Determining elastic anisotropy of textured polycrystals using resonant ultrasound spectroscopy

Evans, Jordan A.; Sturtevant, Blake T.; Clausen, Bjørn; Vogel, Sven C.; Balakirev, Fedor F.; Betts, Jonathan B.; Capolungo, Laurent; Lebensohn, Ricardo A.; Maiorov, Boris

doi:10.1007/s10853-021-05827-z

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

Journal Article · Wed Feb 24 00:00:00 EST 2021 · Journal of Materials Science

DOI:https://doi.org/10.1007/s10853-021-05827-z· OSTI ID:1767317

Evans, Jordan A.;

;

; Betts, Jonathan B.;

;

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.

View Journal Article

Cite

Export

Save

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)

Grant/Contract Number:: LDRD 20180250ER; 89233218CNA000001; 20180250ER; DMR-1644779

OSTI ID:: 1767317

Alternate ID(s):: OSTI ID: 1835772

Report Number(s):: LA-UR-20-26566; PII: 5827

Journal Information:: Journal of Materials Science, Journal Name: Journal of Materials Science Vol. 56 Journal Issue: 16; ISSN 0022-2461

Publisher:: Springer Science + Business MediaCopyright Statement

Country of Publication:: United States

Language:: English

References (70)

The Elastic Constants Measurement of Metal Alloy by Using Ultrasonic Nondestructive Method at Different Temperature Hu, Eryi; Wang, Wenjin Mathematical Problems in Engineering, Vol. 2016 https://doi.org/10.1155/2016/6762076	journal	January 2016
Discharge current effect on machining characteristics and mechanical properties of aluminum alloy 6061 workpiece produced by electric discharging machining process Kuo, Chin-Guo; Hsu, Chun-Yao; Chen, Jung-Hsuan Advances in Mechanical Engineering, Vol. 9, Issue 11 https://doi.org/10.1177/1687814017730756	journal	November 2017
High Precision Electro Discharge Machining of Molybdenum and Tungsten Demellayer, R.; Richard, J. Procedia CIRP, Vol. 6 https://doi.org/10.1016/j.procir.2013.03.030	journal	January 2013
Microstructure and texture of asymmetrically rolled aluminium and titanium after deformation and recrystallization Wronski, M.; Wierzbanowski, K.; Wronski, S. IOP Conference Series: Materials Science and Engineering, Vol. 89 https://doi.org/10.1088/1757-899x/89/1/012050	journal	August 2015
Through thickness variations of deformation texture in round profile extrusions of 6063-type aluminium alloy: Experiments, FEM and crystal plasticity modelling Zhang, Kai; Marthinsen, Knut; Holmedal, Bjørn Materials Science and Engineering: A, Vol. 722 https://doi.org/10.1016/j.msea.2018.02.081	journal	April 2018
Anisotropic magnetocrystalline coupling of the skyrmion lattice in MnSi Luo, Yongkang; Lin, Shi-Zeng; Fobes, D. M. Physical Review B, Vol. 97, Issue 10 https://doi.org/10.1103/PhysRevB.97.104423	journal	March 2018
Direct volumetric measurement of crystallographic texture using acoustic waves Lan, Bo; Ben Britton, T.; Jun, Tea-Sung Acta Materialia, Vol. 159 https://doi.org/10.1016/j.actamat.2018.08.037	journal	October 2018
Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle . Reuss, A. ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 9, Issue 1 https://doi.org/10.1002/zamm.19290090104	journal	January 1929
Skyrmion lattice creep at ultra-low current densities Luo, Yongkang; Lin, Shi-Zeng; Leroux, Maxime Communications Materials, Vol. 1, Issue 1 https://doi.org/10.1038/s43246-020-00083-1	journal	November 2020
Texture and Anisotropy Wenk, H. -R. Reviews in Mineralogy and Geochemistry, Vol. 51, Issue 1 https://doi.org/10.2138/gsrmg.51.1.291	journal	January 2002
