topological analysis. Results from MD simulations show that despite the fact that phase diagrams typically delineate the limits between two phases in terms of only P and T, deviatoric stress promotes the α to ω phase transformation by reducing the critical radius above which an ω nucleus is stable. Furthermore, the required deviatoric stress to nucleate and stabilize a nanoscale ω nucleus is likely emanating from the internal stress of defects such as dislocations. The MD-informed micromechanics models are used to identify favorable configurations where dislocations help favor the α to ω transformation. These configurations show that the interaction with a basal or prismatic dislocation reduces the critical radius of a ω nucleus by about 10 or 16 %, respectively. In addition, prismatic edge dislocations are found to promote the growth of ω nucleus when interacting with the ($$\bar{1}$$$$\bar{1}$$20)α//(0001)ω interface. Importantly, a simple model of the arrival of dislocation at an ω nucleus suggests that PT does not necessarily require a pile-up to be present but could alternatively be mediated by a constant rapid flow of dislocations.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1902096
Alternate Identifier(s):
OSTI ID: 1961277
Report Number(s):
LA-UR-22-25264
Journal ID: ISSN 1359-6454
Grant/Contract Number:  
89233218CNA000001; FWP 06SCPE401
Resource Type:
Accepted Manuscript
Journal Name:
Acta Materialia
Additional Journal Information:
Journal Volume: 244; Journal ID: ISSN 1359-6454
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Phase transformation; α-Ti; HCP; ω-Ti; Molecular dynamics simulations

Citation Formats

Dang, Khanh Quoc, Tomé, Carlos N., and Capolungo, Laurent. The role of deviatoric stress and dislocations on the α to ω phase transformation in Ti. United States: N. p., 2022. Web. doi:10.1016/j.actamat.2022.118510.
Dang, Khanh Quoc, Tomé, Carlos N., & Capolungo, Laurent. The role of deviatoric stress and dislocations on the α to ω phase transformation in Ti. United States. https://doi.org/10.1016/j.actamat.2022.118510
Dang, Khanh Quoc, Tomé, Carlos N., and Capolungo, Laurent. Tue . "The role of deviatoric stress and dislocations on the α to ω phase transformation in Ti". United States. https://doi.org/10.1016/j.actamat.2022.118510. https://www.osti.gov/servlets/purl/1902096.
@article{osti_1902096,
title = {The role of deviatoric stress and dislocations on the α to ω phase transformation in Ti},
author = {Dang, Khanh Quoc and Tomé, Carlos N. and Capolungo, Laurent},
abstractNote = {Under extreme conditions, α-Ti becomes unstable and transforms either into β-Ti at high temperature or into ω-Ti at high pressure. In what concerns the α to ω phase transformation (PT), there has been a wide range of experimentally reported transition pressures from approximately 2 to 15 GPa at room temperature. Deviatoric stresses and internal defects are often assumed to be the root cause of this variation. Here, in this study, these postulates are revisited using both continuum mechanics and molecular dynamics (MD) simulations. First, a simple continuum model, assuming linear elasticity and isotropic plasticity, is developed to describe the effects of applied stress and dislocations on the stability of an ω nucleus in an infinite α domain. Second, a new MD simulation method is developed to generate an ω nucleus in the α domain utilizing the displacement field identified from the topological analysis. Results from MD simulations show that despite the fact that phase diagrams typically delineate the limits between two phases in terms of only P and T, deviatoric stress promotes the α to ω phase transformation by reducing the critical radius above which an ω nucleus is stable. Furthermore, the required deviatoric stress to nucleate and stabilize a nanoscale ω nucleus is likely emanating from the internal stress of defects such as dislocations. The MD-informed micromechanics models are used to identify favorable configurations where dislocations help favor the α to ω transformation. These configurations show that the interaction with a basal or prismatic dislocation reduces the critical radius of a ω nucleus by about 10 or 16 %, respectively. In addition, prismatic edge dislocations are found to promote the growth of ω nucleus when interacting with the ($\bar{1}$$\bar{1}$20)α//(0001)ω interface. Importantly, a simple model of the arrival of dislocation at an ω nucleus suggests that PT does not necessarily require a pile-up to be present but could alternatively be mediated by a constant rapid flow of dislocations.},
doi = {10.1016/j.actamat.2022.118510},
journal = {Acta Materialia},
number = ,
volume = 244,
place = {United States},
year = {Tue Nov 22 00:00:00 EST 2022},
month = {Tue Nov 22 00:00:00 EST 2022}
}

Works referenced in this record:

The orientation relationship between the α- and ω-phases of titanium and zirconium
journal, September 1973


Orientation relationship between α-phase and high-pressure ω-phase of pure group IV transition metals
journal, March 2015


