Skip navigation

DSpace

機構典藏 DSpace 系統致力於保存各式數位資料(如:文字、圖片、PDF)並使其易於取用。

點此認識 DSpace
DSpace logo
English
中文
  • 瀏覽論文
    • 校院系所
    • 出版年
    • 作者
    • 標題
    • 關鍵字
    • 指導教授
  • 搜尋 TDR
  • 授權 Q&A
    • 我的頁面
    • 接受 E-mail 通知
    • 編輯個人資料
  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 材料科學與工程學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/102416
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor郭錦龍zh_TW
dc.contributor.advisorChin-Lung Kuoen
dc.contributor.author謝京翰zh_TW
dc.contributor.authorChing-Han Hsiehen
dc.date.accessioned2026-06-16T16:34:57Z-
dc.date.available2026-06-17-
dc.date.copyright2026-06-16-
dc.date.issued2026-
dc.date.submitted2026-05-19-
dc.identifier.citation[1] J.-W. Yeh, Recent progress in high entropy alloys, Annales de Chimie - Science des Matériaux 31 (2006) 633–648.
[2] B. Cantor, I.T.H. Chang, P. Knight, A.J.B. Vincent, Microstructural development in equiatomic multicomponent alloys, Materials Science and Engineering: A 375-377 (2004) 213–218. https://doi.org/10.1016/j.msea.2003.10.257.
[3] J.-W. Yeh, S.-K. Chen, S.-J. Lin, J.-Y. Gan, T.-S. Chin, T.-T. Shun, C.-H. Tsau, S.-Y. Chang, Nanostructured High-Entropy Alloys with Multiple Principal Elements: Novel Alloy Design Concepts and Outcomes, Advanced Engineering Materials 6 (2004) 299–303. https://doi.org/10.1002/adem.200300567.
[4] S. Rajendrachari, An Overview of High-Entropy Alloys Prepared by Mechanical Alloying Followed by the Characterization of Their Microstructure and Various Properties, Alloys 1 (2022) 116–132.
[5] M.-H. Tsai, J.-W. Yeh, High-Entropy Alloys: A Critical Review, Materials Research Letters 2 (2014) 107–123. 10.1080/21663831.2014.912690.
[6] K.Y. Tsai, M.H. Tsai, J.W. Yeh, Sluggish diffusion in Co–Cr–Fe–Mn–Ni high-entropy alloys, Acta Materialia 61 (2013) 4887–4897. https://doi.org/10.1016/j.actamat.2013.04.058.
[7] W. Kucza, J. Dąbrowa, G. Cieślak, K. Berent, T. Kulik, M. Danielewski, Studies of "sluggish diffusion" effect in Co-Cr-Fe-Mn-Ni, Co-Cr-Fe-Ni and Co-Fe-Mn-Ni high entropy alloys; determination of tracer diffusivities by combinatorial approach, Journal of Alloys and Compounds 731 (2018) 920–928.
[8] S. Ranganathan, Alloyed pleasures: Multimetallic cocktails, 2003.
[9] D.B. Miracle, O.N. Senkov, A critical review of high entropy alloys and related concepts, Acta Materialia 122 (2017) 448–511. https://doi.org/10.1016/j.actamat.2016.08.081.
[10] E.Y. Pikalova, E.G. Kalinina, N.S. Pikalova, E.A. Filonova, High-Entropy Materials in SOFC Technology: Theoretical Foundations for Their Creation, Features of Synthesis, and Recent Achievements, Materials 15 (2022) 8783.
[11] B. Gludovatz, A. Hohenwarter, D. Catoor, E.H. Chang, E.P. George, R.O. Ritchie, A fracture-resistant high-entropy alloy for cryogenic applications, Science 345 (2014) 1153–1158. 10.1126/science.1254581.
[12] M. Born, R. Oppenheimer, Zur Quantentheorie der Molekeln, Annalen der Physik 389 (1927) 457–484. https://doi.org/10.1002/andp.19273892002.
[13] P. Hohenberg, W. Kohn, Inhomogeneous Electron Gas, Physical Review 136 (1964) B864–B871. 10.1103/PhysRev.136.B864.
[14] W. Kohn, L.J. Sham, Self-Consistent Equations Including Exchange and Correlation Effects, Physical Review 140 (1965) A1133–A1138. 10.1103/PhysRev.140.A1133.
