Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-23T03:16:46.345Z Has data issue: false hasContentIssue false

High-temperature materials for structural applications: New perspectives on high-entropy alloys, bulk metallic glasses, and nanomaterials

Published online by Cambridge University Press:  06 November 2019

E-Wen Huang
Affiliation:
National Chiao Tung University, Taiwan; [email protected]
Peter K. Liaw
Affiliation:
The University of Tennessee, USA; [email protected]

Abstract

Tougher, lighter, and more formable and machinable metals for broader ranges of applications at higher temperatures are needed now more than ever. High-performance computing, high-resolution microscopy, and advanced spectroscopy methods, including neutrons and synchrotron x-rays, together with advances in metallurgy and metal mixology, reveal the potential of multicomponent advanced metals, such as multicomponent bulk metallic glasses and advanced high-entropy alloys. The development of new experimental approaches relates bulk properties and voxel-associated optimized properties throughout structures with high resolution. The correlations from in situ measurements greatly improve crystal plasticity-based models. This issue of MRS Bulletin overviews recent progress in the field, and this article highlights the importance of these new perspectives. The latest progress and directions in the science and technology for prospective high-temperature metals for structural applications are reported.

Type
High-Temperature Materials for Structural Applications
Copyright
Copyright © Materials Research Society 2019 

Introduction

Advances in engines and other applications with high-temperature requirements have been constrained by our limited ability to garner heat losses and improve performance metrics by optimization. In addition, materials researchers are pursuing advanced metallic materials to answer the challenging strength–ductility dilemma. Due to the advantages of their higher toughness and predictable fracture behavior, metals, such as aluminum and titanium alloys, have been used in aerospace applications.Reference Lu1 Recent elevated-temperature alloy developments have raised the bar on high-temperature stability through advances in precipitation hardening and microstructure design.

Besides the conventional perspectives for high-temperature metals for structural applications,Reference Stoloff, Liu and Deevi2Reference Ashby and Greer6 new demands for emergent businesses and industries have arisen. For example, while new power technologies have surpassed coal in addressing global warming,Reference Jewell, Vinichenko, Nacke and Cherp7Reference Oberschelp, Pfister, Raptis and Hellweg9 the development of high-temperature alloys for structural applications directly improves thermal efficiency and reduces greenhouse gas emissions, such as those alloys used in ultra-supercritical coal plants that utilize supercritical fluids and reduce air pollution.Reference Chu and Majumdar1012 Because increased operating pressures and temperatures are needed, the US Department of Energy Fossil Energy Program requires an increase in the steam temperature for ultra-supercritical steam turbinesReference Bhadeshia13 of the coal plants. The increasing need for boilers and other high-temperature metals demands the development of superalloys for elevated-temperature applications.Reference Darolia14

New high-temperature materials are currently approaching 70% or higher of their absolute melting temperatures, which is the upper limit to resist creep and vacancy formation. In structural applications, materials capable of performing under these temperatures, as defined by their percentage of their absolute melting temperatures, are designated “superalloys.” Advances in combustion performance, structural performance, or other performance metrics for a variety of applications are hampered by the lack of availability of alloys that are stable at high temperatures. Although researchers have pushed the envelope on these new alloys, and the world needs to further push for the next generation of alloys.

New perspectives

The Gartner Hype Cycle,Reference Fenn and Blosch15 which helps industries and companies predict the maturity and adoption of technologies and applications, reports several new applications that need structural materials for higher operational temperatures, such as additive manufacturing and the Unmanned Aircraft System. In general, metallic systems in aerospace applications need to balance specific strength, creep resistance, and environmental stability.Reference Subramanian, Mendiratta and Dimiduk16 The Leading Edge Aviation Propulsion (LEAP) is the first jet engine that includes three-dimensional (3D) printed fuel nozzles of a Co-Cr superalloy.17,18 On June 14, 2017, the Airbus corporation delivered the first LEAP-1A-powered A320neo aircraft to EasyJet.Reference Dubon19 Compared to its predecessor, the A320neo saves up to 15% in fuel and reduces up to 15% CO2 emissions.20 Because of the new integrated unibody geometry of the LEAP-1A, the noise of A320neo on takeoff and landing decreased by approximately 50%.

Today, a science-based systems-engineering approach is necessary to achieve such design objectives for advanced high-temperature materials. A hierarchy of computational and experimental tools needs to be integrated for the design of prototype alloys.Reference Seifi, Salem, Beuth, Harrysson and Lewandowski21 As an example, in 2019, ANSYS, which develops and markets the engineering simulation software, acquired Granta Design,Reference Smithyman22 co-founded by Ashby and Cebon, a provider of the materials information technology using professional big data to develop such hierarchical computational tools to integrate materials properties into spatially resolved system simulations.

