Ultrasonic testing is a promising alternative quality inspection technique to the expensive microscopic imaging to characterize metal matrix nanocomposites. However, due to the complexity of the wave–microstructure interaction, and the difficulty in fabricating nanocomposites of different microstructural features, it is very challenging to build reliable relationships between ultrasonic testing results and nanocomposites quality. In this research, we propose a microstructure modeling and wave propagation simulation method to simulate ultrasonic attenuation characteristic for A206–Al2O3 metal matrix nanocomposites (MMNCs). In particular, a modified Voronoi diagram is used to reproduce the microstructures and the numeric method elastodynamic finite integration technique (EFIT) is used to simulate the wave propagation through the generated microstructures. Linear mixed effects model (LME) is used to quantify the between-curve variation of ultrasonic attenuation from both experiment and simulation. Permutation test is employed to quantify the similarity of the quantified variation between experiment and simulation. This research supports the experimental results through the simulation approach and provides a better understanding of the relationship between attenuation curves and the microstructures.
Issue Section:
Research Papers
References
References
1.
Choi
, H.
Cho
, W.-H.
Konishi
, H.
Kou
, S.
Li
, X.
2013
, “Nanoparticle-Induced Superior Hot Tearing Resistance of A206 Alloy
,” Metall. Mater. Trans. A
, 44
(4
), pp. 1897
–1907
.10.1007/s11661-012-1531-82.
Wu
, J.
Zhou
, S.
Li
, X.
2013
, “Acoustic Emission Monitoring for Ultrasonic Cavitation Based Dispersion Process
,” ASME J. Manuf. Sci. Eng.
, 135
(3
), p. 031015
.10.1115/1.40240413.
Wu
, J.
Zhou
, S.
Li
, X.
2015
, “Ultrasonic Attenuation Based Inspection Method for Scale-Up Production of A206–Al2O3 Metal Matrix Nanocomposites
,” ASME J. Manuf. Sci. Eng.
, 137
(1
), p. 011013
.10.1115/1.40281284.
Sun
, Y.
2012
, “Microstructure Modification by Nanoparticles in Aluminum and Magnesium Matrix Nanocomposites
,” Master's thesis, University of Wisconsin–Madison, Madison, WI.5.
Ghavam
, K.
Bagheriasl
, R.
Worswick
, M. J.
2013
, “Analysis of Nonisothermal Deep Drawing of Aluminum Alloy Sheet With Induced Anisotropy and Rate Sensitivity at Elevated Temperatures
,” ASME J. Manuf. Sci. Eng.
, 136
(1
), p. 011006
.10.1115/1.40254076.
Lou
, M.
Li
, Y. B.
Li
, Y. T.
Chen
, G. L.
2013
, “Behavior and Quality Evaluation of Electroplastic Self-Piercing Riveting of Aluminum Alloy and Advanced High Strength Steel
,” ASME J. Manuf. Sci. Eng.
, 135
(1
), p. 011005
.10.1115/1.40232567.
Yang
, Y.
Li
, X.
2007
, “Ultrasonic Cavitation-Based Nanomanufacturing of Bulk Aluminum Matrix Nanocomposites
,” ASME J. Manuf. Sci. Eng.
, 129
(2
), pp. 252
–255
.10.1115/1.21940648.
Li
, X.
Yang
, Y.
Weiss
, D.
2008
, “Theoretical and Experimental Study on Ultrasonic Dispersion of Nanoparticles for Strengthening Cast Aluminum Alloy A356
,” Met. Sci. Technol.
, 26
(2
), pp. 12
–20
.9.
Drury
, J. C.
2004
, Ultrasonic Flaw Detection for Technicians
, Silverwing Limited
, Swansea, UK
.10.
Ying
, Y.
2012
, “A Data-Driven Framework for Ultrasonic Structural Health Monitoring of Pipes
,” Ph.D. thesis, Carnegie Mellon University, Pittsburgh, PA.11.
Schmerr
, L. W.
1998
, Fundamentals of Ultrasonic Nondestructive Evaluation: A Modeling Approach
, Plenum Press
, New York
.12.
Krautkrämer
, J.
Krautkrämer
, H.
1990
, Ultrasonic Testing of Materials
, Springer Science & Business Media
, New York
.13.
Szilard
, J.
1982
, Ultrasonic Testing: Non-Conventional Testing Techniques
, Wiley
, New York
.14.
Lowet
, G.
Van der Perre
, G.
1996
, “Ultrasound Velocity Measurement in Long Bones: Measurement Method and Simulation of Ultrasound Wave Propagation
,” J. Biomech.
, 29
(10
), pp. 1255
–1262
.10.1016/0021-9290(96)00054-115.
Mathieu
, V.
Anagnostou
, F.
Soffer
, E.
Haiat
, G.
2011
, “Numerical Simulation of Ultrasonic Wave Propagation for the Evaluation of Dental Implant Biomechanical Stability
,” J. Acoust. Soc. Am.