[15] L.H. Thomas, The calculation of atomic fields, Mathematical Proceedings of the Cambridge Philosophical Society 23 (1927) 542–548. 10.1017/S0305004100011683.
[16] E. Fermi, proprietà, Rendiconti della Accademia Nazionale dei Lincei 6 (1927) 602–607.
[17] P.A.M. Dirac, Note on exchange phenomena in the Thomas atom, Mathematical Proceedings of the Cambridge Philosophical Society 26 (1930) 376–385. 10.1017/S0305004100016108.
[18] S.H. Vosko, L. Wilk, M. Nusair, Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis, Canadian Journal of Physics 58 (1980) 1200–1211. 10.1139/p80-159.
[19] J.P. Perdew, J.A. Chevary, S.H. Vosko, K.A. Jackson, M.R. Pederson, D.J. Singh, C. Fiolhais, Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation, Physical Review B 46 (1992) 6671–6687. 10.1103/PhysRevB.46.6671.
[20] D.M. Ceperley, B.J. Alder, Ground State of the Electron Gas by a Stochastic Method, Physical Review Letters 45 (1980) 566–569. 10.1103/PhysRevLett.45.566.
[21] J.P. Perdew, A. Zunger, Self-interaction correction to density-functional approximations for many-electron systems, Physical Review B 23 (1981) 5048–5079. 10.1103/PhysRevB.23.5048.
[22] Y. Wang, J.P. Perdew, Spin scaling of the electron-gas correlation energy in the high-density limit, Physical Review B 43 (1991) 8911–8916. 10.1103/PhysRevB.43.8911.
[23] J.P. Perdew, K. Burke, M. Ernzerhof, Generalized Gradient Approximation Made Simple, Physical Review Letters 77 (1996) 3865–3868. 10.1103/PhysRevLett.77.3865.
[24] E. Mete, Electronic properties of transition metal oxides, (2003).
[25] P.E. Blöchl, Projector augmented-wave method, Physical Review B 50 (1994) 17953–17979. 10.1103/PhysRevB.50.17953.
[26] L. Verlet, Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules, Physical Review 159 (1967) 98–103. 10.1103/PhysRev.159.98.
[27] S.M. Foiles, M.I. Baskes, M.S. Daw, Embedded-atom-method functions for the fcc metals Cu, Ag, Au, Ni, Pd, Pt, and their alloys, Physical Review B 33 (1986) 7983–7991. 10.1103/PhysRevB.33.7983.
[28] M.I. Baskes, Application of the Embedded-Atom Method to Covalent Materials: A Semiempirical Potential for Silicon, Physical Review Letters 59 (1987) 2666–2669. 10.1103/PhysRevLett.59.2666.
[29] M.I. Baskes, J.S. Nelson, A.F. Wright, Semiempirical modified embedded-atom potentials for silicon and germanium, Physical Review B 40 (1989) 6085–6100. 10.1103/PhysRevB.40.6085.
[30] B.-J. Lee, M.I. Baskes, Second nearest-neighbor modified embedded-atom-method potential, Physical Review B 62 (2000) 8564–8567. 10.1103/PhysRevB.62.8564.
[31] J.H. Rose, J.R. Smith, F. Guinea, J. Ferrante, Universal features of the equation of state of metals, Physical Review B 29 (1984) 2963–2969. 10.1103/PhysRevB.29.2963.
[32] N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, E. Teller, Equation of State Calculations by Fast Computing Machines, The Journal of Chemical Physics 21 (1953) 1087–1092. 10.1063/1.1699114.
[33] W.K. Hastings, Monte Carlo Sampling Methods Using Markov Chains and Their Applications, Biometrika 57 (1970) 97–109. 10.2307/2334940.
[34] B.J. Alder, T.E. Wainwright, Studies in Molecular Dynamics. I. General Method, The Journal of Chemical Physics 31 (1959) 459–466. 10.1063/1.1730376.
[35] D.a.J. Faken, H., Systematic analysis of local atomic structure combined with 3D computer graphics, Computational Materials Science 2 (1994) 279–286.
[36] A. Stukowski, Structure identification methods for atomistic simulations of crystalline materials, Modelling and Simulation in Materials Science and Engineering 20 (2012) 045021.
[37] P.M. Larsen, Revisiting the common neighbour analysis and the centrosymmetry parameter, 2020.
[38] P. Hirel, Atomsk: A tool for manipulating and converting atomic data files, Computer Physics Communications 197 (2015) 212–219.
