A new mechanism for low and temperature-independent elastic modulus

Zhang, Liangxiang; Wang, Dong; Ren, Xiaobing; Wang, Yunzhi

doi:10.1038/srep11477

A new mechanism for low and temperature-independent elastic modulus

Journal Article · Thu Jun 25 00:00:00 EDT 2015 · Scientific Reports

DOI:https://doi.org/10.1038/srep11477· OSTI ID:1459343

Zhang, Liangxiang ^[1]; Wang, Dong ^[2]; Ren, Xiaobing ^[3]; Wang, Yunzhi ^[4]

Xi'an Jiaotong Univ., Xi'an (China); Department of Materials Science and Engineering, The Ohio State University, 2041 College Road, Columbus, OH 43210, USA
Xi'an Jiaotong Univ., Xi'an (China)
Xi'an Jiaotong Univ., Xi'an (China); National Institute for Materials Science, Ibaraki (Japan)
Xi'an Jiaotong Univ., Xi'an (China); The Ohio State Univ., Columbus, OH (United States)

The first Elinvar alloy, FeNiCr, which has invariant elastic modulus over a wide temperature range, was discovered almost 100 years ago by Guillaume. The physical origin of such an anomaly has been attributed to the magnetic phase transition taking place in the system. However, the recent discovery of non-magnetic Elinvar such as multi-functional β-type Ti alloys has imposed a new challenge to the existing theories. In this study we show that random field from stress-carrying defects could suppress the sharp first-order martensitic transformation into a continuous strain glass transition, leading to continued formation and confined growth of nano-domains of martensite in a broad temperature range. Accompanying such a unique transition, there is a gradual softening of the elastic modulus over a wide temperature range, which compensates the normal modulus hardening due to anharmonic atomic vibration, resulting in a low and temperature-independent elastic modulus. As a result, the abundance of austenite/martensite interfaces are found responsible for the low elastic modulus.

View Accepted Manuscript (DOE)

Research Organization:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0001258

OSTI ID:: 1459343

Journal Information:: Scientific Reports, Journal Name: Scientific Reports Journal Issue: 1 Vol. 5; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

References (45)