Why metal mixology?

In 2014, Gludovatz et al. reported that the CoCrFeMnNi high-entropy alloy (HEA),Reference Gludovatz, Hohenwarter, Catoor, Chang, George and Ritchie24 which contain late transition metals such as Fe, Ni, Co, and Cu, was one of the best fracture-resistant materials for cryogenic applications.Reference Gludovatz, Hohenwarter, Catoor, Chang, George and Ritchie24 Senkov et al. later designed refractory HEAs, which primarily consist of five or more refractory elements, and showed superior properties for high-temperature applications.Reference Senkov, Wilks, Miracle, Chuang and Liaw25 The high-temperature strengths of several refractory HEAs and conventional stainless steel, aluminum, titanium, and nickel-based alloys are compared in Figure 1. Most of the refractory HEAs are significantly higher in strength (Table I). Senkov et al. suggest the solid solution strengthens the metallic systems.Reference Senkov, Wilks, Miracle, Chuang and Liaw25

Figure 1. Yield strength (σ0.2) of several refractory high-entropy alloysReference Senkov, Wilks, Miracle, Chuang and Liaw25Reference Zhang, Yang and Liaw39 (HEAs) and conventional stainless steel, aluminum, titanium, and nickel-based alloys. As potential high-temperature materials for structural applications, the HEAs show greater strength. Thermodynamic and mechanical properties for these single-phase and multiphase HEAs are summarized in Reference 40.

Table I. Yield strength (YS) values for alloys listed in Figure 1.

Continued improvements in yield strength (Figure 1) require a systematic approach to facilitate age-hardening effects for HEAs. Age hardening is the most widely used means for strengthening metal alloys. This strengthening mechanism relies more on the precipitation of desirable phases than on hardening from uniform dispersions. Strain fields introduced by the lattice mismatch between the precipitates and homogeneous matrix pin dislocations and act as a barrier to dislocation motion.Reference Huang, Liaw, Porcar, Liu, Liu, Kai and Chen41

In their article in this issue, Cao et al. reportReference Cao, Yang, Liu and Liu42 the application of precipitation strengthening in HEAs. HEAs with multiple principal elementsReference Yeh, Chen, Lin, Gan, Chin, Shun, Tsau and Chang23,Reference Zhang, Zuo, Tang, Gao, Dahmen, Liaw and Lu43 have shown great potential as a new class of metal mixology for high-temperature applications.Reference Senkov, Wilks, Miracle, Chuang and Liaw25,Reference Miracle and Senkov44 In their article, Inoue et al.Reference Inoue, Kong, Zhu and Greer45 describe the latest progress in metallic alloys with elevated-temperature resistance in the form of glassy/amorphous structures, such as bulk metallic glass materials, rather than a crystalline structure. By introducing specific crystalline phases in an amorphous matrix (Figure 2),Reference Huang, Qiao, Winiarski, Lee, Scheel, Chuang, Liaw, Lo, Zhang and Di Michiel46 BMG-composite materials demonstrate improved plasticity and toughness when compared to monolithic amorphous materials.Reference Wang47Reference Qiao, Jia and Liaw49

Figure 2. Zr58.5Ti14.3Nb5.2Cu6.1Ni4.9Be11 bulk metallic glass matrix composite. (Insets) Diffraction patterns corresponding to the respective boxed areas.

In situ high-temperature measurements using neutrons and synchrotron x-rays

Spallation neutron sources have the advantage of illuminating multiple diffractions for texture-sensitive studies of materials as well as nano-precipitate diffraction. In particular, a main advantage of the in situ neutron environment is the possibility of investigating the evolution of microstructures since identical specimens are monitored during the entire experimental time and are subjected to the changes of the control parameters. Moreover, most of the neutron-diffraction instruments are equipped with the strobing software, such as the VULCAN Data Reduction and Interactive Visualization softwarE (VDRIVE)Reference An50 of VULCAN at the Spallation Neutron Source (SNS) of Oak Ridge National Laboratory (ORNL), which can reduce the data at the end of each test and is much more useful. The strobing system is a continuously run software utilizing event-based data acquisition where each neutron carries a time stamp. In this case, diffraction data can be collected continuously and binned later according to the desired time scale. Besides studying conventional materials, advanced in situ neutron diffraction would be useful in studying HEAs.Reference Lee, Song, Gao, Feng, Chen, Brechtl, Chen, An, Guo, Poplawsky, Li, Samaei, Chen, Hu, Choo and Liaw51Reference Diao, Ma, Feng, Liu, Pu, Zhang, Guo, Poplawsky, Gao and Liaw53