[39] W. Brostow, J.-P. Dussault, B.L. Fox, Construction of Voronoi polyhedra, Journal of Computational Physics 29 (1978) 81–92. https://doi.org/10.1016/0021-9991(78)90110-9.
[40] A. Stukowski, V.V. Bulatov, A. Arsenlis, Automated identification and indexing of dislocations in crystal interfaces, 20 (2012). https://doi.org/10.1088/0965-0393/20/8/085007
Journal Name: Modelling and Simulation in Materials Science and Engineering Journal Volume: 20.
[41] F.C. Frank, LXXXIII. Crystal dislocations.—Elementary concepts and definitions, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 42 (1951) 809–819. 10.1080/14786445108561310.
[42] A. Stukowski, Computational Analysis Methods in Atomistic Modeling of Crystals, JOM - Journal of the Minerals, Metals and Materials Society 66 (2014) 399–407. 10.1007/s11837-013-0827-5.
[43] F. Otto, A. Dlouhý, K.G. Pradeep, M. Kuběnová, D. Raabe, G. Eggeler, E.P. George, Decomposition of the single-phase high-entropy alloy CrMnFeCoNi after prolonged anneals at intermediate temperatures, Acta Materialia 112 (2016) 40–52. https://doi.org/10.1016/j.actamat.2016.04.005.
[44] 夏瑞駿, 運用第一原理計算探討矽鈷鉻鎳中熵合金系統相穩定度和析出行為與鈷鉻鎳古典力場模型發展, 材料科學與工程學系, 國立臺灣大學, 2024.
[45] Q.-J. Li, H. Sheng, E. Ma, Strengthening in multi-principal element alloys with local-chemical-order roughened dislocation pathways, Nature Communications 10 (2019) 3563. 10.1038/s41467-019-11464-7.
[46] W.-M. Choi, Y.H. Jo, S.S. Sohn, S. Lee, B.-J. Lee, Understanding the physical metallurgy of the CoCrFeMnNi high-entropy alloy: an atomistic simulation study, npj Computational Materials 4 (2018) 1. 10.1038/s41524-017-0060-9.
[47] R. Lizárraga, X. Li, D. Wei, L. Vitos, X. Li, The effect of Si and Ge on the elastic properties and plastic deformation modes in high- and medium-entropy alloys, Applied Physics Letters 119 (2021). 10.1063/5.0064939.
[48] W.J.B. Brian M. Adams, Keith R. Dalbey, Mohamed S. Ebeida, John P. Eddy,, R.W.H. Michael S. Eldred, Patricia D. Hough, Kenneth T. Hu,, M.K. John D. Jakeman, Kathryn A. Maupin, Jason A. Monschke,, A.A.R. Elliott M. Ridgway, D. Thomas Seidl, J. Adam Stephens,, a.J.G.W. Laura P. Swiler, Dakota, A Multilevel Parallel Object-Oriented Framework for Design Optimization, Parameter Estimation, Uncertainty uantification, and Sensitivity Analysis: Version 6.14 User’s Manual, (2021).
[49] R. Hill, The Elastic Behaviour of a Crystalline Aggregate, Proceedings of the Physical Society. Section A 65 (1952) 349. 10.1088/0370-1298/65/5/307.
[50] W. Voigt, Lehrbuch der kristallphysik (mit ausschluss der kristalloptik), B.G. Teubner, Leipzig ; Berlin, 1910.
[51] A. Reuss, Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 9 (1929) 49–58. https://doi.org/10.1002/zamm.19290090104.
[52] C. Niu, First Principles Studies of NiFeCrCoMn High Entropy Alloys, 2015.
[53] W. Selke, The ANNNI model — Theoretical analysis and experimental application, Physics Reports 170 (1988) 213–264. https://doi.org/10.1016/0370-1573(88)90140-8.
[54] A. Stukowski, Visualization and analysis of atomistic simulation data with OVITO–the Open Visualization Tool, Modelling and Simulation in Materials Science and Engineering 18 (2010) 015012. 10.1088/0965-0393/18/1/015012.
[55] L. Li, Z. Li, A. Kwiatkowski da Silva, Z. Peng, H. Zhao, B. Gault, D. Raabe, Segregation-driven grain boundary spinodal decomposition as a pathway for phase nucleation in a high-entropy alloy, Acta Materialia 178 (2019) 1–9. https://doi.org/10.1016/j.actamat.2019.07.052.
