skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Determining elastic anisotropy of textured polycrystals using resonant ultrasound spectroscopy

Abstract

Abstract Polycrystalline materials can have complex anisotropic properties depending on their crystallographic texture and crystal structure. In this study, we use resonant ultrasound spectroscopy (RUS) to nondestructively quantify the elastic anisotropy in extruded aluminum alloy 1100-O, an inherently low-anisotropy material. Further, we show that RUS can be used to indirectly provide a description of the material’s texture, which in the present case is found to be transversely isotropic. By determining the entire elastic tensor, we can identify the level and orientation of the anisotropy originated during extrusion. The relative anisotropy of the compressive (c 11 /c 33 ) and shear (c 44 /c 66 ) elastic constants is 1.5% ± 0.5% and 5.7% ± 0.5%, respectively, where the elastic constants (five independent elastic constants for transversely isotropic) are those associated with the extrusion axis that defines the symmetry of the texture. These results indicate that the texture is expected to have transversely isotropic symmetry. This finding is confirmed by two additional approaches. First, we confirm elastic constants and the degree of elastic anisotropy by direct sound velocity measurements using ultrasonic pulse echo. Second, neutron diffraction (ND) data confirm the symmetry of the bulk texture consistent with extrusion-induced anisotropy, and polycrystal elasticity simulations using themore » elastic self-consistent model with input from ND textures and aluminum single-crystal elastic constants render similar levels of polycrystal elastic anisotropy to those measured by RUS. We demonstrate the ability of RUS to detect texture-induced anisotropy in inherently low-anisotropy materials. Therefore, as many other common materials have intrinsically higher elastic anisotropy, this technique should be applicable for similar levels of texture, providing an efficient general diagnostic and characterization tool.« less

Authors:
; ORCiD logo; ORCiD logo; ORCiD logo; ORCiD logo; ; ORCiD logo; ORCiD logo; ORCiD logo
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1767317
Grant/Contract Number:  
LDRD 20180250ER
Resource Type:
Published Article
Journal Name:
Journal of Materials Science
Additional Journal Information:
Journal Name: Journal of Materials Science Journal Volume: 56 Journal Issue: 16; Journal ID: ISSN 0022-2461
Publisher:
Springer Science + Business Media
Country of Publication:
United States
Language:
English

Citation Formats

Evans, Jordan A., Sturtevant, Blake T., Clausen, Bjørn, Vogel, Sven C., Balakirev, Fedor F., Betts, Jonathan B., Capolungo, Laurent, Lebensohn, Ricardo A., and Maiorov, Boris. Determining elastic anisotropy of textured polycrystals using resonant ultrasound spectroscopy. United States: N. p., 2021. Web. https://doi.org/10.1007/s10853-021-05827-z.
Evans, Jordan A., Sturtevant, Blake T., Clausen, Bjørn, Vogel, Sven C., Balakirev, Fedor F., Betts, Jonathan B., Capolungo, Laurent, Lebensohn, Ricardo A., & Maiorov, Boris. Determining elastic anisotropy of textured polycrystals using resonant ultrasound spectroscopy. United States. https://doi.org/10.1007/s10853-021-05827-z
Evans, Jordan A., Sturtevant, Blake T., Clausen, Bjørn, Vogel, Sven C., Balakirev, Fedor F., Betts, Jonathan B., Capolungo, Laurent, Lebensohn, Ricardo A., and Maiorov, Boris. Wed . "Determining elastic anisotropy of textured polycrystals using resonant ultrasound spectroscopy". United States. https://doi.org/10.1007/s10853-021-05827-z.
@article{osti_1767317,
title = {Determining elastic anisotropy of textured polycrystals using resonant ultrasound spectroscopy},
author = {Evans, Jordan A. and Sturtevant, Blake T. and Clausen, Bjørn and Vogel, Sven C. and Balakirev, Fedor F. and Betts, Jonathan B. and Capolungo, Laurent and Lebensohn, Ricardo A. and Maiorov, Boris},
abstractNote = {Abstract Polycrystalline materials can have complex anisotropic properties depending on their crystallographic texture and crystal structure. In this study, we use resonant ultrasound spectroscopy (RUS) to nondestructively quantify the elastic anisotropy in extruded aluminum alloy 1100-O, an inherently low-anisotropy material. Further, we show that RUS can be used to indirectly provide a description of the material’s texture, which in the present case is found to be transversely isotropic. By determining the entire elastic tensor, we can identify the level and orientation of the anisotropy originated during extrusion. The relative anisotropy of the compressive (c 11 /c 33 ) and shear (c 44 /c 66 ) elastic constants is 1.5% ± 0.5% and 5.7% ± 0.5%, respectively, where the elastic constants (five independent elastic constants for transversely isotropic) are those associated with the extrusion axis that defines the symmetry of the texture. These results indicate that the texture is expected to have transversely isotropic symmetry. This finding is confirmed by two additional approaches. First, we confirm elastic constants and the degree of elastic anisotropy by direct sound velocity measurements using ultrasonic pulse echo. Second, neutron diffraction (ND) data confirm the symmetry of the bulk texture consistent with extrusion-induced anisotropy, and polycrystal elasticity simulations using the elastic self-consistent model with input from ND textures and aluminum single-crystal elastic constants render similar levels of polycrystal elastic anisotropy to those measured by RUS. We demonstrate the ability of RUS to detect texture-induced anisotropy in inherently low-anisotropy materials. Therefore, as many other common materials have intrinsically higher elastic anisotropy, this technique should be applicable for similar levels of texture, providing an efficient general diagnostic and characterization tool.},
doi = {10.1007/s10853-021-05827-z},
journal = {Journal of Materials Science},
number = 16,
volume = 56,
place = {United States},
year = {2021},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1007/s10853-021-05827-z

