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In Situ Intermetallics-Reinforced Composite Prepared Using Multi-Pass Friction Stir Processing of Copper Powder on a Ti6Al4V Alloy. MATERIALS 2022; 15:ma15072428. [PMID: 35407759 PMCID: PMC9000171 DOI: 10.3390/ma15072428] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/24/2022] [Revised: 03/18/2022] [Accepted: 03/21/2022] [Indexed: 02/05/2023]
Abstract
Multi-pass friction stir processing (FSP) was used to obtain a titanium alloy/copper hybrid composite layer by intermixing copper powder with a Ti6Al4V alloy. A macrostructurally inhomogeneous stir zone was obtained with both its top and middle parts composed of fine dynamically recrystallized α- and β-Ti grains, as well as coarse intermetallic compounds (IMCs) of Ti2Cu and TiCu2, respectively. Some β grains experienced β → α decomposition with the formation of acicular α-Ti microstructures either inside the former β-Ti grains or at their grain boundaries. Both types of β → α decomposition were especially clearly manifested in the vicinity of the Ti2Cu grains, i.e., in the copper-lean regions. The middle part of the stir zone additionally contained large dislocation-free β-Ti grains that resulted from static recrystallization. Spinodal decomposition, as well as solid-state amorphization of copper-rich β-Ti grains, were discovered. The FSPed stir zone possessed hardness that was enhanced by 25% as compared to that of the base metal, as well as higher strength, ductility, and wear resistance than those obtained using four-pass FSPed Ti6Al4V.
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2
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El-Eskandarany MS, Ali N, Al-Ajmi F, Banyan M. Phase Transformations from Nanocrystalline to Amorphous (Zr 70Ni 25Al 5) 100-xW x (x; 0, 2, 10, 20, 35 at. %) and Subsequent Consolidation. NANOMATERIALS (BASEL, SWITZERLAND) 2021; 11:2952. [PMID: 34835716 PMCID: PMC8618145 DOI: 10.3390/nano11112952] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 10/02/2021] [Revised: 10/26/2021] [Accepted: 10/28/2021] [Indexed: 02/07/2023]
Abstract
Glasses, which date back to about 2500 BC, originated in Mesopotamia and were later brought to Egypt in approximately 1450 BC. In contrast to the long-range order materials (crystalline materials), the atoms and molecules of glasses, which are noncrystalline materials (short-range order) are not organized in a definite lattice pattern. Metallic glassy materials with amorphous structure, which are rather new members of the advanced materials family, were discovered in 1960. Due to their amorphous structure, metallic glassy alloys, particularly in the supercooled liquid region, behave differently when compared with crystalline alloys. They reveal unique and unusual mechanical, physical, and chemical characteristics that make them desirable materials for many advanced applications. Although metallic glasses can be produced using different techniques, many of these methods cannot be utilized to produce amorphous alloys when the system has high-melting temperature alloys (above 1500 °C) and/or is immiscible. As a result, such constraints may limit the ability to fabricate high-thermal stable metallic glassy families. The purpose of this research is to fabricate metallic glassy (Zr70Ni25Al5)100-xWx (x; 0, 2, 10, 20, and 35 at. %) by cold rolling the constituent powders and then mechanically alloying them in a high-energy ball mill. The as-prepared metallic glassy powders demonstrated high-thermal stability and glass forming ability, as evidenced by a broad supercooled liquid region and a high crystallization temperature. The glassy powders were then consolidated into full-dense bulk metallic glasses using a spark plasma sintering technique. This consolidation method did not result in the crystallization of the materials, as the consolidated buttons retained their short-range order fashion. Additionally, the current work demonstrated the capability of fabricating very large bulk metallic glassy buttons with diameters ranging from 20 to 50 mm. The results indicated that the microhardness of the synthesized metallic glassy alloys increased as the W concentration increased. As far as the authors are aware, this is the first time this metallic glassy system has been reported.
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Affiliation(s)
- M. Sherif El-Eskandarany
- Nanotechnology and Applications Program, Energy and Building Research Center, Kuwait Institute for Scientific Research, Safat 13109, Kuwait; (N.A.); (F.A.-A.); (M.B.)
