Self-similar random process and chaotic behavior in serrated flow of high entropy alloys

Chen, Shuying; Yu, Liping; Ren, Jingli; Xie, Xie; Li, Xueping; Xu, Ying; Zhao, Guangfeng; Li, Peizhen; Yang, Fuqian; Ren, Yang; Liaw, Peter K.

doi:10.1038/srep29798

Title: Self-similar random process and chaotic behavior in serrated flow of high entropy alloys

Journal Article · Wed Jul 20 00:00:00 EDT 2016 · Scientific Reports

DOI:https://doi.org/10.1038/srep29798· OSTI ID:1341016

Chen, Shuying ^[1]; Yu, Liping ^[2]; Ren, Jingli ^[2]; Xie, Xie ^[1]; Li, Xueping ^[2]; Xu, Ying ^[2]; Zhao, Guangfeng ^[3]; Li, Peizhen ^[3]; Yang, Fuqian ^[3]; Ren, Yang ^[4]; Liaw, Peter K. ^[1]

The Univ. of Tennessee, Knoxville, TN (United States)
Zhengzhou Univ. (China)
Univ. of Kentucky, Lexington, KY (United States)
Argonne National Lab. (ANL), Argonne, IL (United States)

Here, the statistical and dynamic analyses of the serrated-flow behavior in the nanoindentation of a high-entropy alloy, Al_0.5CoCrCuFeNi, at various holding times and temperatures, are performed to reveal the hidden order associated with the seemingly-irregular intermittent flow. Two distinct types of dynamics are identified in the high-entropy alloy, which are based on the chaotic time-series, approximate entropy, fractal dimension, and Hurst exponent. The dynamic plastic behavior at both room temperature and 200 °C exhibits a positive Lyapunov exponent, suggesting that the underlying dynamics is chaotic. The fractal dimension of the indentation depth increases with the increase of temperature, and there is an inflection at the holding time of 10 s at the same temperature. A large fractal dimension suggests the concurrent nucleation of a large number of slip bands. In particular, for the indentation with the holding time of 10 s at room temperature, the slip process evolves as a self-similar random process with a weak negative correlation similar to a random walk.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Fossil Energy (FE); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division; National Science Foundation (NSF); National Natural Science Foundation of China (NSFC); U.S. Army Research Laboratory - U.S. Army Research Office (ARO)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1341016

Journal Information:: Scientific Reports, Vol. 6; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 20 works

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References (55)