Bulk and local textures of pure magnesium processed by rotary swaging Gan, W. M.; Huang, Y. D.; Wang, R. Journal of Magnesium and Alloys, Vol. 1, Issue 4 https://doi.org/10.1016/j.jma.2013.12.004	journal	December 2013
Pulse Superposition Method for Measuring Ultrasonic Wave Velocities in Solids McSkimin, H. J. The Journal of the Acoustical Society of America, Vol. 33, Issue 1 https://doi.org/10.1121/1.1908386	journal	January 1961
An Approximation Method for the Determination of the Elastic Constants of Cubic Single Crystals Neighbours, J. R.; Smith, Charles S. Journal of Applied Physics, Vol. 21, Issue 12 https://doi.org/10.1063/1.1699601	journal	December 1950
Determination of Poisson’s ratios in isotropic, transversely isotropic, and orthotropic materials by means of combined ultrasonic-mechanical testing of normal stiffnesses: Application to metals and wood Kohlhauser, C.; Hellmich, C. European Journal of Mechanics - A/Solids, Vol. 33 https://doi.org/10.1016/j.euromechsol.2011.11.009	journal	May 2012
Elastic Properties of Metals and Alloys, I. Iron, Nickel, and Iron‐Nickel Alloys Ledbetter, H. M.; Reed, R. P. Journal of Physical and Chemical Reference Data, Vol. 2, Issue 3 https://doi.org/10.1063/1.3253127	journal	July 1973
Monocrystal-Polycrystal Elastic Constants of a Stainless Steel Ledbetter, H. M. Physica Status Solidi (a), Vol. 85, Issue 1 https://doi.org/10.1002/pssa.2210850111	journal	September 1984
Neutron diffraction texture analysis Brokmeier, H. G. Physica B: Condensed Matter, Vol. 234-236 https://doi.org/10.1016/S0921-4526(96)01230-6	journal	June 1997
Evolution of the Material Microstructures and Mechanical Properties of AA1100 Aluminum Alloy within a Complex Porthole Die during Extrusion Tang, Ding; Fang, Wenli; Fan, Xiaohui Materials, Vol. 12, Issue 1 https://doi.org/10.3390/ma12010016	journal	December 2018
Elastic Constants by the Ultrasonic Pulse Echo Method Eros, S.; Reitz, J. R. Journal of Applied Physics, Vol. 29, Issue 4 https://doi.org/10.1063/1.1723250	journal	April 1958
Ultrasonic Measurements on Single Crystals Huntington, H. B. Physical Review, Vol. 72, Issue 4 https://doi.org/10.1103/PhysRev.72.321	journal	August 1947
A spherical harmonic approach for the determination of HCP texture from ultrasound: A solution to the inverse problem Lan, Bo; Lowe, Michael J. S.; Dunne, Fionn P. E. Journal of the Mechanics and Physics of Solids, Vol. 83 https://doi.org/10.1016/j.jmps.2015.06.014	journal	October 2015
On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects Visscher, William M.; Migliori, Albert; Bell, Thomas M. The Journal of the Acoustical Society of America, Vol. 90, Issue 4 https://doi.org/10.1121/1.401643	journal	October 1991
Elastic constants of YCa4O(BO3)3 and NdCa4O(BO3)3 single crystals by the pulse-echo ultrasonic method Sotnikov, A.; Schmidt, H.; Weihnacht, M. 2012 IEEE International Ultrasonics Symposium https://doi.org/10.1109/Ultsym.2012.0623	conference	October 2012
Resonant ultrasound spectroscopy: The essential toolbox Balakirev, Fedor F.; Ennaceur, Susan M.; Migliori, Robert J. Review of Scientific Instruments, Vol. 90, Issue 12 https://doi.org/10.1063/1.5123165	journal	December 2019
Ueber die Beziehung zwischen den beiden Elasticitätsconstanten isotroper Körper Voigt, W. Annalen der Physik, Vol. 274, Issue 12 https://doi.org/10.1002/andp.18892741206	journal	January 1889
A variational approach to the theory of the elastic behaviour of polycrystals Hashin, Z.; Shtrikman, S. Journal of the Mechanics and Physics of Solids, Vol. 10, Issue 4 https://doi.org/10.1016/0022-5096(62)90005-4	journal	October 1962