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Aeschlimann S, Lyu L, Becker S, Mousavion S, Speck T, Elmers H, Stadtmüller B, Aeschlimann M, Bechstein R, Kühnle A. Von geordneten zu mobilen Molekülen durch Kühlen. Angew Chem Int Ed Engl 2021. [DOI: 10.1002/ange.202105100] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
- Simon Aeschlimann
- Institut für Physikalische Chemie Johannes Gutenberg-Universität Mainz Duesbergweg 10–14 55099 Mainz Deutschland
- Graduiertenschule Materials Science in Mainz Staudingerweg 9 55128 Mainz Deutschland
| | - Lu Lyu
- Fachbereich Physik und Forschungszentrum OPTIMAS Technische Universität Kaiserslautern Erwin-Schrödinger-Straße 46 67663 Kaiserslautern Deutschland
| | - Sebastian Becker
- Fachbereich Physik und Forschungszentrum OPTIMAS Technische Universität Kaiserslautern Erwin-Schrödinger-Straße 46 67663 Kaiserslautern Deutschland
| | - Sina Mousavion
- Fachbereich Physik und Forschungszentrum OPTIMAS Technische Universität Kaiserslautern Erwin-Schrödinger-Straße 46 67663 Kaiserslautern Deutschland
| | - Thomas Speck
- Institut für Physik Johannes Gutenberg-Universität Mainz Staudingerweg 7 55128 Mainz Deutschland
| | - Hans‐Joachim Elmers
- Institut für Physik Johannes Gutenberg-Universität Mainz Staudingerweg 7 55128 Mainz Deutschland
| | - Benjamin Stadtmüller
- Fachbereich Physik und Forschungszentrum OPTIMAS Technische Universität Kaiserslautern Erwin-Schrödinger-Straße 46 67663 Kaiserslautern Deutschland
| | - Martin Aeschlimann
- Fachbereich Physik und Forschungszentrum OPTIMAS Technische Universität Kaiserslautern Erwin-Schrödinger-Straße 46 67663 Kaiserslautern Deutschland
| | - Ralf Bechstein
- Physikalische Chemie I Fakultät für Chemie Universität Bielefeld Universitätsstraße 25 33615 Bielefeld Deutschland
| | - Angelika Kühnle
- Physikalische Chemie I Fakultät für Chemie Universität Bielefeld Universitätsstraße 25 33615 Bielefeld Deutschland
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Aeschlimann S, Lyu L, Becker S, Mousavion S, Speck T, Elmers HJ, Stadtmüller B, Aeschlimann M, Bechstein R, Kühnle A. Mobilization upon Cooling. Angew Chem Int Ed Engl 2021; 60:19117-19122. [PMID: 34152050 PMCID: PMC8457188 DOI: 10.1002/anie.202105100] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/14/2021] [Revised: 06/07/2021] [Indexed: 11/08/2022]
Abstract
Phase transitions between different aggregate states are omnipresent in nature and technology. Conventionally, a crystalline phase melts upon heating as we use ice to cool a drink. Already in 1903, Gustav Tammann speculated about the opposite process, namely melting upon cooling. So far, evidence for such "inverse" transitions in real materials is rare and limited to few systems or extreme conditions. Here, we demonstrate an inverse phase transition for molecules adsorbed on a surface. Molybdenum tetraacetate on copper(111) forms an ordered structure at room temperature, which dissolves upon cooling. This transition is mediated by molecules becoming mobile, i.e., by mobilization upon cooling. This unexpected phenomenon is ascribed to the larger number of internal degrees of freedom in the ordered phase compared to the mobile phase at low temperatures.
