<?xml version="1.0" encoding="utf-8"?>
<XML>
<ISCJOURNAL>
<YEAR>2026</YEAR>
<VOL>6</VOL>
<NO>2</NO>
<PAGE_NO>13</PAGE_NO>
<ARTICLES>
			<ARTICLE>
				<TitleF></TitleF>
				<TitleE>Numerical investigation of die thickness and height effects on temperature distribution and energy consumption during spark plasma sintering of TiB2</TitleE>
				<TitleLang_ID>en</TitleLang_ID>
				<ABSTRACTS>
					<ABSTRACT>
						<Language_ID>en</Language_ID>
						<CONTENT>Precise temperature control during spark plasma sintering is critically important because it directly affects densification kinetics, microstructural evolution, and the final mechanical properties of the sintered component. However, direct temperature measurement inside the tooling remains experimentally inaccessible, and the complex interactions among electro-thermal coupling, contact resistances, and tooling geometry make process optimization particularly challenging. Numerical and experimental studies specifically addressing conductive TiB2 ceramics remain limited. This work establishes a coupled electro‑thermal finite element model, validated against experimental pyrometer data, to evaluate the effects of die wall thickness (7 mm, 14 mm, and 28 mm) and die height (11 mm, 22 mm, and 35 mm) on current and temperature distribution, thermal uniformity, heating rates, and energy consumption while fully incorporating electrical and thermal contact resistances and graphite sheet interlayers. Results demonstrate that die height dominates thermal performance. Increasing height from 11 mm to 35 mm reduces the sample center temperature from 1932 °C to 1754 °C, while increasing the die surface radiative loss from 1675 W to 3592 W. The heating rate at the sample center decreases from 140 °C/min to 116 °C/min as height increases to 35 mm, while the die surface heating rate drops more sharply from 130 °C/min to 80 °C/min, widening the difference from 10 °C/min to 36 °C/min. In contrast, increasing wall thickness from 7 mm to 28 mm raises radiative loss more modestly from 2351 W to 2792 W, while the sample center temperature declines from 1992 °C to 1878 °C. The heating rate at the sample center decreases from 150 °C/min to 116 °C/min, and the die surface heating rate drops from 120 °C/min to 76 °C/min. The required input power to maintain 1900 °C at the sample center is lowest for the 7 mm thick die (9596 W). For die height, the 22 mm configuration minimizes power consumption (10103 W) by surrounding the punch and reducing heat accumulation inside it, whereas increasing the height to 35 mm yields no additional energy savings due to increased die surface losses. These findings quantitatively establish die height as the primary lever for controlling current focusing and thermal efficiency.</CONTENT>
					</ABSTRACT>
				</ABSTRACTS>
				<PAGES>
					<PAGE>
						<FPAGE>97</FPAGE>
						<TPAGE>109</TPAGE>
					</PAGE>
				</PAGES>
				<AUTHORS>
					<AUTHOR>
						<NameE>Ramin</NameE>
						<MidNameE></MidNameE>		
						<FamilyE>Meshkabadi</FamilyE>
						<Organizations>
							<Organization>Faculty of Advanced Technologies</Organization>
						</Organizations>
						<Universities>
							<University>University of Mohaghegh Ardabili, Ardabil</University>
						</Universities>
						<Countries>
							<Country>Iran</Country>
						</Countries>
						<EMAILS>
							<Email>R_meshkabadi@uma.ac.ir</Email>			
						</EMAILS>
					</AUTHOR>
					<AUTHOR>
						<NameE>Milad</NameE>
						<MidNameE></MidNameE>		
						<FamilyE>Sakkaki</FamilyE>
						<Organizations>
							<Organization>Faculty of Mechanical Engineering</Organization>
						</Organizations>
						<Universities>
							<University>University of Tabriz, Tabriz</University>
						</Universities>
						<Countries>
							<Country>Iran</Country>
						</Countries>
						<EMAILS>
							<Email></Email>			
						</EMAILS>
					</AUTHOR>
					<AUTHOR>
						<NameE>Vahid</NameE>
						<MidNameE></MidNameE>		
						<FamilyE>Pouyafar</FamilyE>
						<Organizations>
							<Organization>Faculty of Mechanical Engineering</Organization>
						</Organizations>
						<Universities>
							<University>University of Tabriz, Tabriz</University>
						</Universities>
						<Countries>
							<Country>Iran</Country>
						</Countries>
						<EMAILS>
							<Email></Email>			
						</EMAILS>
					</AUTHOR>
				</AUTHORS>
				<KEYWORDS>
					<KEYWORD>
						<KeyText>Spark plasma sintering</KeyText>
					</KEYWORD>
					<KEYWORD>
						<KeyText>Titanium diboride</KeyText>
					</KEYWORD>
					<KEYWORD>
						<KeyText>Finite element method</KeyText>
					</KEYWORD>
					<KEYWORD>
						<KeyText>Contact resistance</KeyText>
					</KEYWORD>
					<KEYWORD>
						<KeyText>Temperature distribution</KeyText>
					</KEYWORD>
					<KEYWORD>
						<KeyText>Energy efficiency </KeyText>
					</KEYWORD>
				</KEYWORDS>
				<PDFFileName>Vol 6 No 2 Paper 3.pdf</PDFFileName>
				<REFRENCES>
				<REFRENCE>
					<REF>[1]	W.G. Fahrenholtz, E.J. Wuchina, W.E. Lee, Y. Zhou, Ultra‐High Temperature Ceramics, Materials for Extreme Environment Applications, The American Ceramic Society, Wiley. (2014). https://doi.org/10.1002/9781118700853.