Linear Versus Nonlinear Acoustic Probing of Plasticity in Metals: A Quantitative Assessment Espinoza, Carolina; Feliú, Daniel; Aguilar, Claudio Materials, Vol. 11, Issue 11 https://doi.org/10.3390/ma11112217	journal	November 2018
Texture Development During Wire Drawing Mathur, K. K.; Dawson, P. R. Journal of Engineering Materials and Technology, Vol. 112, Issue 3 https://doi.org/10.1115/1.2903326	journal	July 1990
Texture analysis in hexagonal materials Wang, Y. N.; Huang, J. C. Materials Chemistry and Physics, Vol. 81, Issue 1 https://doi.org/10.1016/S0254-0584(03)00168-8	journal	July 2003
Evaluation of the transmission line model for couplant layer corrections in pulse-echo measurements Sturtevant, Blake; Pantea, Cristian; Sinha, Dipen IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, Vol. 60, Issue 5 https://doi.org/10.1109/tuffc.2013.2651	journal	May 2013
Elastic constant determination of unidirectional composite via ultrasonic bulk wave through transmission measurements: A review Paterson, David A. P.; Ijomah, Winifred; Windmill, James F. C. Progress in Materials Science, Vol. 97 https://doi.org/10.1016/j.pmatsci.2018.04.001	journal	August 2018
The high temperature bulk modulus of aluminium: an assessment using experimental enthalpy and thermal expansion data Raju, S.; Sivasubramanian, K.; Mohandas, E. Solid State Communications, Vol. 122, Issue 12 https://doi.org/10.1016/S0038-1098(01)00517-8	journal	June 2002
Continuum micro-mechanics of elastoplastic polycrystals Hill, R. Journal of the Mechanics and Physics of Solids, Vol. 13, Issue 2 https://doi.org/10.1016/0022-5096(65)90023-2	journal	April 1965
Texture analysis with the new HIPPO TOF diffractometer 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 https://doi.org/10.1016/j.nima.2003.05.001	journal	December 2003
The determination of the elastic field of an ellipsoidal inclusion, and related problems Eshelby, John Douglas Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 241, Issue 1226, p. 376-396 https://doi.org/10.1098/rspa.1957.0133	journal	August 1957
Texture evolution and its simulation of cold drawing copper wires produced by continuous casting Chen, Jian; Yan, Wen; Li, Wei Transactions of Nonferrous Metals Society of China, Vol. 21, Issue 1 https://doi.org/10.1016/S1003-6326(11)60692-4	journal	January 2011
Acoustic study of texture in polycrystalline brass Foster, K.; Fairburn, S. L.; Leisure, R. G. The Journal of the Acoustical Society of America, Vol. 105, Issue 5 https://doi.org/10.1121/1.426882	journal	May 1999
Fiber Textures of Extruded Aluminum Alloy Rod Hirosawa, Eiichi Transactions of the Japan Institute of Metals, Vol. 5, Issue 4 https://doi.org/10.2320/matertrans1960.5.235	journal	January 1964
An Algorithm for Least-Squares Estimation of Nonlinear Parameters Marquardt, Donald W. Journal of the Society for Industrial and Applied Mathematics, Vol. 11, Issue 2 https://doi.org/10.1137/0111030	journal	June 1963
Elastic moduli of δ-Pu ²³⁹ reveal aging in real time Maiorov, Boris; Betts, Jonathan B.; Söderlind, Per Journal of Applied Physics, Vol. 121, Issue 12 https://doi.org/10.1063/1.4978509	journal	March 2017
Texture Analysis by Neutron Diffraction Brokmeier, Heinz Günter Materials Science Forum, Vol. 157-162 https://doi.org/10.4028/www.scientific.net/MSF.157-162.59	journal	May 1994
Polycrystal thermo-elasticity revisited: theory and applications Tomé, Carlos N.; Lebensohn, Ricardo A. Comptes Rendus. Mécanique, Vol. 348, Issue 10-11 https://doi.org/10.5802/crmeca.18	journal	January 2020