TAKUMI,Reference Harjo, Ito, Aizawa, Arima, Abe, Moriai, Iwahashi and Kamiyama54 a materials engineering diffractometer located in Japan at the Japan Proton Accelerator Research Complex, is another spallation-neutron-source diffractometer that is capable of various in situ environments, including elevated-temperature measurements. TAKUMI’s orientation-dependent data-acquisition function can couple various detectors (Figure 3a). Figure 3b shows the high-temperature heating setup for TAKUMI for in situ loading. Figure 3c shows the spatially resolved temperature mapping for the sample and the environment; meanwhile, additional thermocouples are attached on the sample to measure the temperatures.

Figure 3. (a) The TAKUMI instrument (Republic of Korea); (b) load frame equipped with a high-temperature chamber; and (c) temperature-mapping monitor.Reference Harjo, Ito, Aizawa, Arima, Abe, Moriai, Iwahashi and Kamiyama54

Besides VULCAN and TAKUMI, the Spectrometer for Materials Research at Temperature and Stress at the Los Alamos Neutron Science CenterReference Bourke, Dunand and Ustundag55 in the United States, and ENGIN-XReference Santisteban, Daymond, James and Edwards56 of the ISIS at the Rutherford Appleton Laboratory in the United Kingdom are also capable of similar types of measurements. For a reactor-based neutron diffractometer, the Residual Stress Instrument (RSI) installed at the High-Flux Advanced Neutron Application Reactor (HANARO) of the Korea Atomic Energy Research Institute (KAERI), is a wide-angle neutron diffractometer optimized for strain–stress scanning and deformation behavior studies for polycrystalline metals and alloysReference Woo, Huang, Yeh, Choo, Lee and Tu57 (Figure 4).

Figure 4. Three different environmental temperature setups for measuring the residual stress in the High-Flux Advanced Neutron Application Reactor (HANARO): (a) room-temperature, (b) high-temperature, and (c) low-temperature in situ measurements. Note: T, temperature.

Similarly, synchrotron x-rays can also illuminate the microstructure with high penetration. For in situ heating experiments, the Taiwan Photon Source (TPS) in Taiwan has two stations.Reference Liu, Chen, Chen, Chiu, Chou, Huang, Fann, Kuo, Lee and Liang58 The x-ray nano-diffraction (TPS-21A) provides spatially resolved mapping for elements, phases, orientation, residual strain–stress, and dislocations at a resolution of 100 × 100 × 50 nm.Reference Chen, Dejoie, Jiang, Ku and Tamura59 For high-temperature heating, temporally coherent x-ray diffraction (TPS-09A) can heat the samples up to almost 1200 K.Reference Tsai, Chang, Wu, Lee, Liu and Chang60 In addition to studying conventional alloys, advanced synchrotron x-ray diffraction can be effective in investigating HEAs.Reference Guo, Dmowski, Noh, Rack and Liaw61,Reference Cheng, Zhang, Lou, Chen, Liaw, Yan, Zeng, Ding and Zeng62

Several neutron and synchrotron x-ray instruments have been reviewed elsewhere.Reference Calder, An, Boehler, Dela Cruz, Frontzek, Guthrie, Haberl, Huq, Kimber, Liu, Molaison, Neuefeind, Page, dos Santos, Taddei, Tulk and Tucker63 Based on the different perspectives of heating effects, various in situ measurements can be applied. Crystallographic slip and associated dislocation activities during deformation at different temperatures can be revealed using these instruments. By refining the diffraction profiles with the general structure analysis software, peak components enable the investigation of dislocations and the average distance between patterned-dislocation structures,Reference Huang, Barabash, Clausen, Liu, Kai, Ice, Woods and Liaw64 which will be useful for probing the plastic behavior of HEAs.

Besides advancements in high-temperature experimental environments, Agnew et al. and Tome et al.’s self-consistent model couples bulk properties and diffraction data, enabling crystal-plasticity-based investigations.Reference Agnew, Tomé, Brown, Holden and Vogel65 A self-consistent model compares the internal strains within a polycrystalline alloy measured during deformation testing by in situ neutron diffraction. Using Tome’s self-consistent simulation code, information about the operation of slip and mechanical twinning modes as a function of strain can be obtained. In their article in this issue, Wang et al. reportReference Wang, Li, Li, Proust, Gan, Yan, Tang, Wu and Peng66 modeling twinning, detwinning, and dynamic recrystallization of magnesium alloys.