##[2]	B.C. Wyatt, S.K. Nemani, G.E. Hilmas, E.J. Opila, B. Anasori, Ultra-high temperature ceramics for extreme environments, Nat. Rev. Mater. 9 (2023) 773–789. https://doi.org/10.1038/s41578-023-00619-0.
##[3]	D. Sciti, L. Silvestroni, V. Medri, F. Monteverde, Sintering and Densification Mechanisms of Ultra‐High Temperature Ceramics, Ultra‐High Temperature Ceramics, Wiley. (2014) 112–143. https://doi.org/10.1002/9781118700853.ch6.
##[4]	A. Ruys, O. Gingu, G. Sima, S. Maleksaeedi, Powder Processing of Bulk Components in Manufacturing, Handbook of Manufacturing Engineering and Technology, London: Springer, London. (2013) 1–69. https://doi.org/10.1007/978-1-4471-4976-7_48-4.
##[5]	T.N. Maity, N.K. Gopinath, K. Biswas, B. Basu, Spark Plasma Sintering of Ultrahigh Temperature Ceramics, Spark Plasma Sintering of Materials, Springer International Publishing. (2019). https://doi.org/10.1007/978-3-030-05327-7_13.
##[6]	A.M. Laptev, M. Bram, D. Garbiec, J. Räthel, A. van der Laan, et al., Tooling in Spark Plasma Sintering Technology: Design, Optimization, and Application, Adv. Eng. Mater. 26 (2024) 2301391. https://doi.org/10.1002/adem.202301391.
##[7]	P. Cavaliere, B. Sadeghi, A. Shabani, Spark Plasma Sintering: Process Fundamentals, Spark Plasma Sintering of Materials, Cham: Springer International Publishing. (2019) 3–20. https://doi.org/10.1007/978-3-030-05327-7_1.
##[8]	A. Bellosi, F. Monteverde, D. Sciti, Fast Densification of Ultra‐High‐Temperature Ceramics by Spark Plasma Sintering, Int. J. Appl. Ceram. Technol. 3 (2006) 32–40. https://doi.org/10.1111/j.1744-7402.2006.02060.x.
##[9]	J.P. Kelly O.A. Graeve, Spark Plasma Sintering as an Approach to Manufacture Bulk Materials: Feasibility and Cost Savings, JOM. 67 (2015) 29–33. https://doi.org/10.1007/s11837-014-1202-x.
##[10]	M. Sakkaki, F. Sadegh Moghanlou, M. Vajdi, M. Shahedi Asl, M. Mohammadi, M. Shokouhimehr, Numerical simulation of heat transfer during spark plasma sintering of zirconium diboride, Ceram. Int. 46 (2020) 4998–5007. https://doi.org/10.1016/j.ceramint.2019.10.240.
##[11]	S. Zhang, W. Liu, W. Wang, Y. Gao, A. Wang, et al., Numerical Simulation of Physical Fields during Spark Plasma Sintering of Boron Carbide, Materials (Basel). 16 (2023) 3967. https://doi.org/10.3390/ma16113967.
##[12]	G. Lee, E.A. Olevsky, C. Manière, A. Maximenko, O. Izhvanov, et al., Effect of electric current on densification behavior of conductive ceramic powders consolidated by spark plasma sintering, Acta Mater. 144 (2018) 524–533. https://doi.org/10.1016/j.actamat.2017.11.010.