[56] B. Schuh, F. Mendez-Martin, B. Völker, E.P. George, H. Clemens, R. Pippan, A. Hohenwarter, Mechanical properties, microstructure and thermal stability of a nanocrystalline CoCrFeMnNi high-entropy alloy after severe plastic deformation, Acta Materialia 96 (2015) 258–268. https://doi.org/10.1016/j.actamat.2015.06.025.
[57] Y.J. Li, A. Savan, A. Ludwig, Atomic scale understanding of phase stability and decomposition of a nanocrystalline CrMnFeCoNi Cantor alloy, Applied Physics Letters 119 (2021). 10.1063/5.0069107.
[58] A.P. Thompson, H.M. Aktulga, R. Berger, D.S. Bolintineanu, W.M. Brown, P.S. Crozier, P.J. in 't Veld, A. Kohlmeyer, S.G. Moore, T.D. Nguyen, R. Shan, M.J. Stevens, J. Tranchida, C. Trott, S.J. Plimpton, LAMMPS - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales, Computer Physics Communications 271 (2022) 108171. https://doi.org/10.1016/j.cpc.2021.108171.
[59] A. Zunger, S.H. Wei, L.G. Ferreira, J.E. Bernard, Special quasirandom structures, Physical Review Letters 65 (1990) 353–356. 10.1103/PhysRevLett.65.353.
[60] A. Stukowski, Visualization and analysis of atomistic simulation data with OVITO-the Open Visualization Tool, Modelling Simul. Mater. Sci. Eng. 18 (2010) 015012. 10.1088/0965-0393/18/1/015012.
[61] J.W. Cahn, Phase Separation by Spinodal Decomposition in Isotropic Systems, The Journal of Chemical Physics 42 (1965) 93–99. 10.1063/1.1695731.
[62] X.-D. Xiang, G. Wang, X. Zhang, Y. Xiang, H. Wang, Individualized Pixel Synthesis and Characterization of Combinatorial Materials Chips, Engineering 1 (2015) 225. 10.15302/J-ENG-2015041.
[63] G. Shang, C.-H. Xia, Z.-Z. Liu, X.-G. Lu, Thermodynamic assessment of the Co–Cr–Fe system and atomic mobility study of its fcc phase, Calphad 80 (2023) 102526. https://doi.org/10.1016/j.calphad.2022.102526.
[64] E. Ahearne, S. Baron, S. Keaveney, G. Byrne, An Assessment of Medical Grade Cobalt Chromium Alloy ASTM F1537 as a Difficult-to-Cut (DTC) Material, 2015.
[65] M. Gich, E. Shafranovsky, A. Roig, A. Slawska-Waniewska, K. Racka, L. Casas, Y. Petrov, E. Molins, M. Thomas, Aerosol nanoparticles in the Fe1−xCrx system: Room-temperature stabilization of the σ phase and σ→α-phase transformation, JOURNAL OF APPLIED PHYSICS 98 (2005). 10.1063/1.1946907.
[66] J.C. Rao, H.Y. Diao, V. Ocelík, D. Vainchtein, C. Zhang, C. Kuo, Z. Tang, W. Guo, J.D. Poplawsky, Y. Zhou, P.K. Liaw, J.T.M. De Hosson, Secondary phases in AlxCoCrFeNi high-entropy alloys: An in-situ TEM heating study and thermodynamic appraisal, Acta Materialia 131 (2017) 206–220. https://doi.org/10.1016/j.actamat.2017.03.066.
[67] A. Tamm, A. Aabloo, M. Klintenberg, M. Stocks, A. Caro, Atomic-scale properties of Ni-based FCC ternary, and quaternary alloys, Acta Materialia 99 (2015) 307–312. https://doi.org/10.1016/j.actamat.2015.08.015.
[68] B. Gludovatz, A. Hohenwarter, K.V. Thurston, H. Bei, Z. Wu, E.P. George, R.O. Ritchie, Exceptional damage-tolerance of a medium-entropy alloy CrCoNi at cryogenic temperatures, Nat Commun 7 (2016) 10602. 10.1038/ncomms10602.
