Acta Metall Sin  1993, Vol. 29 Issue (3): 19-24    DOI:

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FRACTAL ANALYSIS OF DIRECTIONAL SOLIDIFICATION BEHAVIOUR OF Ni-BASE SUPERALLOY

SUN LiLing;DONG Lianke;ZHANG Jishan;ZHANG Jinghua;HU Zhuangqi Institute of metal Research; Academia Sinica; Shenyang Institute of Metal Research;Academia Sinica;Shenyang 110015

SUN LiLing;DONG Lianke;ZHANG Jishan;ZHANG Jinghua;HU Zhuangqi Institute of metal Research; Academia Sinica; Shenyang Institute of Metal Research;Academia Sinica;Shenyang 110015. FRACTAL ANALYSIS OF DIRECTIONAL SOLIDIFICATION BEHAVIOUR OF Ni-BASE SUPERALLOY. Acta Metall Sin, 1993, 29(3): 19-24.

Abstract References Related Articles Recommended Metrics Download:  PDF(744KB)  Export:  BibTeX | EndNote (RIS)       Abstract  The statistically significant experimental technique was developed to investi-gate the directional solidification behavior of a nickel-base superalloy. This technique in-volves quantitative description of the rough level of the solid/liquid interface by means offractal analyses. The image analysis system technique was employed and the fractal dimensionof the solid / liquid interface of the test alloy was obtained. The relations among the fractal dimensions of the solid / liquid interface, solidification rate, dendrite arm spacing and thephosphorus content in the test alloys have been given. It was found that the increases of thesolidification rate and the phosphorus content in the test alloy will lead to increasing fractaldimension of the solid / liquid interface with index law. Furthermore, combining the fractaltheory and the thermodynamic principle with the measured results, it has been proved that thefractal dimension is far from simple geometrical parameter used in describing irregular geom-etry. It is a state function which depends on different physical parameters. Key words:  fractal dimension      solid/liquid interface      solidification rate      phosphorus      superalloy      Received:  18 March 1993      Service E-mail this article Add to citation manager E-mail Alert RSS （） Articles by authors URL:  https://www.ams.org.cn/EN/     OR     https://www.ams.org.cn/EN/Y1993/V29/I3/19 1 Mandelbrot B B. The Fractal Geometry of Nature, New York, W. H. Free-Man, 1983 2 Lung C W, Mu Z Q. Phys Rev, 1988; 38B; 11781 3 Matsushita M. J Iron Steel Inst Jpn, 1990; 76: 1613 4 Prigogine I. Thermodynamics of Irreversible Process. Springfield, Illinois, USA: Charles C Thomas Publisher, 1956 5 董连柯,分形理论及其应用.沈阳:辽宁科学技术出版社,1991 6 Flemings M C. Solidification Processing. New York: McGraw-Hill, 1974 7 Zhu Y X, Zhang C N, Zhang T X. In: Antolovich D, Stusrud H W, Mackay R A eds., Superalloys 1992, Proc 7th Int Symp on Superalloys, Warrendale; AIMS, 1992: 1458 [1] LI Jiarong, DONG Jianmin, HAN Mei, LIU Shizhong. Effects of Sand Blasting on Surface Integrity and High Cycle Fatigue Properties of DD6 Single Crystal Superalloy[J]. 金属学报, 2023, 59(9): 1201-1208. [2] ZHANG Jian, WANG Li, XIE Guang, WANG Dong, SHEN Jian, LU Yuzhang, HUANG Yaqi, LI Yawei. Recent Progress in Research and Development of Nickel-Based Single Crystal Superalloys[J]. 金属学报, 2023, 59(9): 1109-1124. [3] WANG Lei, LIU Mengya, LIU Yang, SONG Xiu, MENG Fanqiang. Research Progress on Surface Impact Strengthening Mechanisms and Application of Nickel-Based Superalloys[J]. 金属学报, 2023, 59(9): 1173-1189. [4] LU Nannan, GUO Yimo, YANG Shulin, LIANG Jingjing, ZHOU Yizhou, SUN Xiaofeng, LI Jinguo. Formation Mechanisms of Hot Cracks in Laser Additive Repairing Single Crystal Superalloys[J]. 金属学报, 2023, 59(9): 1243-1252. [5] GONG Shengkai, LIU Yuan, GENG Lilun, RU Yi, ZHAO Wenyue, PEI Yanling, LI Shusuo. Advances in the Regulation and Interfacial Behavior of Coatings/Superalloys[J]. 金属学报, 2023, 59(9): 1097-1108. [6] BAI Jiaming, LIU Jiantao, JIA Jian, ZHANG Yiwen. Creep Properties and Solute Atomic Segregation of High-W and High-Ta Type Powder Metallurgy Superalloy[J]. 金属学报, 2023, 59(9): 1230-1242. [7] BI Zhongnan, QIN Hailong, LIU Pei, SHI Songyi, XIE Jinli, ZHANG Ji. Research Progress Regarding Quantitative Characterization and Control Technology of Residual Stress in Superalloy Forgings[J]. 金属学报, 2023, 59(9): 1144-1158. [8] FENG Qiang, LU Song, LI Wendao, ZHANG Xiaorui, LI Longfei, ZOU Min, ZHUANG Xiaoli. Recent Progress in Alloy Design and Creep Mechanism of γ'-Strengthened Co-Based Superalloys[J]. 金属学报, 2023, 59(9): 1125-1143. [9] ZHENG Liang, ZHANG Qiang, LI Zhou, ZHANG Guoqing. Effects of Oxygen Increasing/Decreasing Processes on Surface Characteristics of Superalloy Powders and Properties of Their Bulk Alloy Counterparts: Powders Storage and Degassing[J]. 金属学报, 2023, 59(9): 1265-1278. [10] MA Dexin, ZHAO Yunxing, XU Weitai, WANG Fu. Effect of Gravity on Directionally Solidified Structure of Superalloys[J]. 金属学报, 2023, 59(9): 1279-1290. [11] CHEN Jia, GUO Min, YANG Min, LIU Lin, ZHANG Jun. Effects of W Concentration on Creep Microstructure and Property of Novel Co-Based Superalloys[J]. 金属学报, 2023, 59(9): 1209-1220. [12] ZHAO Peng, XIE Guang, DUAN Huichao, ZHANG Jian, DU Kui. Recrystallization During Thermo-Mechanical Fatigue of Two High-Generation Ni-Based Single Crystal Superalloys[J]. 金属学报, 2023, 59(9): 1221-1229. [13] JIANG He, NAI Qiliang, XU Chao, ZHAO Xiao, YAO Zhihao, DONG Jianxin. Sensitive Temperature and Reason of Rapid Fatigue Crack Propagation in Nickel-Based Superalloy[J]. 金属学报, 2023, 59(9): 1190-1200. [14] MU Yahang, ZHANG Xue, CHEN Ziming, SUN Xiaofeng, LIANG Jingjing, LI Jinguo, ZHOU Yizhou. Modeling of Crack Susceptibility of Ni-Based Superalloy for Additive Manufacturing via Thermodynamic Calculation and Machine Learning[J]. 金属学报, 2023, 59(8): 1075-1086. [15] LIU Xingjun, WEI Zhenbang, LU Yong, HAN Jiajia, SHI Rongpei, WANG Cuiping. Progress on the Diffusion Kinetics of Novel Co-based and Nb-Si-based Superalloys[J]. 金属学报, 2023, 59(8): 969-985. No Suggested Reading articles found! Viewed Full text Abstract Cited   Shared      Discussed