##[13]	C. Manière, L. Durand, E. Brisson, H. Desplats, P. Carré, et al., Contact resistances in spark plasma sintering: From in-situ and ex-situ determinations to an extended model for the scale up of the process, J. Eur. Ceram. Soc. 37 (2017) 1593–1605. https://doi.org/10.1016/j.jeurceramsoc.2016.12.010.
##[14]	C. Manière, A. Pavia, L. Durand, G. Chevallier, K. Afanga, C. Estournès, Finite-element modeling of the electro-thermal contacts in the spark plasma sintering process, J. Eur. Ceram. Soc. 36 (2016) 741–748. https://doi.org/10.1016/j.jeurceramsoc.2015.10.033.
##[15]	M. Fattahi, M. Najafi Ershadi, M. Vajdi, F. Sadegh Moghanlou, A. Sabahi Namini, M. Shahedi Asl, On the simulation of spark plasma sintered TiB2 ultra high temperature ceramics: A numerical approach, Ceram. Int. 46 (2020) 14787–14795. https://doi.org/10.1016/j.ceramint.2020.03.003.
##[16]	B. Basu, G.B. Raju, A.K. Suri, Processing and properties of monolithic TiB 2 based materials, Int. Mater. Rev. 51 (2006) 352–374. https://doi.org/10.1179/174328006X102529.
##[17]	X. Lv, Z. Yin, Z. Yang, J. Chen, S. Zhang, et al., Review on the Development of Titanium Diboride Ceramics, Recent Prog. Mater. 06 (2024) 1–48. https://doi.org/10.21926/rpm.2402009.
##[18]	M. Shojaie-bahaabad, M. Bozorg, M. Najafizadeh, P. Cavaliere, Ultra high temperature ceramic coatings in thermal protection systems (TPS), Ceram. Int. 50 (2024) 9937–9951. https://doi.org/10.1016/j.ceramint.2023.12.372.‬‬‬
##[19]	J.R. Ramberg, C.F. Wolfe, W.S. Williams, Resistance of Titanium Diboride to High‐Temperature Plastic Yielding, J. Am. Ceram. Soc. 68 (1985) C-78–C-79. https://doi.org/10.1111/j.1151-2916.1985.tb09637.x.
##[20]	L. Tang, B. Lin, B. Zhang, D. Zhang, Y. Gong, N. Xiong, Research Status of Titanium Diboride High Temperature Ceramics, J. Phys.: Conf. Ser. 2200 (2022) 012024. https://doi.org/10.1088/1742-6596/2200/1/012024.
##[21]	X. Wang, S.R. Casolco, G. Xu, J.E. Garay, Finite element modeling of electric current-activated sintering: The effect of coupled electrical potential, temperature and stress, Acta Mater. 55 (2007) 3611–3622. https://doi.org/10.1016/j.actamat.2007.02.022.
##[22]	Y. Achenani, M. Saâdaoui, A. Cheddadi, G. Bonnefont, G. Fantozzi, Finite element modeling of spark plasma sintering: Application to the reduction of temperature inhomogeneities, case of alumina, Mater. Des. 116 (2017) 504–514. https://doi.org/10.1016/j.matdes.2016.12.054.
##[23]	X. Wei, D. Giuntini, A.L. Maximenko, C.D. Haines, E.A. Olevsky, Experimental Investigation of Electric Contact Resistance in Spark Plasma Sintering Tooling Setup, J. Am. Ceram. Soc. 98 (2015) 3553–3560. https://doi.org/10.1111/jace.13621.
##[24]	C. Maniere, A. Pavia, L. Durand, G. Chevallier, V. Bley, et al., Pulse analysis and electric contact measurements in spark plasma sintering, Electr. Power Syst. Res. 127 (2015) 307–313. https://doi.org/10.1016/j.epsr.2015.06.009.
##[25]	R.M. German, Powder Metallurgy and Particulate Materials Processing: The Processes, Materials, Products, Properties and Applications, Metal Powder Industries Federation, United States. (2005). 
##[26]	F. Sadegh Moghanlou, M. Vajdi, M. Sakkaki, S. Azizi, Effect of graphite die geometry on energy consumption during spark plasma sintering of zirconium diboride, Synth. Sinter. 1 (2021) 54–61. https://doi.org/10.53063/synsint.2021.117.  
					</REF>
				</REFRENCE>
					</REFRENCES>
			</ARTICLE>
			</ARTICLES>
</ISCJOURNAL>
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