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Title: Heterogeneous Internal Strain Evolution in Commercial Purity Titanium Due to Anisotropic Coefficients of Thermal Expansion

Abstract

Here, heterogeneous internal elastic strain in polycrystalline hexagonal close-packed materials is found to originate from the intrinsic anisotropy in thermal expansivity. As most noncubic metals have anisotropic thermal expansivity, cooling from elevated temperature leads to internal stresses. To simulate the internal stresses present in a polycrystal prior to plastic deformation, the anisotropic coefficients of thermal expansion over a wide range of temperatures need to be known. One sample of strongly textured commercial purity titanium was probed using high-energy x-ray diffraction microscopy during in situ heating. From averages of the directional lattice strain as a function of temperature, the directional expansion of the material showed a crossover where the incremental c-axis expansion exceeded the a-axis expansion between 700°C and 800°C. Finally, applying a three-dimensional crystal thermoelasticity model using a realistic microstructure based upon the experimental data, the anisotropic coefficients of thermal expansion were extracted by fitting to the average strain evolution identified from experiments.

Authors:
ORCiD logo [1];  [2];  [2];  [3];  [1]
  1. Imperial College, London (United Kingdom)
  2. Michigan State Univ., East Lansing, MI (United States)
  3. Cornell Univ., Ithaca, NY (United States). Cornell High Energy Synchrotron Source (CHESS)
Publication Date:
Research Org.:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF)
OSTI Identifier:
1595227
Grant/Contract Number:  
SC0001525; FG02-09ER46637; DMR-1332208
Resource Type:
Accepted Manuscript
Journal Name:
JOM. Journal of the Minerals, Metals & Materials Society
Additional Journal Information:
Journal Volume: 72; Journal Issue: 1; Journal ID: ISSN 1047-4838
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Zheng, Zebang, Eisenlohr, Philip, Bieler, T. R., Pagan, Darren C., and Dunne, Fionn P. E. Heterogeneous Internal Strain Evolution in Commercial Purity Titanium Due to Anisotropic Coefficients of Thermal Expansion. United States: N. p., 2019. Web. https://doi.org/10.1007/s11837-019-03743-x.
Zheng, Zebang, Eisenlohr, Philip, Bieler, T. R., Pagan, Darren C., & Dunne, Fionn P. E. Heterogeneous Internal Strain Evolution in Commercial Purity Titanium Due to Anisotropic Coefficients of Thermal Expansion. United States. https://doi.org/10.1007/s11837-019-03743-x
Zheng, Zebang, Eisenlohr, Philip, Bieler, T. R., Pagan, Darren C., and Dunne, Fionn P. E. Tue . "Heterogeneous Internal Strain Evolution in Commercial Purity Titanium Due to Anisotropic Coefficients of Thermal Expansion". United States. https://doi.org/10.1007/s11837-019-03743-x. https://www.osti.gov/servlets/purl/1595227.
@article{osti_1595227,
title = {Heterogeneous Internal Strain Evolution in Commercial Purity Titanium Due to Anisotropic Coefficients of Thermal Expansion},
author = {Zheng, Zebang and Eisenlohr, Philip and Bieler, T. R. and Pagan, Darren C. and Dunne, Fionn P. E.},
abstractNote = {Here, heterogeneous internal elastic strain in polycrystalline hexagonal close-packed materials is found to originate from the intrinsic anisotropy in thermal expansivity. As most noncubic metals have anisotropic thermal expansivity, cooling from elevated temperature leads to internal stresses. To simulate the internal stresses present in a polycrystal prior to plastic deformation, the anisotropic coefficients of thermal expansion over a wide range of temperatures need to be known. One sample of strongly textured commercial purity titanium was probed using high-energy x-ray diffraction microscopy during in situ heating. From averages of the directional lattice strain as a function of temperature, the directional expansion of the material showed a crossover where the incremental c-axis expansion exceeded the a-axis expansion between 700°C and 800°C. Finally, applying a three-dimensional crystal thermoelasticity model using a realistic microstructure based upon the experimental data, the anisotropic coefficients of thermal expansion were extracted by fitting to the average strain evolution identified from experiments.},
doi = {10.1007/s11837-019-03743-x},
journal = {JOM. Journal of the Minerals, Metals & Materials Society},
number = 1,
volume = 72,
place = {United States},
year = {2019},
month = {9}
}

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