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Affiliation(s)
- Simon Aeschlimann
- Institute of Physical Chemistry, Johannes Gutenberg University Mainz, Duesbergweg 10-14, 55099, Mainz, Germany.,Graduate School Materials Science in Mainz, Staudingerweg 9, 55128, Mainz, Germany
| | - Lu Lyu
- Department of Physics and Research Center OPTIMAS, University of Kaiserslautern, Erwin-Schrödinger-Strasse 46, 67663, Kaiserslautern, Germany
| | - Sebastian Becker
- Department of Physics and Research Center OPTIMAS, University of Kaiserslautern, Erwin-Schrödinger-Strasse 46, 67663, Kaiserslautern, Germany
| | - Sina Mousavion
- Department of Physics and Research Center OPTIMAS, University of Kaiserslautern, Erwin-Schrödinger-Strasse 46, 67663, Kaiserslautern, Germany
| | - Thomas Speck
- Institute of Physics, Johannes Gutenberg University Mainz, Staudingerweg 7, 55128, Mainz, Germany
| | - Hans-Joachim Elmers
- Institute of Physics, Johannes Gutenberg University Mainz, Staudingerweg 7, 55128, Mainz, Germany
| | - Benjamin Stadtmüller
- Department of Physics and Research Center OPTIMAS, University of Kaiserslautern, Erwin-Schrödinger-Strasse 46, 67663, Kaiserslautern, Germany
| | - Martin Aeschlimann
- Department of Physics and Research Center OPTIMAS, University of Kaiserslautern, Erwin-Schrödinger-Strasse 46, 67663, Kaiserslautern, Germany
| | - Ralf Bechstein
- Physical Chemistry I, Faculty of Chemistry, Bielefeld University, Universitätsstrasse 25, 33615, Bielefeld, Germany
| | - Angelika Kühnle
- Physical Chemistry I, Faculty of Chemistry, Bielefeld University, Universitätsstrasse 25, 33615, Bielefeld, Germany
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Zhang L, Zhang H, Ren X, Eckert J, Wang Y, Zhu Z, Gemming T, Pauly S. Amorphous martensite in β-Ti alloys. Nat Commun 2018; 9:506. [PMID: 29410411 PMCID: PMC5802800 DOI: 10.1038/s41467-018-02961-2] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/03/2017] [Accepted: 01/10/2018] [Indexed: 12/04/2022] Open
Abstract
Martensitic transformations originate from a rigidity instability, which causes a crystal to change its lattice in a displacive manner. Here, we report that the martensitic transformation on cooling in Ti–Zr–Cu–Fe alloys yields an amorphous phase instead. Metastable β-Ti partially transforms into an intragranular amorphous phase due to local lattice shear and distortion. The lenticular amorphous plates, which very much resemble α′/α″ martensite in conventional Ti alloys, have a well-defined orientation relationship with the surrounding β-Ti crystal. The present solid-state amorphization process is reversible, largely cooling rate independent and constitutes a rare case of congruent inverse melting. The observed combination of elastic softening and local lattice shear, thus, is the unifying mechanism underlying both martensitic transformations and catastrophic (inverse) melting. Not only do we reveal an alternative mechanism for solid-state amorphization but also establish an explicit experimental link between martensitic transformations and catastrophic melting. Displacive martensitic transformations through lattice distortion usually involve a change from one crystal structure to another. Here however, the authors “melt” metastable Ti alloys during cooling and show that a martensitic transformation can lead to the formation of an intragranular amorphous phase.
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Affiliation(s)
- Long Zhang
- Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, 72 Wenhua Road, Shenyang, 110016, China.,IFW Dresden, Institute for Complex Materials, Helmholtzstraße 20, 01069, Dresden, Germany
| | - Haifeng Zhang
- Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, 72 Wenhua Road, Shenyang, 110016, China.
| | - Xiaobing Ren
- Multi-disciplinary Materials Research Centre, Frontier Institute of Science and Technology, Xi'an Jiaotong University, Xi'an, 710049, China. .,Ferroic Physics Group, National Institute for Materials Science, Tsukuba, 305-0047, Japan.
| | - Jürgen Eckert
- Erich Schmid Institute of Materials Science, Austrian Academy of Sciences, Jahnstraße 12, 8700, Leoben, Austria.,Department Materials Physics, Montanuniversität Leoben, Jahnstraße 12, 8700, Leoben, Austria
| | - Yandong Wang
- State Key Laboratory for Advanced Metals and Materials, University of Science and Technology Beijing, Beijing, 100083, China
| | - Zhengwang Zhu
- Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, 72 Wenhua Road, Shenyang, 110016, China
| | - Thomas Gemming
- IFW Dresden, Institute for Complex Materials, Helmholtzstraße 20, 01069, Dresden, Germany
| | - Simon Pauly
- IFW Dresden, Institute for Complex Materials, Helmholtzstraße 20, 01069, Dresden, Germany
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6
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Han FF, Inoue A, Han Y, Kong FL, Zhu SL, Shalaan E, Al-Marzouki F, Greer AL. Novel Heating-Induced Reversion during Crystallization of Al-based Glassy Alloys. Sci Rep 2017; 7:46113. [PMID: 28406157 PMCID: PMC5390259 DOI: 10.1038/srep46113] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/03/2017] [Accepted: 03/08/2017] [Indexed: 11/17/2022] Open
Abstract
Thermal stability and crystallization of three multicomponent glassy alloys, Al86Y7Ni5Co1Fe0.5Pd0.5, Al85Y8Ni5Co1Fe0.5Pd0.5 and Al84Y9Ni4Co1.5Fe0.5Pd1, were examined to assess the ability to form the mixture of amorphous (am) and fcc-aluminum (α-Al) phases. On heating, the glass transition into the supercooled liquid is shown by the 85Al and 84Al glasses. The crystallization sequences are [am] → [am + α-Al] → [α-Al + compounds] for the 86Al and 85Al alloys, and [am] → [am + α-Al + cubic AlxMy (M = Y, Ni, Co, Fe, Pd)] → [am + α-Al] → [α-Al + Al3Y + Al9(Co, Ni)2 + unknown phase] for the 84Al alloy. The glass transition appears even for the 85Al alloy where the primary phase is α-Al. The heating-induced reversion from [am + α-Al + multicomponent AlxMy] to [am + α-Al] for the 84Al alloy is abnormal, not previously observed in crystallization of glassy alloys, and seems to originate from instability of the metastable AlxMy compound, in which significant inhomogeneous strain is caused by the mixture of solute elements. This novel reversion phenomenon is encouraging for obtaining the [am + α-Al] mixture over a wide range of high temperature effective for the formation of Al-based high-strength nanostructured bulk alloys by warm working.