Nanostructured High-Entropy Alloys with Multiple Principal Elements: Novel Alloy Design Concepts and Outcomes Yeh, J.-W.; Chen, S.-K.; Lin, S.-J. Advanced Engineering Materials, Vol. 6, Issue 5, p. 299-303 https://doi.org/10.1002/adem.200300567	journal	May 2004
Microstructural development in equiatomic multicomponent alloys Cantor, B.; Chang, I. T. H.; Knight, P. Materials Science and Engineering: A, Vol. 375-377 https://doi.org/10.1016/j.msea.2003.10.257	journal	July 2004
Microstructures and properties of high-entropy alloys Zhang, Yong; Zuo, Ting Ting; Tang, Zhi Progress in Materials Science, Vol. 61 https://doi.org/10.1016/j.pmatsci.2013.10.001	journal	April 2014
A fracture-resistant high-entropy alloy for cryogenic applications Gludovatz, B.; Hohenwarter, A.; Catoor, D. Science, Vol. 345, Issue 6201 https://doi.org/10.1126/science.1254581	journal	September 2014
Deviation from high-entropy configurations in the atomic distributions of a multi-principal-element alloy Santodonato, Louis J.; Zhang, Yang; Feygenson, Mikhail Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms6964	journal	January 2015
Accelerated exploration of multi-principal element alloys with solid solution phases Senkov, O. N.; Miller, J. D.; Miracle, D. B. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms7529	journal	March 2015
Ultrastrong ductile and stable high-entropy alloys at small scales Zou, Yu; Ma, Huan; Spolenak, Ralph Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms8748	journal	July 2015
Nanoscale origins of the damage tolerance of the high-entropy alloy CrMnFeCoNi Zhang, ZiJiao; Mao, M. M.; Wang, Jiangwei Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms10143	journal	December 2015
Entropy-stabilized oxides Rost, Christina M.; Sachet, Edward; Borman, Trent Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms9485	journal	September 2015
High-entropy Alloys with High Saturation Magnetization, Electrical Resistivity and Malleability Zhang, Yong; Zuo, TingTing; Cheng, YongQiang Scientific Reports, Vol. 3, Issue 1 https://doi.org/10.1038/srep01455	journal	March 2013
Influence of chemical disorder on energy dissipation and defect evolution in concentrated solid solution alloys Zhang, Yanwen; Stocks, G. Malcolm; Jin, Ke Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms9736	journal	October 2015
Solid-Solution Phase Formation Rules for Multi-component Alloys Zhang, Y.; Zhou, Y. J.; Lin, J. P. Advanced Engineering Materials, Vol. 10, Issue 6, p. 534-538 https://doi.org/10.1002/adem.200700240	journal	June 2008
High-Entropy Alloys Gao, Michael C.; Yeh, Jien-Wei; Liaw, Peter K. https://doi.org/10.1007/978-3-319-27013-5	book	January 2016
Fatigue behavior of Al0.5CoCrCuFeNi high entropy alloys Hemphill, M. A.; Yuan, T.; Wang, G. Y. Acta Materialia, Vol. 60, Issue 16 https://doi.org/10.1016/j.actamat.2012.06.046	journal	September 2012
Local Atomic Structure of a High-Entropy Alloy: An X-Ray and Neutron Scattering Study Guo, Wei; Dmowski, Wojciech; Noh, Ji-Yong Metallurgical and Materials Transactions A, Vol. 44, Issue 5 https://doi.org/10.1007/s11661-012-1474-0	journal	November 2012
Refractory high-entropy alloys Senkov, O. N.; Wilks, G. B.; Miracle, D. B. Intermetallics, Vol. 18, Issue 9 https://doi.org/10.1016/j.intermet.2010.05.014	journal	September 2010
Microstructure and room temperature properties of a high-entropy TaNbHfZrTi alloy Senkov, O. N.; Scott, J. M.; Senkova, S. V. Journal of Alloys and Compounds, Vol. 509, Issue 20 https://doi.org/10.1016/j.jallcom.2011.02.171	journal	May 2011
Microstructures and Crackling Noise of AlxNbTiMoV High Entropy Alloys Chen, Shu; Yang, Xiao; Dahmen, Karin Entropy, Vol. 16, Issue 2 https://doi.org/10.3390/e16020870	journal	February 2014
Effect of Aluminum Content on Plasma-Nitrided Al x CoCrCuFeNi High-Entropy Alloys Tang, Wei-Yeh; Yeh, Jien-Wei Metallurgical and Materials Transactions A, Vol. 40, Issue 6 https://doi.org/10.1007/s11661-009-9821-5	journal	April 2009