Save / Share:

Works referenced in this record:

The Elastic Constants Measurement of Metal Alloy by Using Ultrasonic Nondestructive Method at Different Temperature
journal, January 2016


Discharge current effect on machining characteristics and mechanical properties of aluminum alloy 6061 workpiece produced by electric discharging machining process
journal, November 2017

  • Kuo, Chin-Guo; Hsu, Chun-Yao; Chen, Jung-Hsuan
  • Advances in Mechanical Engineering, Vol. 9, Issue 11
  • DOI: 10.1177/1687814017730756

High Precision Electro Discharge Machining of Molybdenum and Tungsten
journal, January 2013


Microstructure and texture of asymmetrically rolled aluminium and titanium after deformation and recrystallization
journal, August 2015

  • Wronski, M.; Wierzbanowski, K.; Wronski, S.
  • IOP Conference Series: Materials Science and Engineering, Vol. 89
  • DOI: 10.1088/1757-899x/89/1/012050

Texture and anisotropy
journal, July 2004


Anisotropic magnetocrystalline coupling of the skyrmion lattice in MnSi
journal, March 2018


Direct volumetric measurement of crystallographic texture using acoustic waves
journal, October 2018


Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle .
journal, January 1929


Skyrmion lattice creep at ultra-low current densities
journal, November 2020


Texture and Anisotropy
journal, January 2002


Bulk and local textures of pure magnesium processed by rotary swaging
journal, December 2013


Pulse Superposition Method for Measuring Ultrasonic Wave Velocities in Solids
journal, January 1961

  • McSkimin, H. J.
  • The Journal of the Acoustical Society of America, Vol. 33, Issue 1
  • DOI: 10.1121/1.1908386

An Approximation Method for the Determination of the Elastic Constants of Cubic Single Crystals
journal, December 1950

  • Neighbours, J. R.; Smith, Charles S.
  • Journal of Applied Physics, Vol. 21, Issue 12
  • DOI: 10.1063/1.1699601

Elastic Properties of Metals and Alloys, I. Iron, Nickel, and Iron‐Nickel Alloys
journal, July 1973

  • Ledbetter, H. M.; Reed, R. P.
  • Journal of Physical and Chemical Reference Data, Vol. 2, Issue 3
  • DOI: 10.1063/1.3253127

Monocrystal-Polycrystal Elastic Constants of a Stainless Steel
journal, September 1984


Neutron diffraction texture analysis
journal, June 1997


Critical Assessment 16: Anisotropy in metals
journal, December 2014


Elastic Constants by the Ultrasonic Pulse Echo Method
journal, April 1958

  • Eros, S.; Reitz, J. R.
  • Journal of Applied Physics, Vol. 29, Issue 4
  • DOI: 10.1063/1.1723250

Ultrasonic Measurements on Single Crystals
journal, August 1947


A spherical harmonic approach for the determination of HCP texture from ultrasound: A solution to the inverse problem
journal, October 2015

  • Lan, Bo; Lowe, Michael J. S.; Dunne, Fionn P. E.
  • Journal of the Mechanics and Physics of Solids, Vol. 83
  • DOI: 10.1016/j.jmps.2015.06.014