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Affiliation(s)
- F F Han
- School of Materials Science and Engineering, Tianjin University, Tianjin, 300072, China
| | - A Inoue
- School of Materials Science and Engineering, Tianjin University, Tianjin, 300072, China.,International Institute of Green Materials, Josai International University, Togane, 283-8555, Japan.,Department of Physics, King Abdulaziz University, Jeddah, 22254, Saudi Arabia.,MISiS, National University of Science and Technology, Moscow, 119049, Russia
| | - Y Han
- School of Materials Science and Engineering, Tianjin University, Tianjin, 300072, China
| | - F L Kong
- International Institute of Green Materials, Josai International University, Togane, 283-8555, Japan
| | - S L Zhu
- School of Materials Science and Engineering, Tianjin University, Tianjin, 300072, China
| | - E Shalaan
- Department of Physics, King Abdulaziz University, Jeddah, 22254, Saudi Arabia
| | - F Al-Marzouki
- Department of Physics, King Abdulaziz University, Jeddah, 22254, Saudi Arabia
| | - A L Greer
- Department of Materials Science and Metallurgy, University of Cambridge, Cambridge CB3 0FS, UK
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Pogatscher S, Leutenegger D, Schawe JEK, Uggowitzer PJ, Löffler JF. Solid-solid phase transitions via melting in metals. Nat Commun 2016; 7:11113. [PMID: 27103085 PMCID: PMC4844691 DOI: 10.1038/ncomms11113] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/04/2015] [Accepted: 02/22/2016] [Indexed: 11/29/2022] Open
Abstract
Observing solid–solid phase transitions in-situ with sufficient temporal and spatial resolution is a great challenge, and is often only possible via computer simulations or in model systems. Recently, a study of polymeric colloidal particles, where the particles mimic atoms, revealed an intermediate liquid state in the transition from one solid to another. While not yet observed there, this finding suggests that such phenomena may also occur in metals and alloys. Here we present experimental evidence for a solid–solid transition via the formation of a metastable liquid in a ‘real' atomic system. We observe this transition in a bulk glass-forming metallic system in-situ using fast differential scanning calorimetry. We investigate the corresponding transformation kinetics and discuss the underlying thermodynamics. The mechanism is likely to be a feature of many metallic glasses and metals in general, and may provide further insight into phase transition theory. Solid–solid phase transition via an intermediate liquid state has been identified in colloidal systems, but the universality of the phenomenon at atomic scales has not yet been proved. Pogatscher et al. observe a similar transition in a metallic glass system using fast differential scanning calorimetry.