Determination of pole figure coverage for texture measurements with neutron time-of-flight diffractometers Takajo, Shigehiro; Vogel, Sven C. Journal of Applied Crystallography, Vol. 51, Issue 3 https://doi.org/10.1107/S1600576718007732	journal	June 2018
A method for the solution of certain non-linear problems in least squares Levenberg, Kenneth Quarterly of Applied Mathematics, Vol. 2, Issue 2 https://doi.org/10.1090/qam/10666	journal	January 1944
Microstructure and Texture of Hydrostatic Extrusion Deformed Ni Single Crystals and Polycrystal Jakubowska, D.; Zdunek, J.; Kulczyk, M. Advances in Materials Science and Engineering, Vol. 2015 https://doi.org/10.1155/2015/613839	journal	January 2015
Analytical homogenization of linear elasticity based on the interface orientation distribution – A complement to the self-consistent approach Kalisch, Jan; Glüge, Rainer Composite Structures, Vol. 126 https://doi.org/10.1016/j.compstruct.2015.02.072	journal	August 2015
A six-axis robotic sample changer for high-throughput neutron powder diffraction and texture measurements Losko, Adrian S.; Vogel, Sven C.; Reiche, H. Matthias Journal of Applied Crystallography, Vol. 47, Issue 6 https://doi.org/10.1107/S1600576714021797	journal	November 2014
Implementation of a modern resonant ultrasound spectroscopy system for the measurement of the elastic moduli of small solid specimens Migliori, Albert; Maynard, J. D. Review of Scientific Instruments, Vol. 76, Issue 12 https://doi.org/10.1063/1.2140494	journal	December 2005
Rapid measurement of volumetric texture using resonant ultrasound spectroscopy Lan, Bo; Carpenter, Michael A.; Gan, Weimin Scripta Materialia, Vol. 157 https://doi.org/10.1016/j.scriptamat.2018.07.029	journal	December 2018
Weak elastic anisotropy Thomsen, Leon GEOPHYSICS, Vol. 51, Issue 10 https://doi.org/10.1190/1.1442051	journal	October 1986
In situ monitoring of dislocation proliferation during plastic deformation using ultrasound Salinas, Vicente; Aguilar, Claudio; Espinoza-González, Rodrigo International Journal of Plasticity, Vol. 97 https://doi.org/10.1016/j.ijplas.2017.06.001	journal	October 2017
Applications of electron backscatter diffraction to materials science: status in 2009 Randle, Valerie Journal of Materials Science, Vol. 44, Issue 16 https://doi.org/10.1007/s10853-009-3570-0	journal	August 2009
Texture measurements using the new neutron diffractometer HIPPO and their analysis using the Rietveld method Vogel, Sven C.; Hartig, Christian; Lutterotti, Luca Powder Diffraction, Vol. 19, Issue 1 https://doi.org/10.1154/1.1649961	journal	March 2004
Polycrystalline effects on irradiation creep and growth in textured zirconium Woo, C. H. Journal of Nuclear Materials, Vol. 131, Issue 2-3 https://doi.org/10.1016/0022-3115(85)90449-0	journal	April 1985
The Strength and Ductility of 5483 Aluminium Alloy Processed by Various SPD Methods Bazarnik, Piotr; Romelczyk, Barbara; Kulczyk, Mariusz Materials Science Forum, Vol. 765 https://doi.org/10.4028/www.scientific.net/MSF.765.423	journal	July 2013
Elastic anisotropy of crystals Kube, Christopher M. AIP Advances, Vol. 6, Issue 9 https://doi.org/10.1063/1.4962996	journal	September 2016
An Approximation Method for the Determination of the Elastic Constants of Single Crystals Neighbours, John R. The Journal of the Acoustical Society of America, Vol. 26, Issue 5 https://doi.org/10.1121/1.1907431	journal	September 1954
On the determination of sound speeds in cubic crystals and isotropic media using a broadband ultrasonic point‐source/point‐receiver method Kim, Kwang Yul; Sachse, Wolfgang; Every, A. G. The Journal of the Acoustical Society of America, Vol. 93, Issue 3 https://doi.org/10.1121/1.405426	journal	March 1993
