不同屈服准则对热轧结构钢各向异性行为预测精度对比
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摘要
实验测试了酸洗汽车结构钢QSt E系列热轧钢板不同方向(与轧向分别成0°、45°和90°)的单向拉伸力学性能,获得了其各向异性屈服行为。依据Hill48、Hill90和Barlat89各向异性屈服准则及其参数计算方法,分别建立了QSt E系列钢种的各向异性屈服模型,并将模型预测的不同方向屈服应力及r值与实验结果进行对比分析。结果表明,经优化后的参数求解方法可很好的同时预测单向屈服应力和r值。在r值的预测能力上,不论r值呈抛物线型变化还是单调递增变化,Hill48屈服准则均能很好的预测,Hill90屈服准则仅能很好的预测单调递增变化的情况,而Barlat89屈服准则对两种情况下的预测能力均较弱。
The uniaxial tensile mechanical properties of the QSt E series hot-rolled steel sheets( pickled automotive structural steel) in different directions( with rolling directions of 0°,45° and 90° respectively) were experimentally tested,and anisotropy yield behavior was gained. According to the anisotropic yield criteria of Hill48、Hill90 and Barlat89 and parameter calculation method,the anisotropic yield models of QSt E series steel were established respectively. Meanwhile,the experiment results were compared with the yield stress in different directions and r values predicted by the model. The results show that the optimized solving method of parameters can predict the yield stress and r values simultaneously very well. In the prediction capability of r values,Hill48 yield criterion can predict well regardless of the parabolic or monotonic incremental change of r value,and Hill90 yield criterion can only predict the monotonically increasing variation well,and Barlat89 yield criteria is weak in predicting the two cases.
The uniaxial tensile mechanical properties of the QSt E series hot-rolled steel sheets( pickled automotive structural steel) in different directions( with rolling directions of 0°,45° and 90° respectively) were experimentally tested,and anisotropy yield behavior was gained. According to the anisotropic yield criteria of Hill48、Hill90 and Barlat89 and parameter calculation method,the anisotropic yield models of QSt E series steel were established respectively. Meanwhile,the experiment results were compared with the yield stress in different directions and r values predicted by the model. The results show that the optimized solving method of parameters can predict the yield stress and r values simultaneously very well. In the prediction capability of r values,Hill48 yield criterion can predict well regardless of the parabolic or monotonic incremental change of r value,and Hill90 yield criterion can only predict the monotonically increasing variation well,and Barlat89 yield criteria is weak in predicting the two cases.
引文
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[8]王海波,陈正阳,阎昱.屈服准则对DP600钢板各向异性行为的预测能力[J].塑性工程学报,2015,23(2):45-50.WANG Haibo,CHEN Zhengyang,YAN Yu. Capabilities of yield criterion on predicting the anisotropic behaviors of DP600 steel sheet[J]. Journal of Plasticity Engineering,2015,23(2):45-50.
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[10] HILL R. A theory of the yielding and plastic flow of anisotropic metals[J]. Proc. R. Soc. Lond. A,1948,193(1033):281-297.
[11] HILL R. Constitutive modelling of orthotropic plasticity in sheet metals[J]. Journal of the Mechanics and Physics of Solids,1990,38(3):405-417.
[12] HILL R. Theoretical plasticity of textured aggregates[J]. Mathematical Proceedings of the Cambridge Philosophical Society,1979,85(1):179-191.
[13] BARLAT F,RICHMOND O. Prediction of tricomponent plane stress yield surfaces and associated flow and failure behavior of strongly textured fcc polycrystalline sheets[J]. Materials Science and Engineering,1987,95:15-29.
[14] HOSFORD W F. On yield loci of anisotropic cubic metals[C]//Proceedings of the Seventh North American Metalworking Research Conference. Dearborn,1979:191-196.
[15] BANABIC D,ARETZ H,COMSA D S,et al. An improved analytical description of orthotropy in metallic sheets[J]. International Journal of Plasticity,2005,21(3):493-512.
[16] LIN S B,DING J L. A modified form of Hill's orientation-dependent yield criterion for orthotropic sheet metals[J]. Journal of the Mechanics and Physics of Solids,1996,44(11):1739-1764.
[17] LEACOCK A G. A mathematical description of orthotropy in sheet metals[J]. Journal of the Mechanics and Physics of Solids,2006,54(2):425-444.
[18] GB/T 228. 1—2010,金属材料拉伸试验,第1部分:室温试验方法[S].GB/T 228. 1—2010, Metallic materials tensile testing, Part 1:Method of test at room temperature[S].
[19]王海波,万敏,阎昱,等.参数求解方法对屈服准则的各向异性行为描述能力的影响[J].机械工程学报,2013,49(24):45-53.WANG Haibo,WAN Min,YAN Yu,et al. Effect of the solving method of parameters on the description ability of the yield criterion about the anisotropic behavior[J]. Journal of Mechanical Engineering,2013,49(24):45-53.
