DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Precipitous change of the irreversible strain limit with heat-treatment temperature in Nb3Sn wires made by the restacked-rod process

Abstract

The intrinsic irreversible strain limit εirr,0 of Nb3Sn superconducting wires, made by the restacked-rod process and doped with either Ti or Ta, undergoes a precipitous change as a function of temperature θ of the final heat-treatment for forming the A15 phase. Nb3Sn transitions from a highly brittle state where it cracks as soon as it is subjected to an axial tensile strain of any measurable amount, to a state more resilient to tensile strain as high as 0.4%. The remarkable abruptness of this transition (as most of it occurs over a range of only 10 °C) could pose real challenges for the heat-treatment of large magnets, such as those fabricated for the high-luminosity upgrade of the Large Hadron Collider (LHC). We named this behavior the strain irreversibility cliff (SIC) to caution magnet developers. The approach to fulfilling application requirements just in terms of the conductor’s residual resistivity ratio RRR and critical-current density Jc is incomplete. Along with RRR and Jc wire specifications, and sub-element size requirements that reduce wire magnetization and instabilities effects, SIC imposes additional constraints on the choice of heat-treatment conditions to ensure mechanical integrity of the conductor.

Authors:
ORCiD logo [1];  [2];  [3]; ORCiD logo [3];  [4];  [5];  [6]
  1. Univ. of Colorado, Boulder, CO (United States). Dept. of Physics; National Inst. of Standards and Technology (NIST), Boulder, CO (United States). Quantum Electromagnetics Division; Florida State Univ., Tallahassee, FL (United States). Applied Superconductivity Center. National High Magnetic Field Lab.
  2. National Inst. of Standards and Technology (NIST), Boulder, CO (United States). Quantum Electromagnetics Division
  3. Florida State Univ., Tallahassee, FL (United States). Applied Superconductivity Center. National High Magnetic Field Lab.
  4. National Inst. of Standards and Technology (NIST), Boulder, CO (United States). Statistical Engineering Division
  5. Univ. of Colorado, Boulder, CO (United States). Dept. of Physics; National Inst. of Standards and Technology (NIST), Boulder, CO (United States). Quantum Electromagnetics Division
  6. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Univ. of Colorado, Boulder, CO (United States); Florida State Univ., Tallahassee, FL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
OSTI Identifier:
1500008
Grant/Contract Number:  
FG02-07ER41451; SC0010690; SC0012083; SC0017657; AC02-05CH11231; DMR-1157490
Resource Type:
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 8; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; applied physics; superconducting properties and materials