, 129
(6
), pp. 4062
–4072
.10.1121/1.358678816.
Sears
, F. M.
Bonner
, B. P.
1981
, “Ultrasonic Attenuation Measurement by Spectral Ratios Utilizing Signal Processing Techniques
,” IEEE Trans. Geosci. Remote Sens.
, 19
(2
), pp. 95
–99
.10.1109/TGRS.1981.35035917.
Li
, M.
Landers
, R. G.
Leu
, M. C.
2014
, “Modeling, Analysis, and Simulation of Paste Freezing in Freeze-Form Extrusion Fabrication of Thin-Wall Parts
,” ASME J. Manuf. Sci. Eng.
, 136
(6
), p. 061003
.10.1115/1.402857718.
Niu
, L.
Cao
, H.
He
, Z.
Li
, Y.
2014
, “Dynamic Modeling and Vibration Response Simulation for High Speed Rolling Ball Bearings With Localized Surface Defects in Raceways
,” ASME J. Manuf. Sci. Eng.
, 136
(4
), p. 041015
.10.1115/1.402733419.
Shen
, N.
Ding
, H.
2014
, “Physics-Based Microstructure Simulation for Drilled Hole Surface in Hardened Steel
,” ASME J. Manuf. Sci. Eng.
, 136
(4
), p. 044504
.10.1115/1.402773220.
Virieux
, J.
1986
, “P-SV Wave Propagation in Heterogeneous Media: Velocity–Stress Finite-Difference Method
,” Geophysics
, 51
(4
), pp. 889
–901
.10.1190/1.144214721.
Kampanis
, N. A.
Dougalis
, V.
Ekaterinaris
, J. A.
2008
, Effective Computational Methods for Wave Propagation
, CRC Press
, Boca Raton, FL
.22.
Bossy
, E.
Grimal
, Q.
2011
, “Numerical Methods for Ultrasonic Bone Characterization
,” Bone Quantitative Ultrasound
, Springer
, New York
, pp. 181
–228
.10.1007/978-94-007-0017-8_823.
Fellinger
, P.
Marklein
, R.
Langenberg
, K.
Klaholz
, S.
1995
, “Numerical Modeling of Elastic Wave Propagation and Scattering With EFIT—Elastodynamic Finite Integration Technique
,” Wave Motion
, 21
(1
), pp. 47
–66
.10.1016/0165-2125(94)00040-C24.
Haïat
, G.
Naili
, S.
Grimal
, Q.
Talmant
, M.
Desceliers
, C.
Soize
, C.
2009
, “Influence of a Gradient of Material Properties on Ultrasonic Wave Propagation in Cortical Bone: Application to Axial Transmission
,” J. Acoust. Soc. Am.
, 125
(6
), pp. 4043
–4052
.10.1121/1.311744525.
Protopappas
, V. C.
Kourtis
, I. C.
Kourtis
, L. C.
Malizos
, K. N.
Massalas
, C. V.
Fotiadis
, D. I.
2007
, “Three-Dimensional Finite Element Modeling of Guided Ultrasound Wave Propagation in Intact and Healing Long Bones
,” J. Acoust. Soc. Am.
, 121
(6
), pp. 3907
–3921
.10.1121/1.235406726.
Gopalakrishnan
, S.
Chakraborty
, A.
Mahapatra
, D. R.
2007
, Spectral Finite Element Method: Wave Propagation, Diagnostics and Control in Anisotropic and Inhomogeneous Structures
, Springer
, New York
.27.
Bossy
, E.
Laugier
, P.
Peyrin
, F.
Padilla
, F.
2007
, “Attenuation in Trabecular Bone: A Comparison Between Numerical Simulation and Experimental Results in Human Femur
,” J. Acoust. Soc. Am.
, 122
(4
), pp. 2469
–2475
.10.1121/1.276677928.
Leckey
, C. A.
Miller
, C. A.
Hinders
, M. K.
2011
, “3D Ultrasonic Wave Simulations for Structural Health Monitoring
,” Report No. NF1676L-13045.29.
Guz
, I. A.
Rushchitsky
, J.
2007
, “Computational Simulation of Harmonic Wave Propagation in Fibrous Micro-and Nanocomposites
,” Compos. Sci. Technol.
, 67
(5
), pp. 861
–866
.10.1016/j.compscitech.2006.01.03230.
Maio
, L.
Memmolo
, V.
Ricci
, F.
Boffa
, N.
Monaco
, E.
Pecora
, R.
2015
, “Ultrasonic Wave Propagation in Composite Laminates by Numerical Simulation
,” Compos. Struct.
, 121
, pp. 64
–74
.10.1016/j.compstruct.2014.10.01431.
Yang
, Y.
Lan
, J.
Li
, X.
2004
, “Study on Bulk Aluminum Matrix Nano-Composite Fabricated by Ultrasonic Dispersion of Nano-Sized SiC Particles in Molten Aluminum Alloy
,” Mater. Sci. Eng. A
, 380
(1
), pp. 378
–383
.10.1016/j.msea.2004.03.07332.