Anisotropic shock response of titanium: Reorientation and transformation mechanisms
journal, February 2014


Unravelling the nucleation and growth of {11-2¯2} twins
journal, July 2022


New Mechanism for the α to ω Martensitic Transformation in Pure Titanium
journal, July 2003


Formation of the omega phase in titanium by hydrostatic pressure soaking
journal, April 1971


Microscopic and crystallographic aspects of retained omega phase in shock-loaded zirconium and its formation mechanism
journal, February 1995


Crystal structures of group IVa metals at ultrahigh pressures
journal, October 1990


On the kinetics of a Frank-Read source
journal, December 1979


The influence of oxygen content on the α to ω phase transformation and shock hardening of titanium
journal, July 2006

  • Cerreta, E.; Gray, G. T.; Lawson, A. C.
  • Journal of Applied Physics, Vol. 100, Issue 1
  • DOI: 10.1063/1.2209540

Hoover NPT dynamics for systems varying in shape and size
journal, February 1993

  • Melchionna, Simone; Ciccotti, Giovanni; Lee Holian, Brad
  • Molecular Physics, Vol. 78, Issue 3
  • DOI: 10.1080/00268979300100371

Omega phase embrittlement in aged Ti-V
journal, May 1970

  • Koul, M. K.; Breedis, J. F.
  • Metallurgical and Materials Transactions B, Vol. 1, Issue 5
  • DOI: 10.1007/BF02900269

An X-ray examination of the to phase in TiV, TiMo and TiCr alloys
journal, July 1958


Scale-Free Modeling of Coupled Evolution of Discrete Dislocation Bands and Multivariant Martensitic Microstructure
journal, November 2018


A study of the stress state associated with twin nucleation and propagation in anisotropic materials
journal, January 1993


Three-dimensional atomic scale characterization of { 11 2 ¯ 2 } twin boundaries in titanium
journal, April 2021


High-pressure mechanochemistry: Conceptual multiscale theory and interpretation of experiments
journal, November 2004


Shock loading characteristics of Zr and Ti metals using dual beam velocimeter
journal, August 2015

  • Saxena, A. K.; Kaushik, T. C.; Gupta, Satish C.
  • Journal of Applied Physics, Vol. 118, Issue 7
  • DOI: 10.1063/1.4928814

Visualization and analysis of atomistic simulation data with OVITO–the Open Visualization Tool
journal, December 2009


Deformation twinning
journal, January 1995


Nanoscale mechanisms for high-pressure mechanochemistry: a phase field study
journal, March 2018


The strengthening effect of voids
journal, August 1982


The displacement field of a triangular dislocation loop
journal, March 1985


Phase field simulations of plastic strain-induced phase transformations under high pressure and large shear
journal, December 2016


Characteristic boundaries associated with three-dimensional twins in hexagonal metals
journal, July 2020

  • Wang, Shujuan; Gong, Mingyu; McCabe, Rodney J.
  • Science Advances, Vol. 6, Issue 28
  • DOI: 10.1126/sciadv.aaz2600

Formation of {112¯2} contraction twins in titanium through reversible martensitic phase transformation
journal, April 2021


Orientation Relations During the α - ω Phase Transition of Zirconium: In Situ Texture Observations at High Pressure and Temperature
journal, November 2013


Mobility of dislocations in Aluminum: Faceting and asymmetry during nanoscale dislocation shear loop expansion
journal, April 2019


Edge dislocations bowing out from a row of collinear obstacles in Al
journal, October 2016


Crystal structures of Ti under high pressure: Theory
journal, April 2003


The kinetics of migration of point defects to dislocations
journal, January 1970


Phase transformations in nanograin materials under high pressure and plastic shear: nanoscale mechanisms
journal, January 2014

  • Levitas, Valery I.; Javanbakht, Mahdi
  • Nanoscale, Vol. 6, Issue 1
  • DOI: 10.1039/C3NR05044K

Crystallography and a model of the α → ω phase transformation in zirconium
journal, April 1981


Phase transformations and tensile properties of Ti-10V-2Fe-3AI
journal, December 1980

  • Duerig, T. W.; Terlinde, G. T.; Williams, J. C.
  • Metallurgical Transactions A, Vol. 11, Issue 12
  • DOI: 10.1007/BF02655118

Machine learning models for predictive materials science from fundamental physics: An application to titanium and zirconium
journal, February 2022


Alpha to omega martensitic phase transformation pathways in pure Zr
journal, February 2014


Classical potential describes martensitic phase transformations between the α , β , and ω titanium phases
journal, August 2008


Omega phase in materials
journal, January 1982


Collective nature of plasticity in mediating phase transformation under shock compression
journal, June 2014