Three-dimensional phase field model of low-symmetry martensitic transformation in polycrystal: simulation of ζ′2 martensite in AuCd alloys Jin, Y. M.; Artemev, A.; Khachaturyan, A. G. Acta Materialia, Vol. 49, Issue 12 https://doi.org/10.1016/s1359-6454(01)00108-2	journal	July 2001
Three-dimensional field model and computer modeling of martensitic transformations Wang, Y.; Khachaturyan, A. G. Acta Materialia, Vol. 45, Issue 2 https://doi.org/10.1016/s1359-6454(96)00180-2	journal	February 1997
Coherent structural transformations in random crystalline systems Semenovskaya, S.; Khachaturyan, A. G. Acta Materialia, Vol. 45, Issue 10 https://doi.org/10.1016/s1359-6454(97)00071-2	journal	October 1997
Strain glass transition in a multifunctional β-type Ti alloy Wang, Yu; Gao, Jinghui; Wu, Haijun Scientific Reports, Vol. 4, Issue 1 https://doi.org/10.1038/srep03995	journal	February 2014
The temperature dependence of the isothermal bulk modulus at 1bar pressure Garai, J.; Laugier, A. Journal of Applied Physics, Vol. 101, Issue 2 https://doi.org/10.1063/1.2424535	journal	January 2007
The Anomaly of the Nickel-Steels Guillaume, Charles Edouard Proceedings of the Physical Society of London, Vol. 32, Issue 1 https://doi.org/10.1088/1478-7814/32/1/337	journal	December 1919
Effects of disorder in ferroelastics: A spin model for strain glass Vasseur, Romain; Lookman, Turab Physical Review B, Vol. 81, Issue 9 https://doi.org/10.1103/physrevb.81.094107	journal	March 2010
Influence of Elastic Anisotropy on Structural Nanoscale Textures Lloveras, Pol; Castán, Teresa; Porta, Marcel Physical Review Letters, Vol. 100, Issue 16 https://doi.org/10.1103/physrevlett.100.165707	journal	April 2008
Modeling Abnormal Strain States in Ferroelastic Systems: The Role of Point Defects Wang, Dong; Wang, Yunzhi; Zhang, Zhen Physical Review Letters, Vol. 105, Issue 20 https://doi.org/10.1103/physrevlett.105.205702	journal	November 2010
Spin-glass nature of tweed precursors in martensitic transformations Kartha, Sivan; Castán, Teresa; Krumhansl, James A. Physical Review Letters, Vol. 67, Issue 25 https://doi.org/10.1103/physrevlett.67.3630	journal	December 1991
Antiferromagnetic Elinvar-Type Alloys in the Mn–Ni–Cr System Masumoto, Hakaru; Sawaya, Shôhachi; Kikuchi, Michio Transactions of the Japan Institute of Metals, Vol. 14, Issue 4 https://doi.org/10.2320/matertrans1960.14.251	journal	January 1973
Giant ΔE effect and elinvar characteristics in amorphous FeB binary alloys Kikuchi, M.; Fukamichi, K.; Masumoto, T. Physica Status Solidi (a), Vol. 48, Issue 1 https://doi.org/10.1002/pssa.2210480122	journal	July 1978
Is “strain glass” a nanodomain frozen transition?: Is “strain glass” a nanodomain frozen transition? Liu, Jiayi; Jin, Xuejun physica status solidi (b), Vol. 251, Issue 10 https://doi.org/10.1002/pssb.201350356	journal	April 2014
Recent progress in relaxor ferroelectrics with perovskite structure Bokov, A. A.; Ye, Z. -G. Journal of Materials Science, Vol. 41, Issue 1 https://doi.org/10.1007/s10853-005-5915-7	journal	January 2006
On spinodal decomposition Cahn, John W. Acta Metallurgica, Vol. 9, Issue 9 https://doi.org/10.1016/0001-6160(61)90182-1	journal	September 1961
Elastic constants as they relate to lattice properties and martensite formation Nakanishi, N. Progress in Materials Science, Vol. 24 https://doi.org/10.1016/0079-6425(79)90005-7	journal	January 1980
Symmetry, texture and the recoverable strain of shape-memory polycrystals Bhattacharya, K.; Kohn, R. V. Acta Materialia, Vol. 44, Issue 2 https://doi.org/10.1016/1359-6454(95)00198-0	journal	February 1996
Three-dimensional phase field model of proper martensitic transformation Artemev, A.; Jin, Y.; Khachaturyan, A. G. Acta Materialia, Vol. 49, Issue 7 https://doi.org/10.1016/S1359-6454(01)00021-0	journal	April 2001
Three-dimensional field model and computer modeling of martensitic transformations Wang, Y.; Khachaturyan, A. G. Acta Materialia, Vol. 45, Issue 2 https://doi.org/10.1016/S1359-6454(96)00180-2	journal	February 1997
Coherent structural transformations in random crystalline systems Semenovskaya, S.; Khachaturyan, A. G. Acta Materialia, Vol. 45, Issue 10 https://doi.org/10.1016/S1359-6454(97)00071-2	journal	October 1997
Phase field modeling of defects and deformation Wang, Yunzhi; Li, Ju Acta Materialia, Vol. 58, Issue 4 https://doi.org/10.1016/j.actamat.2009.10.041	journal	February 2010
Evolution of the relaxation spectrum during the strain glass transition of Ti48.5Ni51.5 alloy Wang, Yu; Zhou, Yumei; Zhang, Jian Acta Materialia, Vol. 58, Issue 14 https://doi.org/10.1016/j.actamat.2010.05.009	journal	August 2010
