屈服准则对DC05钢板十字拉深变形预测的评价
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摘要
结合国际成形论坛十字拉深实验考题,分别采用Mises、Hill48和Yld2000-2d这3种屈服准则和Hockett-Sherby硬化模型集成的本构模型描述DC05钢板力学行为,并建立三维弹塑性有限元模型,预测十字拉深成形的面内主应变和拉深毛坯外轮廓线。重点关注屈服准则对变形预测精度的敏感性分析,以及DIC测量复杂应变路径下的拉深变形分析。在板材力学行为描述方面,Yld2000-2d能同时兼顾应力和变形各向异性特性,而Hill48只能描述其一。十字拉深成形数值预测与实验测量对比结果表明,材料流动的预测和实验趋势吻合,屈服准则对面内主应变的预测影响非常显著,但是计算和测量结果存在显著偏差;预测结果相对实验测量值均偏低,其中Hill48-R预测面内主应变的能力明显高于其他屈服准则,而Yld2000-2d由于受到应力预测偏差的干扰,反而精度不是很理想;另外,对于复杂外轮廓线预测也存在同样的偏差趋势。
By means of cross-die deep drawing experimental benchmark provided by Forming Technology Forum(FTF2015),three yield criteria,i. e.,Mises,Hill48 and Yld2000-2 d,integrated with Hockett-Sherby hardening model,were employed to describe the mechanical behavior. And three dimensional elastc-plastic FEM model was established to predict in-plane principal strain and draw-in outline. By using digital image correlation technique,the sensitivity analysis of different yield criteria on the prediction of plastic deformation was assessed as well as its deformation analysis under complex strain path. For the description of mechanical behaviors,Yld2000-2 d could exactly capture both yield stresses and anisotropic characteristics simultaneously,but Hill48 model was able to describe either of them. The comparison of deformation predication of cross-die and experimental result indicates that,even though the simulations of material flow are quite acceptable,significant differences still exist. The anisotropic yield criterion makes a remarkable effect on the in-plane principal strain prediction,and all the numerical data are lower than the experimental one. Hill48-R anisotropic yield criterion predicts better strain distribution than the others,while Yld2000-2 d has a poor prediction due to its compromise of stress prediction. Additionally,discrepancies of them are also observed in draw-in outline.
By means of cross-die deep drawing experimental benchmark provided by Forming Technology Forum(FTF2015),three yield criteria,i. e.,Mises,Hill48 and Yld2000-2 d,integrated with Hockett-Sherby hardening model,were employed to describe the mechanical behavior. And three dimensional elastc-plastic FEM model was established to predict in-plane principal strain and draw-in outline. By using digital image correlation technique,the sensitivity analysis of different yield criteria on the prediction of plastic deformation was assessed as well as its deformation analysis under complex strain path. For the description of mechanical behaviors,Yld2000-2 d could exactly capture both yield stresses and anisotropic characteristics simultaneously,but Hill48 model was able to describe either of them. The comparison of deformation predication of cross-die and experimental result indicates that,even though the simulations of material flow are quite acceptable,significant differences still exist. The anisotropic yield criterion makes a remarkable effect on the in-plane principal strain prediction,and all the numerical data are lower than the experimental one. Hill48-R anisotropic yield criterion predicts better strain distribution than the others,while Yld2000-2 d has a poor prediction due to its compromise of stress prediction. Additionally,discrepancies of them are also observed in draw-in outline.
引文
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[12]张飞飞,陈劼实,陈军,等.各向异性屈服准则的发展及实验验证综述[J].力学进展,2012,42(1):68-80.ZHANG Feifei,CHEN Jieshi,CHEN Jun,et al.Review on development and experimental validation for anisotropic yield criterions[J].Advance in Mechanics,2012,42(1):68-80.
[13]IZADPANAH S,GHADERI S H,GERDOOEI M.Material parameters identification procedure for BBC2003 yield criterion and earing prediction in deep drawing[J].International Journal of Mechanical Sciences,2016,115-116:552-563.
[14]HILL R.A theory of the yielding and plastic flow of anisotropic metals[J].Proceedings of the Royal Society of London.Series A,Mathematical and Physical Sciences,1948,193(1033):281-297.
[15]ASTM E8,金属拉伸试验标准[S].ASTM E8,Standard test methods for tension testing of metallic materials[S].
[16]BARLAT F,BREM J C,YOON J W,et al.Plane stress yield function for aluminium alloy sheets-Part I:theory[J].International Journal of Plasticity,2003,19:1297-1319.