A variational approach to the theory of the elastic behaviour of multiphase materials Hashin, Z.; Shtrikman, S. Journal of the Mechanics and Physics of Solids, Vol. 11, Issue 2 https://doi.org/10.1016/0022-5096(63)90060-7	journal	March 1963
Digital ultrasonic pulse-echo overlap system and algorithm for unambiguous determination of pulse transit time Pantea, Cristian; Rickel, Dwight G.; Migliori, Albert Review of Scientific Instruments, Vol. 76, Issue 11 https://doi.org/10.1063/1.2130715	journal	November 2005
Effect of Current in the EDM Machining of Aluminum 6061 T6 and its Effect on the Surface Morphology Arooj, Samra; Shah, Masood; Sadiq, Shahid Arabian Journal for Science and Engineering, Vol. 39, Issue 5 https://doi.org/10.1007/s13369-014-1020-z	journal	March 2014
The Los Alamos Neutron Science Center 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 https://doi.org/10.1016/j.nima.2006.02.178	journal	June 2006
Microstructure and mechanical properties of duplex stainless steel subjected to hydrostatic extrusion Maj, P.; Adamczyk-Cieślak, B.; Mizera, J. Materials Characterization, Vol. 93 https://doi.org/10.1016/j.matchar.2014.03.017	journal	July 2014
A profile refinement method for nuclear and magnetic structures Rietveld, H. M. Journal of Applied Crystallography, Vol. 2, Issue 2, p. 65-71 https://doi.org/10.1107/S0021889869006558	journal	June 1969
Texture evaluation in warm deformation of an extruded Mg–6Al–3Zn alloy Kavyani, M.; Ebrahimi, G. R.; Sanjari, M. Journal of Magnesium and Alloys, Vol. 4, Issue 2 https://doi.org/10.1016/j.jma.2016.05.002	journal	June 2016
Rietveld texture analysis from TOF neutron diffraction data Wenk, H. -R.; Lutterotti, L.; Vogel, S. C. Powder Diffraction, Vol. 25, Issue 3 https://doi.org/10.1154/1.3479004	journal	September 2010
Third-Order Elastic Constants of Aluminum Thomas, J. F. Physical Review, Vol. 175, Issue 3 https://doi.org/10.1103/PhysRev.175.955	journal	November 1968
Combined texture and structure analysis of deformed limestone from time-of-flight neutron diffraction spectra Lutterotti, L.; Matthies, S.; Wenk, H. -R. Journal of Applied Physics, Vol. 81, Issue 2 https://doi.org/10.1063/1.364220	journal	January 1997
Microstructure and texture development during hydrostatic extrusion of magnesium alloy AZ31 Bohlen, J.; Yi, S. B.; Swiostek, J. Scripta Materialia, Vol. 53, Issue 2 https://doi.org/10.1016/j.scriptamat.2005.03.036	journal	July 2005
X‐Ray Diffraction Methods Warren, B. E. Journal of Applied Physics, Vol. 12, Issue 5 https://doi.org/10.1063/1.1712915	journal	May 1941

Similar Records

Lattice strains and diffraction elastic constants of cubic polycrystals

Journal Article · Tue Feb 11 00:00:00 EST 2020 · Journal of the Mechanics and Physics of Solids · OSTI ID:1767317

Zhang, Yin; Chen, Wen; McDowell, David L.; +2 more

Averaging of elastic constants for polycrystals

Journal Article · Fri Oct 13 00:00:00 EDT 2017 · Journal of Applied Physics · OSTI ID:1767317

Blaschke, Daniel N.

Resonant ultrasound spectroscopy for materials with high damping and samples of arbitrary geometry

Journal Article · Thu Jul 23 00:00:00 EDT 2015 · Journal of Geophysical Research. Solid Earth · OSTI ID:1767317

Remillieux, Marcel C.; Ulrich, T. J.; Payan, Cédric; +3 more

Related Subjects

36 MATERIALS SCIENCE
Material Science

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

Citation Formats

References (70)

Similar Records

Related Subjects