In the age of artificial intelligence and machine learning

A group from Rolls-Royce and the University of Cambridge recently reported the successful use of a neural network to design high-temperature molybdenum-based HEAs.Reference Conduit, Jones, Stone and Conduit67 Their artificial intelligence (AI) tool evaluated the cost, phase stability, precipitate content, yield stress, and hardness simultaneously, and their experimental results validated that the predicted alloy fulfills the computational predictions. Tshitoyan et al. report a machine-learning algorithm that successfully identifies and predicts emerging fields within the broad materials field without guidance from humans.Reference Tshitoyan, Dagdelen, Weston, Dunn, Rong, Kononova, Persson, Ceder and Jain68 Their material informatics system integrates high-throughput experiments, computations, and data-driven methods from 3.3 million published abstracts, which enable new materials design. The AI technology thus effectively saves time when compared to traditional methods used by humans. For materials development, the Materials Genome Initiative has shown significant progress in the computational simulation and modeling of materials.Reference Green, Choi, Hattrick-Simpers, Joshi, Takeuchi, Barron, Campo, Chiang, Empedocles, Gregoire, Kusne, Martin, Mehta, Persson, Trautt, Van Duren and Zakutayev69

Although text mining does demonstrate superior capability for materials discovery,Reference Tshitoyan, Dagdelen, Weston, Dunn, Rong, Kononova, Persson, Ceder and Jain68 most data are from traditional experiments. Hence, the data domain is limited by conventional measurements, such as microstructure images. Meanwhile, the types of data collected from various instruments and with different resolutions, such as neutrons and high-energy synchrotron x-rays, are different from what is collected from traditional routine measurements. An advanced photon source can penetrate bulk materials, which can yield complementary ensemble average with a much greater sample size.

With the advances in synchrotron x-ray and neutron facilities, the neutron and synchrotron x-ray diffractometers are being equipped with load frames, a furnace, and other various sample environments. Hence, real-time in situ diffraction measurements are possible using these facilities. For example, VULCANReference Wang, Holden, Rennich, Stoica, Liaw, Choo and Hubbard70Reference Huang, Yu, Yeh, Lee, An and Tu72 is dedicated to studying the mechanical behavior of materials at the SNS of ORNL. The special feature of this diverse sample environment bridges traditional mechanical tests and the underlying microstructure characterizations. In their article in this issue, An et al.Reference An, Chen and Stoica73 demonstrate several unique examples of in situ measurements, which now are routine operations of VULCAN.

Extension of the AI technology to correlate in situ advanced light-source results, traditional protocols, and high-throughput examinations is expected in future elevated-temperature materials development, including HEAs.Reference Kim, Diao, Lee, Samaei, Phan, Jong, An, Ma, Liaw and Chen74

Further advances and opportunities

New metallurgical routes facilitating nanotechnology to explore the new territory of high specific strength for elevated-temperature metals are expected for structural applications. Researchers fabricated bulk ultrafine-grained (UFG)/nanocrystalline metals via slow cooling by instilling a continuous nucleation and growth control mechanism during slow cooling.Reference Cao, Yao, Jiang, Sokoluk, Wang, Ciston, Javadi, Guan, De Rosa, Xie, Lavernia, Schoenung and Li75 The bulk UFG/nanocrystalline metal with nanoparticles (bulk Cu ingots with WC nanoparticles) also reveals unprecedented thermal stability up to 1023 K, which is 75% of the melting temperature of Cu. Humphry-Baker et al. established a mechanochemical reaction between solid phases for 3D printing high-specific strength metals to reduce specific strengths.Reference Humphry-Baker, Garroni, Delogu and Schuh76 Meanwhile, Lin et al. strengthen metals using UFG/nanocrystalline phases, unlike conventional microstructure-refinement methods.Reference Chen, Xu, Choi, Pozuelo, Ma, Bhowmick, Yang, Mathaudhu and Li77

Summary

This issue explores the state of the latest metal mixology for high-temperature applications. The microstructural degradation and failure mechanisms of the materials subjected to heating are reported for future applications associated with complex mechanical and thermal-loading conditions during service. The objective of this issue is to review modern tools, integrated with focused materials, to report innovative metallic systems, mainly HEAs for high-temperature applications. The issue explores advanced metallic systems of HEAs and BMGs, modern characterization, and computational tools for the development of the high-temperature metals, and creep behavior and thermal stability of some HEAs. Specifically, at higher temperatures, vacancy-induced behavior becomes critical, especially for HEAS.Reference Huang, Chou, Tu, Hung, Lam, Tsai, Chiang, Lin, Yeh, Chang, Chang, Yang, Li, Ku, An, Chang and Jao78 Lin et al.Reference Lin, Chou, Huang, Chuang, Jang and Nieh79 review some of the latest results of the creep for HEAS for this emergent field via nanoindentation technology. The content also includes alloy design, microstructure engineering, process development, machine-learning, high-throughput technology, and mechanistic modeling for deformation.