Citation Formats

Cheggour, Najib, Stauffer, Theodore C., Starch, William, Lee, Peter J., Splett, Jolene D., Goodrich, Loren F., and Ghosh, Arup K. Precipitous change of the irreversible strain limit with heat-treatment temperature in Nb3Sn wires made by the restacked-rod process. United States: N. p., 2018. Web. doi:10.1038/s41598-018-30911-x.
Cheggour, Najib, Stauffer, Theodore C., Starch, William, Lee, Peter J., Splett, Jolene D., Goodrich, Loren F., & Ghosh, Arup K. Precipitous change of the irreversible strain limit with heat-treatment temperature in Nb3Sn wires made by the restacked-rod process. United States. https://doi.org/10.1038/s41598-018-30911-x
Cheggour, Najib, Stauffer, Theodore C., Starch, William, Lee, Peter J., Splett, Jolene D., Goodrich, Loren F., and Ghosh, Arup K. Wed . "Precipitous change of the irreversible strain limit with heat-treatment temperature in Nb3Sn wires made by the restacked-rod process". United States. https://doi.org/10.1038/s41598-018-30911-x. https://www.osti.gov/servlets/purl/1500008.
@article{osti_1500008,
title = {Precipitous change of the irreversible strain limit with heat-treatment temperature in Nb3Sn wires made by the restacked-rod process},
author = {Cheggour, Najib and Stauffer, Theodore C. and Starch, William and Lee, Peter J. and Splett, Jolene D. and Goodrich, Loren F. and Ghosh, Arup K.},
abstractNote = {The intrinsic irreversible strain limit εirr,0 of Nb3Sn superconducting wires, made by the restacked-rod process and doped with either Ti or Ta, undergoes a precipitous change as a function of temperature θ of the final heat-treatment for forming the A15 phase. Nb3Sn transitions from a highly brittle state where it cracks as soon as it is subjected to an axial tensile strain of any measurable amount, to a state more resilient to tensile strain as high as 0.4%. The remarkable abruptness of this transition (as most of it occurs over a range of only 10 °C) could pose real challenges for the heat-treatment of large magnets, such as those fabricated for the high-luminosity upgrade of the Large Hadron Collider (LHC). We named this behavior the strain irreversibility cliff (SIC) to caution magnet developers. The approach to fulfilling application requirements just in terms of the conductor’s residual resistivity ratio RRR and critical-current density Jc is incomplete. Along with RRR and Jc wire specifications, and sub-element size requirements that reduce wire magnetization and instabilities effects, SIC imposes additional constraints on the choice of heat-treatment conditions to ensure mechanical integrity of the conductor.},
doi = {10.1038/s41598-018-30911-x},
journal = {Scientific Reports},
number = ,
volume = 8,
place = {United States},
year = {Wed Aug 29 00:00:00 EDT 2018},
month = {Wed Aug 29 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 10 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: Comparison of $I$c(ε) at 4.04 K and 15 T for samples of an RRP Ti-doped Nb3Sn wire (billet 11976-1), heat-treated for 48 hours at (a) 640 °C and (b) 664 °C. Beyond the reversible regime (ε > ε$irr$), the unloaded curve deviates more from the loaded curve formore » the 640 °C heat-treatment, indicating a more pronounced irreversible degradation of $I$c. The sample was loaded and partially unloaded (by constant axial-strain steps of about 0.09%) to obtain the “loaded” and “unloaded” $I$c(ε) curves, represented by solid and empty symbols, respectively. Corresponding loaded and unloaded points are labelled by unprimed and primed letters, respectively (for example, strain point A$′$ is obtained after partially unloading axial strain off the sample from the strain point A). ε$irr$ is defined as the applied strain that produces the first splitting of these two curves. ε$max$ is the applied strain that compensates for the sample’s pre-compressive strain, which arises from cooling the sample from heattreatment temperature to 4 K and the thermal-contraction mismatch amongst the wire constituents as well as Cu-Be material of the Walters’ spring (the sample was soldered to the spring). ε$irr$,0 (=ε$irr$ − ε$max$) is the intrinsic irreversible strain limit.« less

Save / Share:

Works referenced in this record:

Influence of Ti and Ta doping on the irreversible strain limit of ternary Nb 3 Sn superconducting wires made by the restacked-rod process
journal, April 2010


Impact of the Residual Resistivity Ratio on the Stability of ${\rm Nb}_{3}{\rm Sn}$ Magnets
journal, June 2012

  • Bordini, B.; Bottura, L.; Oberli, L.
  • IEEE Transactions on Applied Superconductivity, Vol. 22, Issue 3
  • DOI: 10.1109/TASC.2011.2180693

Texture in state-of-the-art Nb 3 Sn multifilamentary superconducting wires
journal, January 2014


Long sample high sensitivity critical current measurements under strain
journal, July 1986


Compressive Pre-Strain in High-Niobium-Fraction<tex>$rm Nb_3rm Sn$</tex>Superconductors
journal, June 2005

  • Ekin, J. W.; Cheggour, N.; Abrecht, M.
  • IEEE Transactions on Appiled Superconductivity, Vol. 15, Issue 2
  • DOI: 10.1109/TASC.2005.849360

Influence of third elements on growth of Nb3Sn compounds and on global pinning force
journal, May 1986

  • Osamura, K.; Ochiai, S.; Kondo, S.
  • Journal of Materials Science, Vol. 21, Issue 5
  • DOI: 10.1007/BF01114703

Characterization of High $J_{c}$${\rm Nb}_{3}{\rm Sn}$ Strands for the Series-Connected Hybrid Magnet
journal, June 2009


Development of MQXF: The Nb<sub>3</sub>Sn Low-<inline-formula> <tex-math notation="LaTeX">$\beta$</tex-math></inline-formula> Quadrupole for the HiLumi LHC
journal, June 2016

  • Ferracin, P.; Ambrosio, G.; Anerella, M.
  • IEEE Transactions on Applied Superconductivity, Vol. 26, Issue 4
  • DOI: 10.1109/TASC.2015.2510508