[69] D. Liu, Q. Yu, S. Kabra, M. Jiang, P. Forna-Kreutzer, R. Zhang, M. Payne, F. Walsh, B. Gludovatz, M. Asta, A.M. Minor, E.P. George, R.O. Ritchie, Exceptional fracture toughness of CrCoNi-based medium- and high-entropy alloys at 20 kelvin, Science 378 (2022) 978–983. doi:10.1126/science.abp8070.
[70] S. Schönecker, W. Li, L. Vitos, X. Li, Effect of strain on generalized stacking fault energies and plastic deformation modes in fcc-hcp polymorphic high-entropy alloys: A first-principles investigation, Physical Review Materials 5 (2021) 075004. 10.1103/PhysRevMaterials.5.075004.
[71] F. Tian, L.K. Varga, J. Shen, L. Vitos, Calculating elastic constants in high-entropy alloys using the coherent potential approximation: Current issues and errors, Computational Materials Science 111 (2016) 350–358. https://doi.org/10.1016/j.commatsci.2015.09.058.
-
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/102416-
dc.description.abstract本論文主要探討 CoCrFeMnNi 高熵合金與 CoCrNi 中熵合金之原子尺度結構穩定性、相分離機制與機械性質,研究內容可分為三個部分。首先,本研究建立適用於高熵合金系統之 2NN MEAM 古典力場模型參數組,並以第一原理計算結果作為參考,針對純元素、二元系統及多元局域結構之凝聚能、晶格常數、彈性常數、空缺形成能、結構穩定性與疊差能進行系統性驗證。結果顯示,本研究所建立之參數組不僅可合理描述五元高熵合金中局域化學有序之能量特徵,亦能捕捉 FeCoCr 子系統中 FCC 與 BCC 結構之相對穩定性,並保留中熵合金系統原有之機械性質描述能力,證明本參數組具備良好之物理合理性與延伸性。
其次,本研究利用混合式蒙地卡羅/分子動力學模擬探討高熵合金於退火過程中之相分離行為。模擬結果顯示,高熵合金之分解機制是由 NiMn 之優先聚集與析出所觸發。當 Ni 以 NiMn 相形式析出後,殘餘 FeCoCr 區域失去足夠之 FCC 穩定作用,進一步發生 spinodal decomposition,形成 Cr BCC 與 CoFe B2 結構。隨溫度升高,NiMn L10 與 CoFe B2 有序相逐漸崩解,系統由三相分離逐步轉為 Cr BCC 與 FCC CoNiFeMn 共存之狀態,並最終於高溫下恢復為近似 SQS 排列之單相 FCC 固溶體。此結果說明 Ni 對於維持高熵合金FCC 固溶體穩定性具有關鍵作用,而 NiMn 析出則為啟動相分離之主要步驟。
最後,本研究進一步比較 高熵合金與中熵合金之拉伸機械行為。結果顯示,中熵合金具有較高之強度與較佳之延展性,而高熵合金雖具有較低之疊差能,卻未表現出較佳之延展性。變形機制分析指出,中熵合金在拉伸過程中較易形成變形雙晶,而 高熵合金則主要形成 extrinsic stacking faults。進一步由廣義疊差能分析可知,影響材料雙晶形成與延展性之關鍵因素為 slip barrier,而非疊差能本身。當 slip barrier 降低時,雙晶較易形成,材料延展性亦隨之提升;反之則會抑制雙晶生成並降低延展性。
綜合而言,本論文建立了一套可用高熵合金與中熵合金不同系統的原子尺度研究架構,成功串聯古典力場模型建立、相分離機制分析與機械性質比較,並釐清 CoCrFeMnNi 高熵合金於退火過程中之相演化行為及其熱力學驅動因素。本研究成果可作為未來高熵合金材料設計與性質優化之理論基礎。
zh_TW
dc.description.abstractThis thesis investigates the atomic-scale structural stability, phase separation behavior, and mechanical properties of the CoCrFeMnNi high-entropy alloy and the CoCrNi medium-entropy alloy. First, a 2NN MEAM interatomic potential was developed for the CoCrFeMnNi alloy system and systematically validated against first-principles calculations. The results show that the developed potential can reasonably reproduce cohesive energies, lattice constants, elastic constants, vacancy formation energies, structural stability, and stacking fault energetics for unary, binary, and multicomponent structures. It also captures the energetic characteristics of local chemical ordering in quinary CoCrFeMnNi and the relative stability of FCC and BCC structures in the FeCoCr subsystem.