On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects
journal, October 1991

  • Visscher, William M.; Migliori, Albert; Bell, Thomas M.
  • The Journal of the Acoustical Society of America, Vol. 90, Issue 4
  • DOI: 10.1121/1.401643

Elastic constants of YCa4O(BO3)3 and NdCa4O(BO3)3 single crystals by the pulse-echo ultrasonic method
conference, October 2012


Resonant ultrasound spectroscopy: The essential toolbox
journal, December 2019

  • Balakirev, Fedor F.; Ennaceur, Susan M.; Migliori, Robert J.
  • Review of Scientific Instruments, Vol. 90, Issue 12
  • DOI: 10.1063/1.5123165

Ueber die Beziehung zwischen den beiden Elasticitätsconstanten isotroper Körper
journal, January 1889


A variational approach to the theory of the elastic behaviour of polycrystals
journal, October 1962


Linear Versus Nonlinear Acoustic Probing of Plasticity in Metals: A Quantitative Assessment
journal, November 2018

  • Espinoza, Carolina; Feliú, Daniel; Aguilar, Claudio
  • Materials, Vol. 11, Issue 11
  • DOI: 10.3390/ma11112217

Texture Development During Wire Drawing
journal, July 1990

  • Mathur, K. K.; Dawson, P. R.
  • Journal of Engineering Materials and Technology, Vol. 112, Issue 3
  • DOI: 10.1115/1.2903326

Texture analysis in hexagonal materials
journal, July 2003


Evaluation of the transmission line model for couplant layer corrections in pulse-echo measurements
journal, May 2013

  • Sturtevant, Blake; Pantea, Cristian; Sinha, Dipen
  • IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, Vol. 60, Issue 5
  • DOI: 10.1109/tuffc.2013.2651

Elastic constant determination of unidirectional composite via ultrasonic bulk wave through transmission measurements: A review
journal, August 2018


The high temperature bulk modulus of aluminium: an assessment using experimental enthalpy and thermal expansion data
journal, June 2002


Continuum micro-mechanics of elastoplastic polycrystals
journal, April 1965


Texture analysis with the new HIPPO TOF diffractometer
journal, December 2003

  • Wenk, H. -R.; Lutterotti, L.; Vogel, S.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 515, Issue 3
  • DOI: 10.1016/j.nima.2003.05.001

Texture evolution and its simulation of cold drawing copper wires produced by continuous casting
journal, January 2011


Acoustic study of texture in polycrystalline brass
journal, May 1999

  • Foster, K.; Fairburn, S. L.; Leisure, R. G.
  • The Journal of the Acoustical Society of America, Vol. 105, Issue 5
  • DOI: 10.1121/1.426882

Fiber Textures of Extruded Aluminum Alloy Rod
journal, January 1964


An Algorithm for Least-Squares Estimation of Nonlinear Parameters
journal, June 1963

  • Marquardt, Donald W.
  • Journal of the Society for Industrial and Applied Mathematics, Vol. 11, Issue 2
  • DOI: 10.1137/0111030

Elastic moduli of δ-Pu 239 reveal aging in real time
journal, March 2017

  • Maiorov, Boris; Betts, Jonathan B.; Söderlind, Per
  • Journal of Applied Physics, Vol. 121, Issue 12
  • DOI: 10.1063/1.4978509

Texture Analysis by Neutron Diffraction
journal, May 1994


Polycrystal thermo-elasticity revisited: theory and applications
journal, January 2020

  • Tomé, Carlos N.; Lebensohn, Ricardo A.
  • Comptes Rendus. Mécanique, Vol. 348, Issue 10-11
  • DOI: 10.5802/crmeca.18

Determination of pole figure coverage for texture measurements with neutron time-of-flight diffractometers
journal, June 2018


A method for the solution of certain non-linear problems in least squares
journal, January 1944

  • Levenberg, Kenneth
  • Quarterly of Applied Mathematics, Vol. 2, Issue 2
  • DOI: 10.1090/qam/10666

Microstructure and Texture of Hydrostatic Extrusion Deformed Ni Single Crystals and Polycrystal
journal, January 2015

  • Jakubowska, D.; Zdunek, J.; Kulczyk, M.
  • Advances in Materials Science and Engineering, Vol. 2015
  • DOI: 10.1155/2015/613839

Resonant ultrasound spectroscopic techniques for measurement of the elastic moduli of solids
journal, January 1993


