元胞自动机-有限元法模拟碳当量元素对亚共晶球墨铸铁流动性的影响

doi:10.13229/j.cnki.jdxbgxb20190607

摘要/Abstract

摘要：

优化了元胞自动机-有限元法（CAFE）模拟球墨铸铁晶粒组织的参数系统。基于前期大量试验结果，对共晶晶粒的面形核参数和体形核参数进行了优化，并利用优化后的参数对不同碳、硅质量分数的球墨铸铁螺旋试样的流长和流股尖端的凝固组织进行了模拟。在验证试验中，针对难以观测到的球铁共晶晶粒，采用构网算法实现了晶界建模，分别将得到的螺旋试样流长、Voronoi晶粒分布图与模拟结果进行对比。结果表明：在对亚共晶球铁试样进行增碳或增硅处理后，螺旋试样流股末端的晶粒得到了细化，试样流动性得到了提高。此外，模拟结果与试验验证结果的吻合度较高，证明可通过数值模拟评价试样的流动性。

关键词: 金属材料, 亚共晶球墨铸铁, 元胞自动机-有限元法, 碳当量元素, 合金流动性, 构网算法, 晶粒细化

Abstract:

The parameter system of the Cellular Automata Finite Element method （CAFE） for simulating ductile iron grain structure was optimized. Based on a large number of preliminary experiments， the surface nucleation parameters and the nucleus parameters of the eutectic grains were optimized. The flow length of the spheroidal graphite spiral samples with various carbon and silicon contents and the solidification structure at the tip of the stream were simulated. In the verification test， the grain boundary model was realized by the constitutive algorithm for the inconspicuous ductile iron eutectic grains. The flow length of the obtained spiral sample and Voronoi grain distribution map were compared with the simulation results. It was shown that after the carbonization or silicon enhancement treatment， the crystal grains at the end of the spiral sample stream were refined in the hypoeutectic ductile iron sample， and the fluidity of the sample was improved. Moreover， the simulation results are in good agreement with the experimental verification results， and the method for evaluating the fluidity by numerical simulation is established.

Key words: metal material, hypoeutectic ductile iron, cellular automata finite element method（CAFE） method, carbon equivalent element, alloy fluidity, network algorithm, grain refinement

中图分类号:

TG143.5

王金国,黄恺,闫瑞芳,任帅,王志强,郭劲. 元胞自动机-有限元法模拟碳当量元素对亚共晶球墨铸铁流动性的影响[J]. 吉林大学学报(工学版), 2021, 51(3): 855-865.

Jin-guo WANG,Kai HUANG,Rui-fang YAN,Shuai REN,Zhi-qiang WANG,Jin GUO. Effect of carbon equivalent elements on fluidity of hypoeutectic ductile iron by cellular automata finite element method[J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(3): 855-865.

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编号	w(C)	w(Si)	w(Mn)	w(Cu)	w(Ni)
A1	2.8	2.85	0.2	0.6	0.65
A2	3.1	2.85	0.2	0.6	0.65
A2	3.4	2.85	0.2	0.6	0.65
B1	3.1	2.55	0.2	0.6	0.65
B2	3.1	2.85	0.2	0.6	0.65
B3	3.1	3.15	0.2	0.6	0.65

编号	质量分数/%	T_l/K	T_s/K	a₂/m	a₃/m
A1	2.8	1278	1166	3.46×10^-8	3.61×10^-9
A2	3.1	1252	1169	3.01×10^-8	3.02×10^-9
A3	3.4	1227	1168	2.64×10^-8	2.55×10^-9

编号	质量分数/%	T_l/K	T_s/K	a₂/m	a₃/m
B1	2.55	1255	1166	3.02×10^-8	3.03×10^-9
B2	2.85	1252	1169	3.01×10^-8	3.02×10^-9
B3	3.15	1248	1171	2.99×10^-8	2.99×10^-9

参数	A1	A2	A3
晶粒数量	14 343	17 752	21 238
晶粒平均直径/μm	63.73	57.39	51.06

参数	A1	A2	A3
晶粒数量	6843	8517	14 896
晶粒平均直径/μm	69.94	58.80	41.84