Nave
, M.
Dahle
, A.
St John
, D.
The Role of Zinc in the Eutectic Solidification of Magnesium–Aluminium–Zinc Alloys
,” Magnesium Technology 2000, the Minerals, Metals, and Materials Society, pp. 243
–250
.33.
Ghosh
, S.
Nowak
, Z.
Lee
, K.
1997
, “Quantitative Characterization and Modeling of Composite Microstructures by Voronoi Cells
,” Acta Mater.
, 45
(6
), pp. 2215
–2234
.10.1016/S1359-6454(96)00365-534.
Fan
, Z.
Wu
, Y.
Zhao
, X.
Lu
, Y.
2004
, “Simulation of Polycrystalline Structure With Voronoi Diagram in Laguerre Geometry Based on Random Closed Packing of Spheres
,” Comput. Mater. Sci.
, 29
(3
), pp. 301
–308
.10.1016/j.commatsci.2003.10.00635.
Du
, Q.
Faber
, V.
Gunzburger
, M.
1999
, “Centroidal Voronoi Tessellations: Applications and Algorithms
,” SIAM Rev.
, 41
(4
), pp. 637
–676
.10.1137/S003614459935283636.
Suzudo
, T.
Kaburaki
, H.
2009
, “An Evolutional Approach to the Numerical Construction of Polycrystalline Structures Using the Voronoi Tessellation
,” Phys. Lett. A
, 373
(48
), pp. 4484
–4488
.10.1016/j.physleta.2009.09.07237.
Krautkrämer
, J.
Krautkrämer
, H.
1983
, Ultrasonic Testing of Materials
, Springer
, New York
.38.
Chassignole
, B.
El Guerjouma
, R.
Ploix
, M.-A.
Fouquet
, T.
2010
, “Ultrasonic and Structural Characterization of Anisotropic Austenitic Stainless Steel Welds: Towards a Higher Reliability in Ultrasonic Non-Destructive Testing
,” NDT & E Int.
, 43
(4
), pp. 273
–282
.10.1016/j.ndteint.2009.12.00539.
Chinta
, P. K.
Kleinert
, W.
2014
, Elastic Wave Modeling in Complex Geometries Using Elastodynamic Finite Integration Technique
, 11th European Conference on Non-Destructive Testing (ECNDT 2014)
, Prague, Czech Republic, Oct. 6–10.40.
Villagomez
, C.
Medina
, L.
Pereira
, W.
2012
, “Open Source Acoustic Wave Solver of Elastodynamic Equations for Heterogeneous Isotropic Media
,” IEEE International on Ultrasonics Symposium (IUS)
, pp. 1521
–1524
.41.
Zheng
, R.
Le
, L. H.
Sacchi
, M. D.
Ta
, D.
Lou
, E.
2007
, “Spectral Ratio Method to Estimate Broadband Ultrasound Attenuation of Cortical Bones In Vitro Using Multiple Reflections
,” Phys. Med. Biol.
, 52
(19
), p. 5855
.10.1088/0031-9155/52/19/00842.
Grin
, Y.
Wagner
, F. R.
Armbrüster
, M.
Kohout
, M.
Leithe-Jasper
, A.
Schwarz
, U.
Wedig
, U.
von Schnering
, H. G.
2006
, “CuAl 2 Revisited: Composition, Crystal Structure, Chemical Bonding, Compressibility and Raman Spectroscopy
,” J. Solid State Chem.
, 179
(6
), pp. 1707
–1719
.10.1016/j.jssc.2006.03.00643.
Zhou
, W.
Liu
, L.
Li
, B.
Song
, Q.
Wu
, P.
2009
, “Structural, Elastic, and Electronic Properties of Al–Cu Intermetallic From First-Principles Calculations
,” J. Electron. Mater.
, 38
(2
), pp. 356
–364
.10.1007/s11664-008-0587-044.
Gałecki
, A.
Burzykowski
, T.
2013
, Linear Mixed-Effects Models Using R: A Step-By-Step Approach
, Springer
, New York
.45.
Pinheiro
, J. C.
Bates
, D. M.
2000
, Mixed-Effects Models in S and S-PLUS
, Springer Science & Business Media
, New York
.46.
Anderson
, T. W.
2003
, An Introduction to Multivariate Statistical Analysis
, Wiley
, New York
.47.
48.
Benjamini
, Y.
Hochberg
, Y.
1995
, “Controlling the False Discovery Rate: A Practical and Powerful Approach to Multiple Testing
,” J. R. Stat. Soc. Ser. B (Methodological)
, 57
(1
), pp. 289
–300
.http://www.jstor.org/stable/234610149.
Virieux
, J.
1984
, “SH-Wave Propagation in Heterogeneous Media: Velocity–Stress Finite-Difference Method
,” Geophysics
, 49
(11
), pp. 1933
–1942
.10.1190/1.1441605
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