基于无网格伽辽金法的板坯传热及力学行为

doi:10.13228/j.boyuan.issn0449-749x.20220253

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Abstract Compared with the numerical computation method based on grid discretization,the meshless method avoids the problems of complex topology structure,element numbering and information transfer by replacing the grid with discrete nodes,and shows great flexibility in simulation and analysis of movement interface of phase transition,large deformation and dynamic crack propagation. A field variable approximation function is constructed based on the moving least squares method. According to the heat transfer characteristics of continuous casting slab during the initial solidification in mold,the control equation of thermo behavior of continuous casting slab based on element-free Galerkin method are constructed and derived. Then combined with the weak form of Galerkin integral and the variation principle,the thermal elastoplastic model for two-dimensional cross-section slab is established. Taking the heat flux calculated inversely from the measured temperatures of copper plate as boundary conditions,the non-uniform heat transfer,stress and strain of initial solidified shell inside mold are simulated and analyzed. The results show that in the width direction of mold,thermo-mechanical behavior shows significant non-uniform characteristics. The stress-strain increases rapidly within 200 mm from the meniscus,and then the growth rate of stress-strain slows down. At 550 mm from the meniscus,the equivalent stress-strain appear maximum values,which are 15.97 MPa and 0.76%. In the width direction,due to the influence of two-dimensional cooling,the temperature of the corner decreases rapidly and the phenomenon of stress concentration appears. However,there is a low valley of stress-strain in the adjacent deflection corner,which is different from the corner in temperature,stress and strain. The results verify the feasibility and applicability of the meshless method to calculate the non-uniform heat transfer and mechanical behavior for continuous casting process,and provide a basis and reference for the application of the meshless method to the research of formation and propagation of slab cracks.

Key words： stress-strain heat transfer thermal elastoplastic element-free Galerkin method continuous casting slab

Received: 15 April 2022

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	SUN Cong-lei
	CAI Lai-qiang
	WANG Xu-dong
	YAO Man

Cite this article:

SUN Cong-lei,CAI Lai-qiang,WANG Xu-dong等. Investigation on thermo-mechanical behavior of continuous casting slab based on element-free Galerkin method[J]. Iron and Steel, 2022, 57(10): 91-100.

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http://www.chinamet.cn/Jweb_gt/EN/10.13228/j.boyuan.issn0449-749x.20220253 OR http://www.chinamet.cn/Jweb_gt/EN/Y2022/V57/I10/91

[1] 张磊,翟冰钰,王万林. 薄板坯连铸及其铸坯表面缺陷的形成机理[J]. 连铸,2020,39(4):22. (ZHANG Lei,ZHAI Bing-yu,WANG Wan-lin. A review of thin slab casting and formation of slab surface defects[J]. Continuous Casting,2020,39(4):22. )
[2] 路殿华,王振鹏,张慧. 微合金化钢连铸坯边角部无缺陷生产技术开发[J]. 连铸,2020(5):66. (LU Dian-hua,WANG Zhen-peng,ZHANG Hui. Development of production technology of micro-alloyed steel continuous casting billet without corner defects[J]. Continuous Casting,2020(5):66. )
[3] 袁航,杨树峰,王田田,等. 亚包晶微合金钢连铸板坯角部横裂纹研究进展[J]. 中国冶金,2020,30(10):1.(YUAN Hang,YANG Shu-feng,WANG Tian-tian,et al. Research progress of transverse corner crack on hypo-peritectic micro-alloyed steel slab[J]. China Metallurgy,2020,30(10):1.)
[4] 赵子豪,魏晶晶,蔡来强,等. 连铸坯实测反问题热弹黏塑性建模与分析[J]. 中国冶金,2021,31(12):39.(ZHAO Zi-hao,WEI Jing-jing,CAI Lai-qiang,et al. Thermal elastic-viscoplastic modeling and analysis of continuous casting slab based on measured inverse problem[J]. China Metallurgy,2021,31(12):39.)
[5] 蔡来强,王旭东,姚曼,等. 连铸圆坯非均匀传热/凝固行为的无网格计算方法[J]. 金属学报,2020,56(8):1165.(CAI Lai-qiang,WANG Xu-dong,YAO Man,et al. Meshless method for non-uniform heat transfer/solidification behavior of continuous casting round billet[J]. Acta Metallurgica Sinica,2020,56(8):1165.)
[6] 申燕强,白明华,高朋垒,等. 不同角部形状特厚矩形坯凝固传热及应变数值模拟[J]. 钢铁,2016,51(4):38.(SHEN Yan-qiang,BAI Ming-hua,GAO Peng-lei,et al. Numerical simulation of heat-transfer and strain during solidification in ultra-thick rectangular slab with different shape of corner[J]. Iron and Steel,2016,51(4):38.)
[7] HU P,WANG X,WEI J,et al. Investigation of liquid/solid slag and air gap behavior inside the mold during continuous slab casting[J]. ISIJ International,2018,58(5):892.
[8] CAI Lai-qiang,WANG Xu-dong,WEI Jing-jing,et al. Element-free galerkin method modeling of thermo-elastic-plastic behavior for continuous casting round billet[J]. Metallurgical and Materials Transactions B,2021,52(2):804.
[9] LIU G R. Meshfree Methods:Moving Beyond the Finite Element Method[M]. 2nd ed. Boca Raton:CRC Press,2009.
[10] 龙述尧. 无网格方法及其在固体力学中的应用[M]. 北京:科学出版社,2014.(LONG Shu-yao. Meshless Method and its Application in Solid Mechanics[M]. Beijing:Science Press,2014.)
[11] 程玉民. 无网格方法[M]. 北京:科学出版社,2015. (CHENG Yu-min. Meshless Method[M]. Beijing:Science Press,2015.)
[12] Vaghefi R,Nayebi A,Hematiyan M. Investigating the effects of cooling rate and casting speed on continuous casting process using a 3D thermo-mechanical meshless approach[J]. Acta Mechanica,2018,229(11):4375.
[13] Mizukami H,Murakami K,Miyashita Y. Mechanical properties of continuously cast steels at high temperatures[J]. Tetsu to Hagane,1977,63(146):652.
[14] Uehara M. Mathematical modelling of the unbending of continuously cast steel slabs[D]. Columbia:University of British Columbia,1983.
[15] Kelly J,Michalek K,O'connor T,et al. Initial development of thermal and stress fields in continuously cast steel billets[J]. Metallurgical Transactions A,1988,19(10):2589.