Acknowledgments

We thank C. Daniel of the Oak Ridge National Laboratory (ORNL) for his help with this introductory article. We sincerely appreciate C.-C. Kao, National Chiao Tung University. E.W.H. is grateful for the financial support of the Ministry of Science and Technology (Taiwan) Program Nos. 107–2628-E-009–001-MY3, 107–3017-F-007–003, and 108–2221-E-009–131-MY4. The present work was financially supported by the “High Entropy Materials Center” from The Featured Areas Research Center Program within the framework of the Higher Education Sprout Project of the Ministry of Education in Taiwan. P.K.L. appreciates support from the US Army Research Office Project Nos. W911NF-13–1-0438 and W911NF-19–2-0049 with program managers, M.P. Bakas, S.N. Mathaudhu, and D.M. Stepp. P.K.L. thanks the National Science Foundation (DMR-1611180 and 1809640) with program directors, G. Shiflet and D. Farkas. E.W.H. thanks the National Synchrotron Radiation Research Center (NSRRC) Neutron Programs.

E-Wen Huang is an associate professor in the Department of Materials Science and Engineering at National Chiao Tung University, Taiwan. He obtained his PhD degree from The University of Tennessee in 2009. He is a recipient of the Ludo Frevel Crystallography Scholarship Award from the International Centre for Diffraction Data in 2009, Young Leaders Professional Development Award from TMS in 2016, and the Ta-You Wu Memorial Award in 2017. He is an editorial board member of Scientific Reports. Huang can be reached by email at .

Peter K. Liaw is a professor and the Ivan Racheff Chair of Excellence at The University of Tennessee (UT). He is a Fellow of The Minerals, Metals & Materials Society (TMS) and ASM International. His awards include UT’s Outstanding Teacher Award, the Moses E. and Mayme Brooks Distinguished Professor Award, Engineering Research Fellow Award, National Alumni Association Distinguished Service Professor Award, the L.R. Hesler Award, the John Fisher Professorship at UT, and the TMS Distinguished Service Award. Liaw can be reached by email at .