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Affiliation(s)
- S Pogatscher
- Laboratory of Metal Physics and Technology, Department of Materials, ETH Zurich, Zurich 8093, Switzerland.,Institute of Nonferrous Metallurgy, Department of Metallurgy, Montanuniversität Leoben, Leoben 8700, Austria
| | - D Leutenegger
- Laboratory of Metal Physics and Technology, Department of Materials, ETH Zurich, Zurich 8093, Switzerland
| | - J E K Schawe
- Mettler-Toledo GmbH, Analytical, Schwerzenbach 8603, Switzerland
| | - P J Uggowitzer
- Laboratory of Metal Physics and Technology, Department of Materials, ETH Zurich, Zurich 8093, Switzerland
| | - J F Löffler
- Laboratory of Metal Physics and Technology, Department of Materials, ETH Zurich, Zurich 8093, Switzerland
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8
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Gulpinar G, Iyikanat F. Dynamics of the Blume-Capel model with quenched diluted single-ion anisotropy in the neighborhood of equilibrium states. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 83:041101. [PMID: 21599109 DOI: 10.1103/physreve.83.041101] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/01/2010] [Indexed: 05/30/2023]
Abstract
The relaxation dynamics of a Blume-Capel model with a quenched diluted crystal field is formulated by a method combining the statistical equilibrium theory and the thermodynamics of linear irreversible processes. Using a mean-field approximation for the magnetic Gibbs free-energy production, a generalized force and a current are defined within the irreversible thermodynamics. Next the kinetic equation for the magnetization is obtained within linear response theory. Finally, the temperature dependence of the relaxation time in the neighborhood of the phase-transition points is obtained by solving the kinetic equation of the magnetization. We find that the relaxation time of the order parameter diverges near the critical and multicritical points, which corresponds to the familiar critical slowing down. On the other hand, it displays different behavior at the first-order phase transitions. It has a jump discontinuity at the first-order phase-transition temperatures. Moreover, the z dynamic critical exponent is calculated and compared with the z values obtained for a diverse class of systems, and good agreement is found with our results.
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Affiliation(s)
- Gul Gulpinar
- Dokuz Eylul University, Faculty of Arts and Science, Department of Physics, 35160-Buca, Izmir, Turkey.
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9
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Ghulghazaryan RG, Sargsyan KG, Ananikian NS. Partition function zeros of the one-dimensional Blume-Capel model in transfer matrix formalism. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2007; 76:021104. [PMID: 17930003 DOI: 10.1103/physreve.76.021104] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/28/2006] [Revised: 06/06/2007] [Indexed: 05/25/2023]
Abstract
Zeros of the partition function of the one-dimensional ferromagnetic and antiferromagnetic Blume-Capel models have been studied by using the transfer matrix method in the thermodynamic limit and for finite size chains. The equation for the distribution of zeros of the partition function in the thermodynamic limit is derived. The distribution of the Yang-Lee and Fisher zeros are studied for a variety of values of the parameters of the model. Densities of the Yang-Lee and Fisher zeros are investigated and a singular behavior of the corresponding densities of zeros at the edge points is shown. The edge singularity exponents are calculated analytically for the densities of the Yang-Lee and Fisher zeros. It is found that for both cases edge singularity exponents are universal and equal to sigma = -1/2 .
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Affiliation(s)
- R G Ghulghazaryan
- Department of Theoretical Physics, Yerevan Physics Institute, Alikhanian Brothers 2, 375036, Yerevan, Armenia
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10
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Affiliation(s)
- L. Schultz
- a Siemens AG , Research Laboratories , D-8520, Erlangen , F.R. , Germany
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11
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Affiliation(s)
- Livio Battezzati
- a Dipartimento di Chimica Inorganica , Chimica Fisica e Chimica dei Materiali , Università di Torino , Via P. Giuria 9, 10125 , Torino , Italy
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12
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Lohwongwatana B, Schroers J, Johnson WL. Strain rate induced crystallization in bulk metallic glass-forming liquid. PHYSICAL REVIEW LETTERS 2006; 96:075503. [PMID: 16606105 DOI: 10.1103/physrevlett.96.075503] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/30/2005] [Indexed: 05/08/2023]
Abstract
We report on the solidification of Au49, Ag5.5, Pd2.3, Cu26.9, Si16.3 bulk metallic glass under various strain rates. Using a copper mold casting technique with a low strain rate during solidification, this alloy is capable of forming glassy rods of at least 5 mm in diameter. Surprisingly, when the liquid alloy is splat cooled at much higher cooling rates and large strain rates, the solidified alloy is no longer fully amorphous. Our finding suggests that the large strain rate during splat cooling induces crystallization. The pronounced difference in crystallization behavior cannot be explained by the previously observed strain rate effect on viscosity alone. A strain rate induced phase separation process is suggested as one of the explanations for this crystallization behavior. The strain-rate-dependent critical cooling rate must be considered in order to assess the intrinsic glass forming ability of metallic liquid.