[17]BANABIC D.Sheet metal forming processes:Constitutive modelling and numerical simulation[M].Heidelberg:Springer Berlin Heidelberg,2010.
[18]EGGERTSEN P A,MATTIASSON K.Experiences from experimental and numerical springback studies of a semi-industrial forming tool[J].International Journal of Material Forming,2012,5(4):341-359.
[19]CLAUSMEYER T,GUNER A,TEKKAYA A E,et al.Modeling and finite element simulation of loading-path-dependent hardening in sheet metals during forming[J].International Journal of Plasticity,2014,63(1):64-93.
[2]XUE X,LIAO J,VINCZE G,et al.Modelling and sensitivity analysis of twist springback in deep drawing of dual phase steel[J].Materials and Design,2016,90:204-217.
[3]XUE X,LIAO J,VINCZE G,et al.Twist springback characteristics of dual-phase steel sheet after non-asymmetric deep drawing[J].International Journal of Material Forming,2017,10(2):267-278.
[4]XUE X,LIAO J,VINCZE G,et al.Experimental assessment of nonlinear elastic behaviour of dual-phase steels and application to springback prediction[J].International Journal of Mechanical Sciences,2016,117:1-15.
[5]LIAO J,XUE X,LEE M G,et al.Constitutive modeling for pathdependent behaviour and its influence on twist springback[J].International Journal of Plasticity,2017,93:64-88.
[6]LIAO J,XUE X,SOUSA J,et al.Constitutive description of dual phase steel under non-proportional loading using distortional hardening approach[C]//Proceeding of the 8th Forming Technology Forum(FTF2015),ETH Zurich:143-147.
[7]LIAO J,XUE X,LEE M G,et al.On twist springback prediction of asymmetric tube in rotary draw bending with different constitutive models[J].International Journal of Mechanical Sciences,2014,89:311-322.
[8]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.
[9]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,2015,22(2):45-50.WANG Haibo,CHEN Zhengyang,YAN Yu.Capabilities of yield criteria on predicting the anisotropic behaviors of DP600 steel sheet[J].Journal of Plasticity Engineering,2015,22(2):45-50.
[10]严勇,吴超,胡志力,等.汽车铝合金覆盖件成形数值模拟的各向异性屈服准则研究[J].塑性工程学报,2016,23(2):92-97.YAN Yong,WU Chao,HU Zhili,et al.Anisotropic yield criterion for automotive aluminum panels forming numerical simulation[J].Journal of Plasticity Engineering,2016,23(2):92-97.
[11]唐炳涛,鹿晓阳.基于塑性流动本构关系的多步反向模拟法[J].机械工程学报,2011,47(2):47-52.TANG Bingtao,LU Xiaoyang.Novel multi-step inverse finite element method based on constitutive equations of plastic flow in sheet metal forming[J].Journal of Mechanical Engineering,2011,47(2):47-52.
[12]张飞飞,陈劼实,陈军,等.各向异性屈服准则的发展及实验验证综述[J].力学进展,2012,42(1):68-80.ZHANG Feifei,CHEN Jieshi,CHEN Jun,et al.Review on development and experimental validation for anisotropic yield criterions[J].Advance in Mechanics,2012,42(1):68-80.
[13]IZADPANAH S,GHADERI S H,GERDOOEI M.Material parameters identification procedure for BBC2003 yield criterion and earing prediction in deep drawing[J].International Journal of Mechanical Sciences,2016,115-116:552-563.
[14]HILL R.A theory of the yielding and plastic flow of anisotropic metals[J].Proceedings of the Royal Society of London.Series A,Mathematical and Physical Sciences,1948,193(1033):281-297.
[15]ASTM E8,金属拉伸试验标准[S].ASTM E8,Standard test methods for tension testing of metallic materials[S].
[16]BARLAT F,BREM J C,YOON J W,et al.Plane stress yield function for aluminium alloy sheets-Part I:theory[J].International Journal of Plasticity,2003,19:1297-1319.
[17]BANABIC D.Sheet metal forming processes:Constitutive modelling and numerical simulation[M].Heidelberg:Springer Berlin Heidelberg,2010.
[18]EGGERTSEN P A,MATTIASSON K.Experiences from experimental and numerical springback studies of a semi-industrial forming tool[J].International Journal of Material Forming,2012,5(4):341-359.
[19]CLAUSMEYER T,GUNER A,TEKKAYA A E,et al.Modeling and finite element simulation of loading-path-dependent hardening in sheet metals during forming[J].International Journal of Plasticity,2014,63(1):64-93.