References

Lu, K., Science 328, 319 (2010).CrossRefGoogle ScholarPubMed
Stoloff, N.S., Liu, C.T., Deevi, S.C., Intermetallics 8, 1313 (2000).CrossRefGoogle Scholar
Alamo, A., Lambard, V., Averty, X., Mathon, M.H., J. Nucl. Mater. 329, 333 (2004).Google Scholar
Darolia, R., JOM 43, 44 (1991).Google Scholar
Heilmaier, M., Krüger, M., Saage, H., Rösler, J., Mukherji, D., Glatzel, U., Völkl, R., Hüttner, R., Eggeler, G., Somsen, Ch., Depka, T., Christ, H.-J., Gorr, B., Burk, S., JOM 61, 61 (2009).CrossRefGoogle Scholar
Ashby, M.F., Greer, A.L., Scr. Mater. 54, 321 (2006).CrossRefGoogle Scholar
Jewell, J., Vinichenko, V., Nacke, L., Cherp, A., Nat. Clim. Change 9, 592 (2019).CrossRefGoogle Scholar
Peng, W., Wagner, F., Ramana, M.V., Zhai, H., Small, M.J., Dalin, C., Zhang, X., Mauzerall, D.L., Nat. Sustain. 1, 693 (2018).CrossRefGoogle Scholar
Oberschelp, C., Pfister, S., Raptis, C.E., Hellweg, S., Nat. Sustain. 2, 113 (2019).Google Scholar
Chu, S., Majumdar, A., Nature 488, 294 (2012).CrossRefGoogle Scholar
Bright Hub Engineering, “What Is a Supercritical Power Plant?” (June 18, 2015), http://www.brighthubengineering.com/power-plants/32893-what-is-a-supercritical-power-plant.Google Scholar
Bhadeshia, H.K.D.H., ISIJ Int . 41, 626 (2001).Google Scholar
Darolia, R., Int. Mater. Rev. 64, 355 (2019).CrossRefGoogle Scholar
Subramanian, P.R., Mendiratta, M.G., Dimiduk, D.M., JOM 48, 33 (1996).CrossRefGoogle Scholar
Seifi, M., Salem, A., Beuth, J., Harrysson, O., Lewandowski, J.J., JOM 68, 747 (2016).CrossRefGoogle Scholar
Yeh, J.-W., Chen, S.-K., Lin, S.-J., Gan, J.-Y., Chin, T.-S., Shun, T.-T., Tsau, C.-H., Chang, S.-Y., Adv. Eng. Mater. 6, 299 (2004).Google Scholar
Gludovatz, B., Hohenwarter, A., Catoor, D., Chang, E.H., George, E.P., Ritchie, R.O., Science 345, 1153 (2014).CrossRefGoogle Scholar
Senkov, O.N., Wilks, G.B., Miracle, D.B., Chuang, C.P., Liaw, P.K., Intermetallics 18, 1758 (2010).CrossRefGoogle Scholar
CES Selector software, Granta Design Limited, Cambridge, UK, (2018), www.grantadesign.com.Google Scholar
Senkov, O.N., Miracle, D.B., Chaput, K.J., Couzinie, J.-P., J. Mater. Res. 33, 3092 (2018).CrossRefGoogle Scholar
Senkov, O.N., Scott, J.M., Senkova, S.V., Miracle, D.B., Woodward, C.F., J. Alloys Compd. 509, 6043 (2011).CrossRefGoogle Scholar
Juan, C.-C., Tsai, M.-H., Tsai, C.-W., Lin, C.-M., Wang, W.-R., Yang, C.-C., Chen, S.-K., Lin, S.-J., Yeh, J.-W., Intermetallics 62, 76 (2015).CrossRefGoogle Scholar
Han, Z.D., Chen, N., Zhao, S.F., Fan, L.W., Yang, G.N., Shao, Y., Yao, K.F., Intermetallics 84, 153 (2017).Google Scholar
Senkov, O.N., Senkova, S.V., Woodward, C., Acta Mater. 68, 214 (2014).CrossRefGoogle Scholar
Jensen, J., “Characterization of a High Strength, Refractory High Entropy Alloy, AlMo0.5NbTa0.5TiZr,” PhD thesis, The Ohio State University, Columbus, OH (2017).Google Scholar
Chen, H., Kauffmann, A., Gorr, B., Schliephake, D., Seemüller, C., Wagner, J.N., Christ, H.-J., Heilmaier, M., J. Alloys Compd. 661, 206 (2016).Google Scholar
Senkov, O.N., Woodward, C.F., Mater. Sci. Eng. A 529, 311 (2011).CrossRefGoogle Scholar
Guo, N.N., Wang, L., Luo, L.S., Li, X.Z., Su, Y.Q., Guo, J.J., Fu, H.Z., Mater. Des. 81, 87 (2015).CrossRefGoogle Scholar
Liu, Y., Zhang, Y., Zhang, H., Wang, N., Chen, X., Zhang, H., Li, Y., J. Alloys Compd. 694, 869 (2017).CrossRefGoogle Scholar
Chen, H., Kauffmann, A., Laube, S., Choi, I.-C., Schwaiger, R., Huang, Y., Lichtenberg, K., Müller, F., Gorr, B., Christ, H.-J., Heilmaier, M., Metall. Mater. Trans. A 49, 772 (2017).CrossRefGoogle Scholar
