(1. 東北大學(xué)材料與冶金學(xué)院；沈陽110006;
2. 東北大學(xué)軋制與連軋自動(dòng)化國家重點(diǎn)實(shí)驗(yàn)室，沈陽110006)
摘 要: 對(duì)平輥冷軋過程6～36單元用體積可壓縮法剛塑性有限元進(jìn)行數(shù)值模擬, 研究了松弛因子發(fā)生的區(qū)間和對(duì)收斂性的影響。發(fā)現(xiàn)松弛因子在0.5～0.59之間連續(xù)變化時(shí)程序收斂, 占取值區(qū)間的10%。在收斂判據(jù)處理上, 電算表明如果泛函的一階導(dǎo)數(shù)逐漸變小, 迭代的速度增量逐漸變小至0, 或者速度變化和能耗率泛函變化逐漸變小, 則迭代收斂。
關(guān)鍵字: 有限元；冷軋；松馳因子；收斂判據(jù)
（1. School of Material and Metallurgy, Northeastern University, Shenyang 110006, P.R.China
2. State Key Laboratory of Rolling and Continuous Rolling Automation,
Northeastern University, Shenyang 11006，P.R.China）
Abstract:The volume compressible rigid plasticity finite element method(RPFEM) has been used to numerically simulate the flat roll cold rolling process for 6～36 elements. Attention is given to the range of relaxation factor at convergence and its effect on convergency. It is found that the relaxation factor lying between 0.5 and 0.59 and continuous change can assure the convergence of the program, accounting for 10% of the whole range of relaxation factor. It is shown that in convergence criterion treatment, if one rank derivative of functional becomes small gradually and the velocity increment decreases gradually, or if change of speed and functional decreases gradually, the program will converge.
Key words: finite element method; cold rolling; relaxation factor; convergence criterion