Second, the phase separation mechanism of CoCrFeMnNi during annealing was investigated using hybrid Monte Carlo/molecular dynamics simulations. The results show that phase separation is primarily triggered by the preferential segregation and precipitation of NiMn. Once Ni is consumed through NiMn formation, the remaining FeCoCr region loses sufficient FCC stabilization and undergoes spinodal decomposition into Cr BCC and CoFe B2 structures. With increasing temperature, the ordered phases gradually collapse, and the alloy evolves from a three-phase-separated structure into a mixed state of Cr BCC and FCC CoNiFeMn, before eventually returning to a nearly single-phase FCC solid solution at sufficiently high temperature. These results indicate that Ni plays a critical role in maintaining the FCC stability of CoCrFeMnNi.
Finally, the tensile behaviors of CoCrNi and CoCrFeMnNi were compared through nanowire tensile simulations. The results show that CoCrNi exhibits both higher strength and better ductility than CoCrFeMnNi. During tensile deformation, CoCrNi readily forms deformation twins, whereas CoCrFeMnNi mainly develops extrinsic stacking faults. Although CoCrFeMnNi has a lower stacking fault energy, it does not exhibit better ductility. Further generalized stacking fault energy analysis shows that the slip barrier plays a more important role than stacking fault energy in governing twinning behavior and tensile ductility.
Overall, this thesis establishes an atomistic framework for potential development, phase-separation analysis, and mechanical-property investigation in multi-principal-element alloys, and provides a theoretical basis for the future design and optimization of medium- and high-entropy alloys.
en
dc.description.provenanceSubmitted by admin ntu (admin@lib.ntu.edu.tw) on 2026-06-16T16:34:57Z
No. of bitstreams: 0
en
dc.description.provenanceMade available in DSpace on 2026-06-16T16:34:57Z (GMT). No. of bitstreams: 0en
dc.description.tableofcontents論文口試委員審定書 ................................................................................................... ii
致謝 .............................................................................................................................. iii
摘要 ............................................................................................................................... v
Abstract ........................................................................................................................ vii
Contents ........................................................................................................................ ix
List of Figures .............................................................................................................. xii
List of Tables .............................................................................................................. xix
Chapter 1. Introduction ........................................................................................... 1
Chapter 2. Theoretical background ......................................................................... 6
2.1 First principles calculation ................................................................................... 6
2.2 Born-Oppenheimer approximation ...................................................................... 7
2.3 Density functional theory (DFT) ......................................................................... 7
2.3.1 Thomas-Fermi model ................................................................................... 8
2.3.2 Hohenberg-Kohn theorem ............................................................................ 8
2.3.3 Kohn-Sham equation .................................................................................... 9
2.3.4 Exchange-correlation functional ................................................................. 11
2.3.5 Pseudopotential ........................................................................................... 12
2.4 Interatomic Potential .......................................................................................... 14
2.4.1 Modified embedded atom method (MEAM) .............................................. 15
2.4.2 Potential parameters optimization .............................................................. 20
2.5 Monte Carlo simulation ..................................................................................... 21
2.6 Molecular dynamics simulations ....................................................................... 23
2.6.1 Verlet algorithm .......................................................................................... 24
2.6.2 Nosé-Hoover thermostat and barostat ........................................................ 25
2.7 Structure construction and analysis method ...................................................... 26
2.7.1 Common neighbor analysis ........................................................................ 26
2.7.2 Reverse Monte Carlo algorithm (RMC algorithm) .................................... 27
2.7.3 Voronoi polyhedral ..................................................................................... 32
2.7.4 Dislocation extraction algorithm ................................................................ 32
2.7.5 Crystal analysis tool .................................................................................... 34
Chapter 3. Validation of the MEAM Potential ...................................................... 36
3.1 Introduction ....................................................................................................... 36