Zhang, B., Gao, M.C., Zhang, Y., Yang, S., Guo, S.M., Mater. Sci. Technol. 31, 1207 (2015).CrossRefGoogle Scholar
Zhang, Y., Yang, X., Liaw, P.K., JOM 64, 830 (2012).CrossRefGoogle Scholar
Senkov, O.N., Gorsse, S., Miracle, D.B., Acta Mater . 175, 394 (2019).CrossRefGoogle Scholar
Huang, E.W., Liaw, P.K., Porcar, L., Liu, Y., Liu, Y.-L., Kai, J.-J., Chen, W.-R., Appl. Phys. Lett. 93, 161904 (2008).CrossRefGoogle Scholar
Cao, B., Yang, T., Liu, W.-J., Liu, C.T., MRS Bull . 44 (11), 854 (2019).Google Scholar
Zhang, Y., Zuo, T.T., Tang, Z., Gao, M.C., Dahmen, K.A., Liaw, P.K., Lu, Z.P., Prog. Mater. Sci. 61, 1 (2014).Google Scholar
Miracle, D.B., Senkov, O.N., Acta Mater . 122, 448 (2017).CrossRefGoogle Scholar
Inoue, A., Kong, F.L., Zhu, S.L., Greer, A.L., MRS Bull . 44 (11), 867 (2019).CrossRefGoogle Scholar
Huang, E.-W., Qiao, J., Winiarski, B., Lee, W.-J., Scheel, M., Chuang, C.-P., Liaw, P.K., Lo, Y.-C., Zhang, Y., Di Michiel, M., Sci. Rep. 4, 4394 (2014).CrossRefGoogle Scholar
Wang, W.H., Prog. Mater. Sci. 52, 540 (2007).CrossRefGoogle Scholar
Qiao, J.W., Sun, A.C., Huang, E.W., Zhang, Y., Liaw, P.K., Chuang, C.P., Acta Mater . 59, 4126 (2011).CrossRefGoogle Scholar
Qiao, J., Jia, H., Liaw, P.K., Mater. Sci. Eng. R 100, 1 (2016).CrossRefGoogle Scholar
An, K., VDRIVE-Data Reduction and Interactive Visualization Software for Event Mode Neutron Diffraction (2012).Google Scholar
Lee, C., Song, G., Gao, M.C., Feng, R., Chen, P., Brechtl, J., Chen, Y., An, K., Guo, W., Poplawsky, J.D., Li, S., Samaei, A.T., Chen, W., Hu, A., Choo, H., Liaw, P.K., Acta Mater . 160, 158 (2018).CrossRefGoogle Scholar
Santodonato, L.J., Zhang, Y., Feygenson, M., Parish, C.M., Gao, M.C., Weber, R.J.K., Neuefeind, J.C., Tang, Z., Liaw, P.K., Nat. Comm. 6, 5964 (2015).CrossRefGoogle Scholar
Diao, H., Ma, D., Feng, R., Liu, T., Pu, C., Zhang, C., Guo, W., Poplawsky, J.D., Gao, Y., Liaw, P.K., Mater. Sci. Eng. A 742, 636 (2019).CrossRefGoogle Scholar
Harjo, S., Ito, T., Aizawa, K., Arima, H., Abe, J., Moriai, A., Iwahashi, T., Kamiyama, T., Mater. Sci. Forum 681, 443 (2011).CrossRefGoogle Scholar
Bourke, M.A.M., Dunand, D.C., Ustundag, E., Appl. Phys. A 74, s1707 (2002).Google Scholar
Santisteban, J.R., Daymond, M.R., James, J.A., Edwards, L., J. Appl. Crystallogr. 39, 812 (2006).CrossRefGoogle Scholar
Woo, W., Huang, E.-W., Yeh, J.-W., Choo, H., Lee, C., Tu, S.-Y., Intermetallics 62, 1 (2015).Google Scholar
Liu, Y.-C., Chen, C.H., Chen, J.Y., Chiu, M.S., Chou, P.J., Huang, C.S., Fann, S., Kuo, C.C., Lee, T.Y., Liang, C.C., J. Phys. Conf. Ser. 874, 012020 (2017).Google Scholar
Chen, X., Dejoie, C., Jiang, T., Ku, C.-S., Tamura, N., MRS Bull . 41, 445 (2016).CrossRefGoogle Scholar
Tsai, Y.-W., Chang, Y.-Y., Wu, Y.-H., Lee, K.-Y., Liu, S.-L., Chang, S.-L., Opt. Express 24, 30360 (2016).Google Scholar
Guo, W., Dmowski, W., Noh, J.-Y., Rack, P., Liaw, P.K., Metall. Mater. Trans. A 44A, 1994 (2013).CrossRefGoogle Scholar
Cheng, B., Zhang, F., Lou, H., Chen, X., Liaw, P.K., Yan, J., Zeng, Z., Ding, Y., Zeng, Q., Scr. Mater. 161, 88 (2019).CrossRefGoogle Scholar
Calder, S., An, K., Boehler, R., Dela Cruz, C.R., Frontzek, M.D., Guthrie, M., Haberl, B., Huq, A., Kimber, S.A.J., Liu, J., Molaison, J.J., Neuefeind, J., Page, K., dos Santos, A.M., Taddei, K.M., Tulk, C., Tucker, M.G., Rev. Sci. Instrum. 89, 092701 (2018).Google Scholar