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Affiliation(s)
- Boonrat Lohwongwatana
- Keck Laboratory of Engineering Materials, California Institute of Technology, Pasadena, California 91125, USA
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13
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Schupper N, Shnerb NM. Inverse melting and inverse freezing: a spin model. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005; 72:046107. [PMID: 16383468 DOI: 10.1103/physreve.72.046107] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/22/2005] [Indexed: 05/05/2023]
Abstract
Systems of highly degenerate ordered or frozen state may exhibit inverse melting (reversible crystallization upon heating) or inverse freezing (reversible glass transition upon heating). This phenomenon is reviewed, and a list of experimental demonstrations and theoretical models is presented. A simple spin model for inverse melting is introduced and solved analytically for infinite range, constant paramagnetic exchange interaction. The random exchange analogue of this model yields inverse freezing, as implied by the analytic solution based on the replica trick. The qualitative features of this system (generalized Blume-Capel spin model) are shown to resemble a large class of inverse melting phenomena. The appearance of inverse melting is related to an exact rescaling of one of the interaction parameters that measures the entropy of the system. For the case of almost degenerate spin states, perturbative expansion is presented, and the first three terms correspond to the empiric formula for the Flory-Huggins chi parameter in the theory of polymer melts. The possible microscopic origin of this chi parameter and the limitations of the Flory-Huggins theory where the state degeneracy is associated with the different conformations of a single polymer or with the spatial structures of two interacting molecules are discussed.
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Affiliation(s)
- Nurith Schupper
- Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel
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14
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Gong WL, Wang LM, Ewing RC, Fei Y. Surface and grain-boundary amorphization: Thermodynamic melting of coesite below the glass transition temperature. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:2155-2158. [PMID: 9983698 DOI: 10.1103/physrevb.53.2155] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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15
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Fecht HJ. Thermodynamic Properties of Amorphous Solids —Glass Formation and Glass Transition— ( Overview). ACTA ACUST UNITED AC 1995. [DOI: 10.2320/matertrans1989.36.777] [Citation(s) in RCA: 84] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
Affiliation(s)
- H. J. Fecht
- Technical University Berlin, Materials Science, Institute of Metals Research, Hardenbergstr
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16
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Yan ZH, Klassen T, Michaelsen C, Oehring M, Bormann R. Inverse melting in the Ti-Cr system. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:8520-8527. [PMID: 10004889 DOI: 10.1103/physrevb.47.8520] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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17
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Bormann R, Zöltzer K. Determination of the thermodynamic functions and calculation of phase diagrams for metastable phases. ACTA ACUST UNITED AC 1992. [DOI: 10.1002/pssa.2211310238] [Citation(s) in RCA: 68] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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18
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Wirz C, Blatter A, Baltzer N. Transformations preceding amorphization in Cr-Ti and Cr-Ti-Fe beta phases. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:6993-6999. [PMID: 9994822 DOI: 10.1103/physrevb.42.6993] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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19
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Huang LJ, Liu BX, Li HD. Stability of an icosahedral incommensurate phase formed in an immiscible alloy system. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:9523-9526. [PMID: 9993304 DOI: 10.1103/physrevb.41.9523] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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20
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Alonso JA, Gallego LJ, Somoza JA. Construction of free-energy diagrams of amorphous alloys. ACTA ACUST UNITED AC 1990. [DOI: 10.1007/bf02453312] [Citation(s) in RCA: 90] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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21
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Blatter A, Kambli U, Wirz C, Giovanoli R, Dyrbye K, Bttiger J. Role of defects for the spontaneous vitrification of beta -(Cr,Ti). PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:12503-12506. [PMID: 9991887 DOI: 10.1103/physrevb.40.12503] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Blatter A, von Allmen M. Formation of Glassy Cr-Ti Bulk Material by Spontaneous Vitrification of a Crystalline Phase*. Z PHYS CHEM 1988. [DOI: 10.1524/zpch.1988.157.part_1.245] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Rehn LE, Okamoto PR, Pearson J, Bhadra R, Grimsditch M. Solid-state amorphization of Zr3Al: Evidence of an elastic instability and first-order phase transformation. PHYSICAL REVIEW LETTERS 1987; 59:2987-2990. [PMID: 10035704 DOI: 10.1103/physrevlett.59.2987] [Citation(s) in RCA: 35] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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López JM, Alonso JA, Gallego LJ. Determination of the glass-forming concentration range in binary alloys from a semiempirical theory: Application to Zr-based alloys. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 36:3716-3722. [PMID: 9943306 DOI: 10.1103/physrevb.36.3716] [Citation(s) in RCA: 63] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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