Flux Pinning in A15 Superconductors
journal, January 1987

  • Osamura, Kozo; Ochiai, Shojiro
  • Japanese Journal of Applied Physics, Vol. 26, Issue S3-2
  • DOI: 10.7567/JJAPS.26S3.1519

Superconducting Materials and Conductors: Fabrication and Limiting Parameters
journal, January 2012


Superconductivity: its role, its success and its setbacks in the Large Hadron Collider of CERN
journal, February 2010


Flux pinning centers in superconducting Nb 3 Sn
journal, May 1975

  • Scanlan, R. M.; Fietz, W. A.; Koch, E. F.
  • Journal of Applied Physics, Vol. 46, Issue 5
  • DOI: 10.1063/1.321816

Method for determining the irreversible strain limit of Nb 3 Sn wires
journal, June 2011


Kiloampere, Variable-Temperature, Critical-Current Measurements of High-Field Superconductors
journal, January 2013

  • Goodrich, L. F.; Cheggour, N.; Stauffer, T. C.
  • Journal of Research of the National Institute of Standards and Technology, Vol. 118
  • DOI: 10.6028/jres.118.015

Strain and Magnetization Properties of High Subelement Count Tube-Type ${\rm Nb}_{3}{\rm Sn}$ Strands
journal, June 2011

  • Peng, X.; Gregory, E.; Tomsic, M.
  • IEEE Transactions on Applied Superconductivity, Vol. 21, Issue 3
  • DOI: 10.1109/TASC.2010.2100013

Internal Tin ${\hbox {Nb}}_{3}{\hbox {Sn}}$ Conductors Engineered for Fusion and Particle Accelerator Applications
journal, June 2009

  • Parrell, J. A.; Field, M. B.
  • IEEE Transactions on Applied Superconductivity, Vol. 19, Issue 3
  • DOI: 10.1109/TASC.2009.2018074

Conductor Specification and Validation for High-Luminosity LHC Quadrupole Magnets
journal, June 2017

  • Cooley, L. D.; Ghosh, A. K.; Dietderich, D. R.
  • IEEE Transactions on Applied Superconductivity, Vol. 27, Issue 4
  • DOI: 10.1109/TASC.2017.2648738

Systematic Changes of the Nb-Sn Reaction With Time, Temperature, and Alloying in Restacked-Rod-Process (RRP) ${\hbox {Nb}}_{3}{\hbox {Sn}}$ Strands
journal, June 2009

  • Ghosh, A. K.; Sperry, E. A.; D'Ambra, J.
  • IEEE Transactions on Applied Superconductivity, Vol. 19, Issue 3
  • DOI: 10.1109/TASC.2009.2018075

A probe for investigating the effects of temperature, strain, and magnetic field on transport critical currents in superconducting wires and tapes
journal, January 2000

  • Cheggour, Najib; Hampshire, Damian P.
  • Review of Scientific Instruments, Vol. 71, Issue 12
  • DOI: 10.1063/1.1324734

Significant enhancement of compositional and superconducting homogeneity in Ti rather than Ta-doped Nb3Sn
journal, January 2016

  • Tarantini, C.; Sung, Z-H.; Lee, P. J.
  • Applied Physics Letters, Vol. 108, Issue 4
  • DOI: 10.1063/1.4940726

Strain and Magnetic-Field Characterization of a Bronze-Route ${\rm Nb}_{3}{\rm Sn}$ ITER Wire: Benchmarking of Strain Measurement Facilities at NIST and University of Twente
journal, June 2012

  • Cheggour, N.; Nijhuis, A.; Krooshoop, H. J. G.
  • IEEE Transactions on Applied Superconductivity, Vol. 22, Issue 3
  • DOI: 10.1109/TASC.2011.2177433

Effect of Copper Resistivity and Filament Size on the Self-Field Instability of High- $J_{\rm c}$$\hbox{Nb}_{3} \hbox{Sn}$ Strands
journal, June 2013


Examination of the trade-off between intrinsic and extrinsic properties in the optimization of a modern internal tin Nb 3 Sn conductor
journal, April 2014


Works referencing / citing this record:

Implications of the strain irreversibility cliff on the fabrication of particle-accelerator magnets made of restacked-rod-process Nb3Sn wires
journal, April 2019


Weakly-Emergent Strain-Dependent Properties of High Field Superconductors
journal, September 2019


Dipole Magnets Above 20 Tesla: Research Needs for a Path via High-Temperature Superconducting REBCO Conductors
journal, November 2019


Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.