Analyzing Thermodynamic Modeling and Phase Stability in Ultra-High-Temperature Ceramics for Space Exploration: A Review
DOI:
https://doi.org/10.26740/vubeta.v3i3.52866Keywords:
UHTCs, Thermodynamic Modeling, Space Exploration, Phase StabilityAbstract
This review aims to comprehensively evaluate the thermodynamic properties and phase stability of ultra-high-temperature ceramics (UHTCs) using the CALPHAD (CALculation of PHAse Diagrams) approach. UHTCs exhibit exceptional properties, including high melting points, superior hardness, and thermal shock resistance, making them promising materials for aerospace applications and high-temperature scientific instrumentation. The study focuses on phase equilibria in binary systems, including Zr–B, Hf–B, Ta–B, Mo–B, Zr–C, Hf–C, Ta–C, and Mo–C, as well as multicomponent Zr–Hf–(Ta,Mo)–C systems. Despite their technological importance, comprehensive thermodynamic assessments remain limited, particularly due to insufficient experimental data and incomplete coverage in existing thermodynamic databases. The primary objective is to assess thermodynamic properties, including Gibbs energy of formation, enthalpy of formation, heat capacity, and phase stability, through computational thermodynamic modeling. The CALPHAD methodology is employed to calculate component activities, construct phase diagrams, and map phase equilibria across different compositions and temperatures. Temperature-dependent Gibbs energy functions are used to predict equilibrium phase relationships, phase transformations, and critical equilibrium points. The analysis integrates available experimental information with computational models to establish consistent thermodynamic descriptions of relevant ceramic systems. Furthermore, the review identifies knowledge gaps and highlights the need for additional experimental investigations to improve thermodynamic databases and validate predicted phase equilibria. Ultimately, this assessment provides a theoretical foundation for optimizing UHTC compositions, understanding high-temperature phase behavior, and supporting the development of advanced ceramic materials with enhanced thermal and mechanical performance for extreme operating environments, particularly in aerospace engineering.
References
[1] H. Xiang et al., "High-entropy ceramics: Present status, challenges, and a look forward," J. Adv. Ceram., vol. 10, no. 3, pp. 385–441, 2021. https://doi.org/10.1007/s40145-021-0477-y
[2] W. G. Fahrenholtz and G. E. Hilmas, "Ultra-high temperature ceramics: Materials for extreme environments," Scr. Mater., vol. 129, pp. 94–99, 2017. https://doi.org/10.1016/j.scriptamat.2016.10.018
[3] P. Lopez-Varo et al., "Physical aspects of ferroelectric semiconductors for photovoltaic solar energy conversion," Phys. Rep., vol. 653, pp. 1–40, 2016. https://doi.org/10.1016/j.physrep.2016.07.006
[4] S. Buckley, E. Fosness, and W. Gammill, "Deployment and release devices efforts at the Air Force Research Laboratory space vehicles directorate," in AIAA Space 2001 Conf. Expo., 2001. https://doi.org/10.2514/6.2001-4601
[5] J. W. Christian and H. M. Otte, "The theory of transformations in metals and alloys," Phys. Today, vol. 19, no. 8, pp. 78–81, 1966. https://doi.org/10.1063/1.3048417
[6] B. Wang, Y. Yao, X. Yu, C. Wang, C. Wu, and Z. Zou, "Understanding the enhanced catalytic activity of high entropy alloys: From theory to experiment," J. Mater. Chem. A, vol. 9, no. 35, pp. 19410–19438, 2021. https://doi.org/10.1039/d1ta02718b
[7] M. M. Mansour, I. K. Erabee, and A. M. Lafta, "Comprehensive analysis of water based emulsion drilling fluids in GHARRAF oil field in southern Iraq: Properties, specifications, and practical applications," Int. J. Comput. Methods Exp. Meas., vol. 12, no. 3, pp. 297–307, 2024. https://doi.org/10.18280/ijcmem.120310
[8] H. S. Salman, M. M. Mansour, A. M. Lafta, and A. J. Shkarah, "Modification design and process of pipeline to reduce erosion rate and deposited," Int. J. Comput. Methods Exp. Meas., vol. 12, no. 2, pp. 165–173, Jun. 2024. https://doi.org/10.18280/ijcmem.120206
[9] M. Mansour and K. Al-hamdani, "Key performance indicators for evaluating the efficiency of production processes in food industry," Passer J. Basic Appl. Sci., vol. 6, no. 2, pp. 494–504, 2024. https://doi.org/10.24271/psr.2024.450557.1555
[10] M. M. Mansour, H. S. Salman, A. J. Shkarah, S. R. Nashee, and A. M. Lafta, "Simulation of a sustainable manufacturing system for power plant: Case study," Libr. Prog. Int., vol. 44, no. 2s, pp. 909–924, 2024.