Effects of Temperature on Serrated Flows of Al0.5CoCrCuFeNi High-Entropy Alloy Chen, Shuying; Xie, Xie; Chen, Bilin JOM, Vol. 67, Issue 10 https://doi.org/10.1007/s11837-015-1580-8	journal	August 2015
Fatigue behavior of a wrought Al0.5CoCrCuFeNi two-phase high-entropy alloy Tang, Zhi; Yuan, Tao; Tsai, Che-Wei Acta Materialia, Vol. 99 https://doi.org/10.1016/j.actamat.2015.07.004	journal	October 2015
High-Entropy Alloys with a Hexagonal Close-Packed Structure Designed by Equi-Atomic Alloy Strategy and Binary Phase Diagrams Takeuchi, Akira; Amiya, Kenji; Wada, Takeshi JOM, Vol. 66, Issue 10 https://doi.org/10.1007/s11837-014-1085-x	journal	July 2014
A Novel Low-Density, High-Hardness, High-entropy Alloy with Close-packed Single-phase Nanocrystalline Structures Youssef, Khaled M.; Zaddach, Alexander J.; Niu, Changning Materials Research Letters, Vol. 3, Issue 2 https://doi.org/10.1080/21663831.2014.985855	journal	December 2014
High-Entropy Alloys: A Critical Review Tsai, Ming-Hung; Yeh, Jien-Wei Materials Research Letters, Vol. 2, Issue 3 https://doi.org/10.1080/21663831.2014.912690	journal	April 2014
Mechanical properties of Nb25Mo25Ta25W25 and V20Nb20Mo20Ta20W20 refractory high entropy alloys Senkov, O. N.; Wilks, G. B.; Scott, J. M. Intermetallics, Vol. 19, Issue 5 https://doi.org/10.1016/j.intermet.2011.01.004	journal	May 2011
Microstructure and wear behavior of AlxCo1.5CrFeNi1.5Tiy high-entropy alloys Chuang, Ming-Hao; Tsai, Ming-Hung; Wang, Woei-Ren Acta Materialia, Vol. 59, Issue 16 https://doi.org/10.1016/j.actamat.2011.06.041	journal	September 2011
Microstructure and corrosion resistance of AlCrFeCuCo high entropy alloy Qiu, Xing-Wu; Zhang, Yun-Peng; He, Li Journal of Alloys and Compounds, Vol. 549 https://doi.org/10.1016/j.jallcom.2012.09.091	journal	February 2013
Alloying and Processing Effects on the Aqueous Corrosion Behavior of High-Entropy Alloys Tang, Zhi; Huang, Lu; He, Wei Entropy, Vol. 16, Issue 2 https://doi.org/10.3390/e16020895	journal	February 2014
Microstructure and elevated temperature properties of a refractory TaNbHfZrTi alloy Senkov, O. N.; Scott, J. M.; Senkova, S. V. Journal of Materials Science, Vol. 47, Issue 9 https://doi.org/10.1007/s10853-012-6260-2	journal	January 2012
Nanoindentation characterized initial creep behavior of a high-entropy-based alloy CoFeNi Wang, Zhijun; Guo, Sheng; Wang, Qing Intermetallics, Vol. 53 https://doi.org/10.1016/j.intermet.2014.05.007	journal	October 2014
Nanotwin's formation and growth in an AlCoCuFeNi high-entropy alloy Yu, P. F.; Cheng, H.; Zhang, L. J. Scripta Materialia, Vol. 114 https://doi.org/10.1016/j.scriptamat.2015.11.032	journal	March 2016
Effects of high pressure torsion on microstructures and properties of an Al0.1CoCrFeNi high-entropy alloy Yu, P. F.; Cheng, H.; Zhang, L. J. Materials Science and Engineering: A, Vol. 655 https://doi.org/10.1016/j.msea.2015.12.085	journal	February 2016
Manipulation of free volumes in a metallic glass through Xe-ion irradiation Bian, X. L.; Wang, G.; Chen, H. C. Acta Materialia, Vol. 106 https://doi.org/10.1016/j.actamat.2016.01.002	journal	March 2016
Measuring residual stress in ceramic zirconia–porcelain dental crowns by nanoindentation Zhang, Y.; Allahkarami, M.; Hanan, J. C. Journal of the Mechanical Behavior of Biomedical Materials, Vol. 6 https://doi.org/10.1016/j.jmbbm.2011.11.006	journal	February 2012
Influences of residual stresses on the serrated flow in bulk metallic glass under elastostatic four-point bending – A nanoindentation and atomic force microscopy study Haag, Fabian; Beitelschmidt, Denise; Eckert, Jürgen Acta Materialia, Vol. 70 https://doi.org/10.1016/j.actamat.2014.01.053	journal	May 2014
Microstructural Characteristics and Mechanical Behaviors of AlCoCrFeNi High-Entropy Alloys at Ambient and Cryogenic Temperatures Qiao, Jun Wei; Ma, S. G.; Huang, E. W. Materials Science Forum, Vol. 688 https://doi.org/10.4028/www.scientific.net/MSF.688.419	journal	June 2011