3.2 Methodology ...................................................................................................... 40
3.2.1 MEAM parametrization Strategy ............................................................... 40
3.2.2 DFT Reference Calculations for Fitting Observables ................................ 41
3.2.3 Definition of observable term ..................................................................... 42
3.2.4 Stacking fault energy (SFE) calculation ..................................................... 44
3.2.5 Computational details ................................................................................. 47
3.3 Results and discussion ....................................................................................... 50
3.3.1 Validation of pure elements properties ....................................................... 50
3.3.2 Validation of binary pairs properties .......................................................... 53
3.3.3 Validation of CoCrFeMnNi 2NN MEAM model ....................................... 57
3.3.4 Validation of FeCoCr 2NN MEAM model ................................................. 67
3.4 Summary ............................................................................................................ 71
Chapter 4. Molecular Dynamics Study of Phase Separation in CoCrFeMnNi HEAs ........ 72
4.1 Inroduction ......................................................................................................... 72
4.2 Methodology ...................................................................................................... 77
4.2.1 Simulation cell ............................................................................................ 77
4.2.2 Monte Carlo simulation .............................................................................. 78
4.2.3 Warren-Cowley parameter .......................................................................... 79
4.2.4 Computational details ................................................................................. 79
4.3 Results and discussion ....................................................................................... 81
4.4 Summary .......................................................................................................... 100
Chapter 5. Nanowire Tension of CoCrNi MEAs and CoCrFeMnNi HEAs ........ 101
5.1 Introduction ..................................................................................................... 101
5.2 Methodology .................................................................................................... 103
5.2.1 Simulation cell .......................................................................................... 103
5.2.2 Monte Carlo simulation ............................................................................ 104
5.2.3 Generalized stacking fault energy ............................................................ 104
5.2.4 Computational details ............................................................................... 106
5.3 Results and discussion ..................................................................................... 107
5.4 Summary .......................................................................................................... 115
Chapter 6. Conclusion ......................................................................................... 116
Reference ................................................................................................................... 118
Appendix A ................................................................................................................ 124
Appendix B ................................................................................................................ 134
-
dc.language.isoen-
dc.subject高熵合金-
dc.subject中熵合金-
dc.subject古典力場模型-
dc.subject相分離-
dc.subject化學短程有序-
dc.subject疊差能-
dc.subject滑移能障-
dc.subject分子動力學模擬-
dc.subjecthigh-entropy alloy-
dc.subjectmedium-entropy alloy-
dc.subjectCoCrFeMnNi-
dc.subjectCoCrNi-
dc.subject2NN MEAM-
dc.subjectinteratomic potential-
dc.subjectphase separation-
dc.subjectchemical short-range order-
dc.subjectstacking fault energy-
dc.subjectslip barrier-
dc.subjectfirst-principles calculations-
dc.subjectmolecular dynamics simulation-
dc.title2NN MEAM 古典力場模型之建立及 CoCrFeMnNi 相分離與 CoCrNi、 CoCrFeMnNi 機械性質之原子尺度研究zh_TW
dc.titleDevelopment of 2NN MEAM Potentials and Atomistic Study of Phase Separation in CoCrFeMnNi and Mechanical Properties of CoCrNi and CoCrFeMnNi Alloysen
dc.typeThesis-
dc.date.schoolyear114-2-
dc.description.degree碩士-
dc.contributor.oralexamcommittee楊哲人;包淳偉;羅友杰;吳鉉忠zh_TW
dc.contributor.oralexamcommitteeJer-Ren Yang;Chun-Wei Pao;Yu-Chieh Lo;Hsuan-Chung Wuen
dc.subject.keyword高熵合金; 中熵合金; 古典力場模型; 相分離; 化學短程有序; 疊差能; 滑移能障; 分子動力學模擬zh_TW
dc.subject.keywordhigh-entropy alloy; medium-entropy alloy; CoCrFeMnNi; CoCrNi; 2NN MEAM; interatomic potential; phase separation; chemical short-range order; stacking fault energy; slip barrier; first-principles calculations; molecular dynamics simulationen
dc.relation.page148-
dc.identifier.doi10.6342/NTU202601050-
dc.rights.note未授權-
dc.date.accepted2026-05-20-
dc.contributor.author-college工學院-
dc.contributor.author-dept材料科學與工程學系-
dc.date.embargo-liftN/A-
顯示於系所單位:材料科學與工程學系

文件中的檔案:
檔案 大小格式 
ntu-114-2.pdf
  未授權公開取用
34.4 MBAdobe PDF
顯示文件簡單紀錄


系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。

社群連結
聯絡資訊
10617臺北市大安區羅斯福路四段1號
No.1 Sec.4, Roosevelt Rd., Taipei, Taiwan, R.O.C. 106
Tel: (02)33662353
Email: ntuetds@ntu.edu.tw
意見箱
相關連結
館藏目錄
國內圖書館整合查詢 MetaCat
臺大學術典藏 NTU Scholars
臺大圖書館數位典藏館
本站聲明
© NTU Library All Rights Reserved