Strain glass in Fe-doped Ti–Ni Wang, Dong; Zhang, Zhen; Zhang, Jian Acta Materialia, Vol. 58, Issue 18 https://doi.org/10.1016/j.actamat.2010.07.040	journal	October 2010
Superelasticity of slim hysteresis over a wide temperature range by nanodomains of martensite Wang, Dong; Hou, Sen; Wang, Yu Acta Materialia, Vol. 66 https://doi.org/10.1016/j.actamat.2013.11.022	journal	March 2014
Structural anelasticity, elasticity and broken ergodicity in Ni–Ti shape memory alloys Kustov, S.; Salas, D.; Cesari, E. Acta Materialia, Vol. 73 https://doi.org/10.1016/j.actamat.2014.04.010	journal	July 2014
Temperature compensating Elinvar character in Fe–Mn–Si alloys Zhang, Yansheng; Tian, Xing; Qin, Zuoxiang Journal of Magnetism and Magnetic Materials, Vol. 324, Issue 5 https://doi.org/10.1016/j.jmmm.2011.10.001	journal	March 2012
Modeling Materials Tadmor, Ellad B.; Miller, Ronald E. Cambridge University Press https://doi.org/10.1017/CBO9781139003582	book	January 2011
New intrinsic mechanism on gum-like superelasticity of multifunctional alloys Liu, Jia-Peng; Wang, Yan-Dong; Hao, Yu-Lin Scientific Reports, Vol. 3, Issue 1 https://doi.org/10.1038/srep02156	journal	July 2013
A climbing image nudged elastic band method for finding saddle points and minimum energy paths Henkelman, Graeme; Uberuaga, Blas P.; Jónsson, Hannes The Journal of Chemical Physics, Vol. 113, Issue 22, p. 9901-9904 https://doi.org/10.1063/1.1329672	journal	December 2000
Free Energy of a Nonuniform System. I. Interfacial Free Energy Cahn, John W.; Hilliard, John E. The Journal of Chemical Physics, Vol. 28, Issue 2 https://doi.org/10.1063/1.1744102	journal	February 1958
Elinvar‐type behavior in the alloy Fe ₇₈ Mo ₂ B ₂₀ Tyagi, S.; Lord, A. E. Applied Physics Letters, Vol. 34, Issue 8 https://doi.org/10.1063/1.90854	journal	April 1979
An unusual Nobel Prize Cahn, Robert W. Notes and Records of the Royal Society, Vol. 59, Issue 2 https://doi.org/10.1098/rsnr.2004.0082	journal	May 2005
Exponential Temperature Dependence of Young's Modulus for Several Oxides Wachtman, J. B.; Tefft, W. E.; Lam, D. G. Physical Review, Vol. 122, Issue 6 https://doi.org/10.1103/PhysRev.122.1754	journal	June 1961
Derivation of Wachtman's Equation for the Temperature Dependence of Elastic Moduli of Oxide Compounds Anderson, Orson L. Physical Review, Vol. 144, Issue 2 https://doi.org/10.1103/PhysRev.144.553	journal	April 1966
Effects of disorder in ferroelastics: A spin model for strain glass Vasseur, Romain; Lookman, Turab Physical Review B, Vol. 81, Issue 9 https://doi.org/10.1103/PhysRevB.81.094107	journal	March 2010
Phase diagram of Ti 50 − x Ni 50 + x : Crossover from martensite to strain glass Zhang, Zhen; Wang, Yu; Wang, Dong Physical Review B, Vol. 81, Issue 22 https://doi.org/10.1103/PhysRevB.81.224102	journal	June 2010
Phase diagram of polar states in doped ferroelectric systems Wang, Dong; Ke, Xiaoqin; Wang, Yunzhi Physical Review B, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevB.86.054120	journal	August 2012
Phase diagram of ferroelastic systems in the presence of disorder: Analytical model and experimental verification Vasseur, R.; Xue, D.; Zhou, Y. Physical Review B, Vol. 86, Issue 18 https://doi.org/10.1103/PhysRevB.86.184103	journal	November 2012
Influence of Elastic Anisotropy on Structural Nanoscale Textures Lloveras, Pol; Castán, Teresa; Porta, Marcel Physical Review Letters, Vol. 100, Issue 16 https://doi.org/10.1103/PhysRevLett.100.165707	journal	April 2008
Modeling Abnormal Strain States in Ferroelastic Systems: The Role of Point Defects Wang, Dong; Wang, Yunzhi; Zhang, Zhen Physical Review Letters, Vol. 105, Issue 20 https://doi.org/10.1103/PhysRevLett.105.205702	journal	November 2010
Spin-glass nature of tweed precursors in martensitic transformations Kartha, Sivan; Castán, Teresa; Krumhansl, James A. Physical Review Letters, Vol. 67, Issue 25 https://doi.org/10.1103/PhysRevLett.67.3630	journal	December 1991
Evidence for Strain Glass in the Ferroelastic-Martensitic System Ti 50 − x Ni 50 + x Sarkar, Shampa; Ren, Xiaobing; Otsuka, Kazuhiro Physical Review Letters, Vol. 95, Issue 20 https://doi.org/10.1103/PhysRevLett.95.205702	journal	November 2005
Invar and Elinvar amorphous alloys Fukamichi, K.; Masumoto, T.; Kikuchi, M. IEEE Transactions on Magnetics, Vol. 15, Issue 6 https://doi.org/10.1109/TMAG.1979.1060425	journal	November 1979
Multifunctional Alloys Obtained via a Dislocation-Free Plastic Deformation Mechanism Saito, T. Science, Vol. 300, Issue 5618 https://doi.org/10.1126/science.1081957	journal	April 2003
Strain-Glass Revisited Kustov, S.; Salas, D.; Cesari, E. Materials Science Forum, Vol. 738-739 https://doi.org/10.4028/www.scientific.net/MSF.738-739.274	journal	January 2013

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