Mechanical performance of the Al x CoCrCuFeNi high-entropy alloy system with multiprincipal elements Tong, Chung-Jin; Chen, Min-Rui; Yeh, Jien-Wei Metallurgical and Materials Transactions A, Vol. 36, Issue 5 https://doi.org/10.1007/s11661-005-0218-9	journal	May 2005
Temperature Effects on Deformation and Serration Behavior of High-Entropy Alloys (HEAs) Antonaglia, J.; Xie, X.; Tang, Z. JOM, Vol. 66, Issue 10 https://doi.org/10.1007/s11837-014-1130-9	journal	September 2014
Independent coordinates for strange attractors from mutual information Fraser, Andrew M.; Swinney, Harry L. Physical Review A, Vol. 33, Issue 2 https://doi.org/10.1103/PhysRevA.33.1134	journal	February 1986
Practical method for determining the minimum embedding dimension of a scalar time series Cao, Liangyue Physica D: Nonlinear Phenomena, Vol. 110, Issue 1-2 https://doi.org/10.1016/S0167-2789(97)00118-8	journal	December 1997
Determining Lyapunov exponents from a time series Wolf, Alan; Swift, Jack B.; Swinney, Harry L. Physica D: Nonlinear Phenomena, Vol. 16, Issue 3 https://doi.org/10.1016/0167-2789(85)90011-9	journal	July 1985
Hidden order in serrated flow of metallic glasses Sarmah, Ritupan; Ananthakrishna, G.; Sun, B. A. Acta Materialia, Vol. 59, Issue 11 https://doi.org/10.1016/j.actamat.2011.03.071	journal	June 2011
Dynamics of serrated flow in a bulk metallic glass Ren, J. L.; Chen, C.; Wang, G. AIP Advances, Vol. 1, Issue 3 https://doi.org/10.1063/1.3643218	journal	September 2011
Various sizes of sliding event bursts in the plastic flow of metallic glasses based on a spatiotemporal dynamic model Ren, Jingli; Chen, Cun; Wang, Gang Journal of Applied Physics, Vol. 116, Issue 3 https://doi.org/10.1063/1.4890720	journal	July 2014
Plastic dynamics transition between chaotic and self-organized critical states in a glassy metal via a multifractal intermediate Ren, J. L.; Chen, C.; Liu, Z. Y. Physical Review B, Vol. 86, Issue 13 https://doi.org/10.1103/PhysRevB.86.134303	journal	October 2012
Approximate entropy as a measure of system complexity. Pincus, S. M. Proceedings of the National Academy of Sciences, Vol. 88, Issue 6 https://doi.org/10.1073/pnas.88.6.2297	journal	March 1991
Scaling behavior and complexity of plastic deformation for a bulk metallic glass at cryogenic temperatures Chen, Cun; Ren, Jingli; Wang, Gang Physical Review E, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevE.92.012113	journal	July 2015
Mosaic organization of DNA nucleotides Peng, C. -K.; Buldyrev, S. V.; Havlin, S. Physical Review E, Vol. 49, Issue 2 https://doi.org/10.1103/PhysRevE.49.1685	journal	February 1994
Effect of trends on detrended fluctuation analysis Hu, Kun; Ivanov, Plamen Ch.; Chen, Zhi Physical Review E, Vol. 64, Issue 1 https://doi.org/10.1103/PhysRevE.64.011114	journal	June 2001
Effect of nonstationarities on detrended fluctuation analysis Chen, Zhi; Ivanov, Plamen Ch.; Hu, Kun Physical Review E, Vol. 65, Issue 4 https://doi.org/10.1103/PhysRevE.65.041107	journal	April 2002
Multifractal Burst in the Spatiotemporal Dynamics of Jerky Flow Bharathi, M. S.; Lebyodkin, M.; Ananthakrishna, G. Physical Review Letters, Vol. 87, Issue 16 https://doi.org/10.1103/PhysRevLett.87.165508	journal	October 2001
Fractal nature of multiple shear bands in severely deformed metallic glass Sun, B. A.; Wang, W. H. Applied Physics Letters, Vol. 98, Issue 20 https://doi.org/10.1063/1.3592249	journal	May 2011
Stochastic Models That Separate Fractal Dimension and the Hurst Effect Gneiting, Tilmann; Schlather, Martin SIAM Review, Vol. 46, Issue 2 https://doi.org/10.1137/S0036144501394387	journal	January 2004
Long-range anticorrelations and non-Gaussian behavior of the heartbeat Peng, C. -K.; Mietus, J.; Hausdorff, J. M. Physical Review Letters, Vol. 70, Issue 9 https://doi.org/10.1103/physrevlett.70.1343	journal	March 1993
Ultrastrong ductile and stable high-entropy alloys at small scales Zou, Yu; Ma, Huan; Spolenak, Ralph ETH Zurich https://doi.org/10.3929/ethz-b-000103476	text	January 2015

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