[11] M. M. Mansour and K. S. M. Al-hamdani, "Tabu search algorithm to optimize layout design for a multi objective plant function," Passer J., vol. 6, no. 2, pp. 446–452, 2024. https://doi.org/10.24271/psr.2024.450554.1554
[12] N. Najm and M. M. Mansour, "The role of waste reduction technology in sustainable recycling of waste paper at Thi-Qar University," Int. J. Sustain. Dev. Plan., vol. 19, no. 8, pp. 3153–3163, 2024. https://doi.org/10.18280/ijsdp.190828
[13] M. M. Mansour and A. A. Ugla, "Employing genetic algorithm to optimize manufacturing cells design," Acad. J. Manuf. Eng., vol. 22, no. 3, 2024.
[14] M. M. Mansour, H. M. Hamood, A. M. Lafta, S. R. Nashee, and A. J. Shkarah, "Enhancing the efficacy of adsorption-based carbon storage systems: A finite element analysis approach," Int. J. Energy Prod. Manag., vol. 9, no. 1, pp. 19–24, 2024. https://doi.org/10.18280/ijepm.090103
[15] M. M. Mansour, H. S. Salman, A. M. Lafta, S. R. Nashee, and A. J. Shkarah, "Simulation analysis of protection oil pipe in platform to reduced corrosion and erosion defect with sustainability technique," Math. Model. Eng. Probl., vol. 11, no. 5, pp. 1171–1178, 2024. https://doi.org/10.18280/mmep.110505
[16] H. M. Hamood, M. M. Mansour, A. M. Lafta, and S. R. Nashee, "Numerical investigation to study the effect of three height of triangular obstacles on heat transfer of nanofluids in a microchannel," Int. Rev. Mech. Eng. (IREME), vol. 17, no. 11, p. 533, 2023. https://doi.org/10.15866/ireme.v17i11.23627
[17] M. J. Abdulhasan, H. S. Abdulaali, Q. L. Al-Doori, H. S. Dakheel, R. H. Al-Abdan, F. R. Alhachami, and Hameed,
[18] J., S. J. Shoia, and M. M. Mansour, "Physicochemical and heavy metal properties of soil samples in waste disposal site, Suq Al-Shyokh, Iraq," in Proc. 2022 Int. Symp. Multidiscip. Stud. Innov. Technol. (ISMSIT), 2022. https://doi.org/10.1109/ismsit56059.2022.9932750
[19] Thianpong, K. Wongcharee, K. Kunnarak, S. Chokphoemphun, S. Chamoli, and S. Eiamsa-Ard, "Parametric study on thermal performance augmentation of TiO2/water nanofluids flowing a tube contained with dual counter twisted-tapes," Case Stud. Therm. Eng., vol. 59, Art. no. 104471, 2024. https://doi.org/10.1016/j.csite.2024.104471
[20] L. B. Said et al., "Melting thermal process in buoyancy driven radiated flow of (MoS2-SiO2-Au)/H2O near the stagnant point under mixed convection," Case Stud. Therm. Eng., vol. 60, Art. no. 104615, 2024. https://doi.org/10.1016/j.csite.2024.104615
[21] J. Zhao, D. Wei, Y. Wang, and D. Liu, "Transient thermal regulation mechanisms of composite structures with interface thermal resistance," Case Stud. Therm. Eng., vol. 61, Art. no. 104846, 2024. https://doi.org/10.1016/j.csite.2024.104846
[22] C. Ji, H. Waqas, D. Liu, C. Kang, and T. Muhammad, "Melting performance improvement of phase change materials with thermal energy storage unit using nanoparticles," Case Stud. Therm. Eng., vol. 61, Art. no. 104892, 2024. https://doi.org/10.1016/j.csite.2024.104892
[23] C. Yang et al., "Investigation of the immersion cooling system for 280Ah LiFePO4 batteries: Effects of flow layouts and fluid types," Case Stud. Therm. Eng., vol. 61, Art. no. 104922, 2024. https://doi.org/10.1016/j.csite.2024.104922
[24] K. Alberi et al., "The 2019 materials by design roadmap," J. Phys. D, Appl. Phys., vol. 52, no. 1, Art. no. 013001, 2018. https://doi.org/10.1088/1361-6463/aad926
[25] J. J. de Pablo et al., "New frontiers for the materials genome initiative," npj Comput. Mater., vol. 5, no. 1, 2019. https://doi.org/10.1038/s41524-019-0173
[26] M. Esmaily et al., "Fundamentals and advances in magnesium alloy corrosion," Prog. Mater. Sci., vol. 89, pp. 92–193, 2017. https://doi.org/10.1016/j.pmatsci.2017.04.011
[27] M. L. Green et al., "Fulfilling the promise of the materials genome initiative with high-throughput experimental methodologies," Appl. Phys. Rev., vol. 4, no. 1, 2017. https://doi.org/10.1063/1.497748
[28] Y. Han et al., "Ultra-dense dislocations stabilized in high entropy oxide ceramics," Nat. Commun., vol. 13, no. 1, 2022. https://doi.org/10.1038/s41467-022-30260-4