Huang, E.W., Barabash, R.I., Clausen, B., Liu, Y.-L., Kai, J.-J., Ice, G.E., Woods, K.P., Liaw, P.K., Int. J. Plast. 26, 1124 (2010).CrossRefGoogle Scholar
Agnew, S.R., Tomé, C.N., Brown, D.W., Holden, T.M., Vogel, S.C., Scr. Mater. 48, 1003 (2003).CrossRefGoogle Scholar
Wang, H., Li, S., Li, D., Proust, G., Gan, Y., Yan, K., Tang, D., Wu, P., Peng, Y., MRS Bull . 44 (11), 873 (2019).Google Scholar
Conduit, B.D., Jones, N.G., Stone, H.J., Conduit, G.J., Scr. Mater. 146, 82 (2018).CrossRefGoogle Scholar
Tshitoyan, V., Dagdelen, J., Weston, L., Dunn, A., Rong, Z., Kononova, O., Persson, K.A., Ceder, G., Jain, A., Nature 571, 95 (2019).Google Scholar
Green, M.L., Choi, C.L., Hattrick-Simpers, J.R., Joshi, A.M., Takeuchi, I., Barron, S.C., Campo, E., Chiang, T., Empedocles, S., Gregoire, J.M., Kusne, A.G., Martin, J., Mehta, A., Persson, K., Trautt, Z., Van Duren, J., Zakutayev, A., Appl. Phys. Rev. 4, 011105 (2017).CrossRefGoogle Scholar
Wang, X.L., Holden, T.M., Rennich, G.Q., Stoica, A.D., Liaw, P.K., Choo, H., Hubbard, C.R., Physica B 385–386, 673 (2006).Google Scholar
Huang, S., Gao, Y., An, K., Zheng, L., Wu, W., Teng, Z., Liaw, P.K., Acta Mater . 83, 137 (2015).Google Scholar
Huang, E.W., Yu, D., Yeh, J.-W., Lee, C., An, K., Tu, S.-Y., Scr. Mater. 101, 32 (2015).CrossRefGoogle Scholar
An, K., Chen, Y., Stoica, A.D., MRS Bull . 44 (11), 878 (2019).Google Scholar
Kim, G., Diao, H., Lee, C., Samaei, A.T., Phan, T., Jong, M., An, K., Ma, D., Liaw, P.K., Chen, W., Acta Materialia (forthcoming), https://doi.org/10.1016/j.actamat.2019.09.026.CrossRefGoogle Scholar
Cao, C., Yao, G., Jiang, L., Sokoluk, M., Wang, X., Ciston, J., Javadi, A., Guan, Z., De Rosa, I., Xie, W., Lavernia, E.J., Schoenung, J.M., Li, X., Sci. Adv. 5, eaaw2398 (2019).Google Scholar
Humphry-Baker, S.A., Garroni, S., Delogu, F., Schuh, C.A., Nat. Mater. 15, 1280 (2016).CrossRefGoogle Scholar
Chen, L.-Y., Xu, J.-Q., Choi, H., Pozuelo, M., Ma, X., Bhowmick, S., Yang, J.-M., Mathaudhu, S., Li, X.-C., Nature 528, 539 (2015).CrossRefGoogle Scholar
Huang, E.-W., Chou, H.-S., Tu, K.N., Hung, W.-S., Lam, T.-N., Tsai, C.-W., Chiang, C.-Y., Lin, B.-H., Yeh, A.-C., Chang, S.-H., Chang, Y.-J., Yang, J.-J., Li, X.-Y., Ku, C.-S., An, K., Chang, Y.-W., Jao, Y.-L., Sci. Rep. 9, 14788 (2019).CrossRefGoogle Scholar
Lin, P.H., Chou, H.S., Huang, J.C., Chuang, W.S., Jang, J.S.C., Nieh, T.G., MRS Bull . 44 (11), 860 (2019).Google Scholar
Figure 0

Figure 1. Yield strength (σ0.2) of several refractory high-entropy alloys25–39 (HEAs) and conventional stainless steel, aluminum, titanium, and nickel-based alloys. As potential high-temperature materials for structural applications, the HEAs show greater strength. Thermodynamic and mechanical properties for these single-phase and multiphase HEAs are summarized in Reference 40.

Figure 1

Table I. Yield strength (YS) values for alloys listed in Figure 1.

Figure 2

Figure 2. Zr58.5Ti14.3Nb5.2Cu6.1Ni4.9Be11 bulk metallic glass matrix composite. (Insets) Diffraction patterns corresponding to the respective boxed areas.

Figure 3

Figure 3. (a) The TAKUMI instrument (Republic of Korea); (b) load frame equipped with a high-temperature chamber; and (c) temperature-mapping monitor.54

Figure 4

Figure 4. Three different environmental temperature setups for measuring the residual stress in the High-Flux Advanced Neutron Application Reactor (HANARO): (a) room-temperature, (b) high-temperature, and (c) low-temperature in situ measurements. Note: T, temperature.