[2]王利,杨雄飞,陆匠心.汽车轻量化用高强度钢板的发展[J].钢铁,2006,41(9):1-8.WANG Li,YANG Xiongfei,LU Jiangxin. Development of high strength steel sheets for lightweight automobile[J]. Iron and Steel,2006,41(9):1-8.
[3]叶平,沈剑平,王光耀,等.汽车轻量化用高强度钢现状及其发展趋势[J].机械工程材料,2006,(3):4-7.YE Ping,SHEN Jianping,WANG Guangyao,et al. Current status and development of light-weighting high strength steel used in automobiles[J]. Materials for Mechanical Engineering,2006,(3):4-7.
[4]张志超,孙彤彤,何晓明.薄规格酸洗板热连轧关键生产工艺控制[J].轧钢,2013,30(5):18-20.ZHANG Zhichao,SUN Tongtong,HE Xiaoming. Control of critical hot-rolling process for pickled sheet steel[J]. Steel Rolling,2013,30(5):18-20.
[5]杨得草,康海军,于立伟,等. SPFH540热轧酸洗板组织性能研究[J].轧钢,2016,(5):15-17.YANG Decao,KANG Haijun,YU Liwei,et al. Research on microstructure and performance of SPFH540 hot-rolled pickling sheet[J]. Steel Rolling,2016,(5):15-17.
[6]蔡明伟,骆仁智,刘义. QStE500TM高强细晶组织钢和成形性能的研究[J].浙江冶金,2017,(4):34-36.CAI Mingwei,LUO Renzhi,LIU Yi. Research on formability of QStE500TM high strength fine crystal structure steel[J]. Zhejiang Metallurgy,2017,(4):34-36.
[7]邱双全,陈勇,张爱梅.冲压成形用汽车结构钢QStE380TM的开发[J].新疆钢铁,2011,(1):4-6.QIU Shuangquan,CHEN Yong,ZHANG Aimei. Exploitation of automobile structure steel QStE380TM for punching forming[J]Xinjiang Iron and Steel,2011,(1):4-6.
[8]王海波,陈正阳,阎昱.屈服准则对DP600钢板各向异性行为的预测能力[J].塑性工程学报,2015,23(2):45-50.WANG Haibo,CHEN Zhengyang,YAN Yu. Capabilities of yield criterion on predicting the anisotropic behaviors of DP600 steel sheet[J]. Journal of Plasticity Engineering,2015,23(2):45-50.
[9] VON MISES R V. Mechanics of plastic deformation of crystals[C]//Zeitschrift fur Angewandte Mathematik und Mechanik. German,1928:161-185.
[10] HILL R. A theory of the yielding and plastic flow of anisotropic metals[J]. Proc. R. Soc. Lond. A,1948,193(1033):281-297.
[11] HILL R. Constitutive modelling of orthotropic plasticity in sheet metals[J]. Journal of the Mechanics and Physics of Solids,1990,38(3):405-417.
[12] HILL R. Theoretical plasticity of textured aggregates[J]. Mathematical Proceedings of the Cambridge Philosophical Society,1979,85(1):179-191.
[13] BARLAT F,RICHMOND O. Prediction of tricomponent plane stress yield surfaces and associated flow and failure behavior of strongly textured fcc polycrystalline sheets[J]. Materials Science and Engineering,1987,95:15-29.
[14] HOSFORD W F. On yield loci of anisotropic cubic metals[C]//Proceedings of the Seventh North American Metalworking Research Conference. Dearborn,1979:191-196.
[15] BANABIC D,ARETZ H,COMSA D S,et al. An improved analytical description of orthotropy in metallic sheets[J]. International Journal of Plasticity,2005,21(3):493-512.
[16] LIN S B,DING J L. A modified form of Hill's orientation-dependent yield criterion for orthotropic sheet metals[J]. Journal of the Mechanics and Physics of Solids,1996,44(11):1739-1764.
[17] LEACOCK A G. A mathematical description of orthotropy in sheet metals[J]. Journal of the Mechanics and Physics of Solids,2006,54(2):425-444.
[18] GB/T 228. 1—2010,金属材料拉伸试验,第1部分:室温试验方法[S].GB/T 228. 1—2010, Metallic materials tensile testing, Part 1:Method of test at room temperature[S].
[19]王海波,万敏,阎昱,等.参数求解方法对屈服准则的各向异性行为描述能力的影响[J].机械工程学报,2013,49(24):45-53.WANG Haibo,WAN Min,YAN Yu,et al. Effect of the solving method of parameters on the description ability of the yield criterion about the anisotropic behavior[J]. Journal of Mechanical Engineering,2013,49(24):45-53.