A six-axis robotic sample changer for high-throughput neutron powder diffraction and texture measurements
journal, November 2014

  • Losko, Adrian S.; Vogel, Sven C.; Reiche, H. Matthias
  • Journal of Applied Crystallography, Vol. 47, Issue 6
  • DOI: 10.1107/S1600576714021797

Implementation of a modern resonant ultrasound spectroscopy system for the measurement of the elastic moduli of small solid specimens
journal, December 2005

  • Migliori, Albert; Maynard, J. D.
  • Review of Scientific Instruments, Vol. 76, Issue 12
  • DOI: 10.1063/1.2140494

Rapid measurement of volumetric texture using resonant ultrasound spectroscopy
journal, December 2018


Weak elastic anisotropy
journal, October 1986


In situ monitoring of dislocation proliferation during plastic deformation using ultrasound
journal, October 2017

  • Salinas, Vicente; Aguilar, Claudio; Espinoza-González, Rodrigo
  • International Journal of Plasticity, Vol. 97
  • DOI: 10.1016/j.ijplas.2017.06.001

Applications of electron backscatter diffraction to materials science: status in 2009
journal, August 2009


Texture measurements using the new neutron diffractometer HIPPO and their analysis using the Rietveld method
journal, March 2004

  • Vogel, Sven C.; Hartig, Christian; Lutterotti, Luca
  • Powder Diffraction, Vol. 19, Issue 1
  • DOI: 10.1154/1.1649961

Polycrystalline effects on irradiation creep and growth in textured zirconium
journal, April 1985


The Strength and Ductility of 5483 Aluminium Alloy Processed by Various SPD Methods
journal, July 2013


Elastic anisotropy of crystals
journal, September 2016


An Approximation Method for the Determination of the Elastic Constants of Single Crystals
journal, September 1954

  • Neighbours, John R.
  • The Journal of the Acoustical Society of America, Vol. 26, Issue 5
  • DOI: 10.1121/1.1907431

On the determination of sound speeds in cubic crystals and isotropic media using a broadband ultrasonic point‐source/point‐receiver method
journal, March 1993

  • Kim, Kwang Yul; Sachse, Wolfgang; Every, A. G.
  • The Journal of the Acoustical Society of America, Vol. 93, Issue 3
  • DOI: 10.1121/1.405426

A variational approach to the theory of the elastic behaviour of multiphase materials
journal, March 1963


Digital ultrasonic pulse-echo overlap system and algorithm for unambiguous determination of pulse transit time
journal, November 2005

  • Pantea, Cristian; Rickel, Dwight G.; Migliori, Albert
  • Review of Scientific Instruments, Vol. 76, Issue 11
  • DOI: 10.1063/1.2130715

Standard project for pole-figure determination by neutron diffraction
journal, October 1991


Effect of Current in the EDM Machining of Aluminum 6061 T6 and its Effect on the Surface Morphology
journal, March 2014

  • Arooj, Samra; Shah, Masood; Sadiq, Shahid
  • Arabian Journal for Science and Engineering, Vol. 39, Issue 5
  • DOI: 10.1007/s13369-014-1020-z

The Los Alamos Neutron Science Center
journal, June 2006

  • Lisowski, Paul W.; Schoenberg, Kurt F.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 562, Issue 2
  • DOI: 10.1016/j.nima.2006.02.178

Microstructure and mechanical properties of duplex stainless steel subjected to hydrostatic extrusion
journal, July 2014


A profile refinement method for nuclear and magnetic structures
journal, June 1969


Texture evaluation in warm deformation of an extruded Mg–6Al–3Zn alloy
journal, June 2016


Rietveld texture analysis from TOF neutron diffraction data
journal, September 2010

  • Wenk, H. -R.; Lutterotti, L.; Vogel, S. C.
  • Powder Diffraction, Vol. 25, Issue 3
  • DOI: 10.1154/1.3479004

Third-Order Elastic Constants of Aluminum
journal, November 1968


Combined texture and structure analysis of deformed limestone from time-of-flight neutron diffraction spectra
journal, January 1997

  • Lutterotti, L.; Matthies, S.; Wenk, H. -R.
  • Journal of Applied Physics, Vol. 81, Issue 2
  • DOI: 10.1063/1.364220

Microstructure and texture development during hydrostatic extrusion of magnesium alloy AZ31
journal, July 2005


X‐Ray Diffraction Methods
journal, May 1941