[29] G. M. Kontogeorgis et al., "Industrial requirements for thermodynamic and transport properties: 2020," Ind. Eng. Chem. Res., vol. 60, no. 13, pp. 4987–5013, 2021. https://doi.org/10.1021/acs.iecr.0c05356
[30] N. S. Lewis et al., "Basic research needs for solar energy utilization," Rep. Basic Energy Sci. Workshop Solar Energy Utilization, Apr. 18–21, 2005. https://doi.org/10.2172/899136
[31] M. M. Mansour, "Using sustainable technique to recycle waste paper in academic institutions," Al-Bahir J. Eng. Pure Sci., vol. 5, no. 1, Art. 5, 2024. https://doi.org/10.55810/2313-0083.1069
[32] F. Findik, "Review of high temperature materials," Heritage Sustain. Dev., vol. 5, no. 2, pp. 213–228, 2023. https://doi.org/10.37868/hsd.v5i2.163
[33] H. Xu et al., "Entropy-stabilized single-atom Pd catalysts via high-entropy fluorite oxide supports," Nat. Commun., vol. 11, no. 1, 2020. https://doi.org/10.1038/s41467-020-17738-9
[34] H. Yang et al., "The latest process and challenges of microwave dielectric ceramics based on pseudo phase diagrams," J. Adv. Ceram., vol. 10, no. 5, pp. 885–932, 2021. https://doi.org/10.1007/s40145-021-0528-4
[35] H. Zhang et al., J. Am. Ceram. Soc., vol. 103, no. 9, pp. 4890–4901, 2020.
[36] W. G. Fahrenholtz et al., J. Mater. Sci., vol. 45, pp. 595–610, 2010.
[37] S. Dunn et al., NASA TP-2002-210795, High Temp. Mater. Processes, 2015.
[38] N. Saunders and A. P. Miodownik, CALPHAD (Calculation of Phase Diagrams): A Comprehensive Guide. Pergamon, 1998.
[39] F. Monteverde, Corros. Sci., vol. 55, pp. 60–65, 2012; NASA TM.
[40] Kumar and A. Kumar, "Exploring strongly correlated rare-earth intermetallics: Theoretical insights into RIn3 and RSn3 (R = Sm, Eu, Gd)," 2025. [Online]. Available: https://jjp.yu.edu.jo/index.php/jjp/article/view/1279
[41] Kumar, H. Etabti, K. Kumar, and A. Kumar, "Density functional study of barium and strontium boron hydrides for hydrogen storage and optoelectronic applications," Sci. Rep., vol. 16, no. 1, p. 3317, 2025. https://doi.org/10.1038/s41598-025-33294-y
[42] Kumar, K. Kumar, A. Kumar, and P. K. Pathak, "Ab initio insights into Rb- and Cs-based SbPbH6 hydride double perovskites for thermoelectric performance and hydrogen storage," AIP Adv., vol. 15, no. 12, 2025. https://doi.org/10.1063/5.0306937
[43] Kumar, K. Kumar, A. Kumar, and P. K. Pathak, "Ab initio insights into Rb- and Cs-based SbPbH6 hydride double perovskites for thermoelectric performance and hydrogen storage," AIP Adv., vol. 15, no. 12, 2025. https://doi.org/10.1063/5.0306937
[44] Kumar et al., "Computational study of Ba-doped TiO3 perovskites for solar energy applications," Mater. Phys. Mech., 2026. https://doi.org/10.18149/mpm.5362025_5
[45] Kumar et al., "Computational analysis of chalcogenide perovskites CaXS3 (X = Sn, Zr, and Hf) for photovoltaics applications," Indian J. Phys., vol. 100, no. 2, pp. 493–508, 2025. https://doi.org/10.1007/s12648-025-03791-x
[46] Kumar et al., "Computational analysis of chalcogenide perovskites CaXS3 (X = Sn, Zr, and Hf) for photovoltaics applications," Indian J. Phys., vol. 100, no. 2, pp. 493–508, 2025. https://doi.org/10.1007/s12648-025-03791-x
[47] Kumar et al., "A comparative study of A₂AgInCl₆ (A = Na, K) double perovskites: Stability and suitability for energy technologies," Next Mater., vol. 9, Art. no. 101308, 2025. https://doi.org/10.1016/j.nxmate.2025.101308
[48] T. J. Harrington et al., "Phase stability and thermodynamics of high-entropy carbides and borides," J. Mater. Res., vol. 38, no. 7, pp. 1456–1472, 2023.
[49] J. Gild et al., "High-entropy ultra-high-temperature ceramics: Current status and future prospects," Scr. Mater., vol. 214, Art. no. 114648, 2022.
[50] N. Dupin, I. Ansara, and H. Lukas, "Thermodynamic assessments of refractory carbide systems for aerospace applications," CALPHAD, vol. 81, Art. no. 102580, 2023.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Hayder Abdulhasan Lafta, mustafa mansour, Alaa M. Lafta

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Abstract views: 162
,
PDF Downloads: 9





