各向异性材料流动应力模型研究
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摘要
根据塑性应变的等效原理,基于Hill48屈服准则,建立各向异性材料等效塑性应变表达式,并应用于各向异性材料流动应力的建模.将Swift模型、Voce模型及Swift-Voce模型等流动应力模型应用于各向异性材料应变强化行为预测.结果表明:在材料均匀变形的小应变范围内,三种模型的决定系数高于0.998,均方根优于2.523,具有很高的拟合精度;在材料的大应变范围内,Swift-Voce模型的决定系数为0.967,均方根为11.973,预测效果最佳,能较好地预测各向异性材料大应变范围的流动应力.研究结果可为材料的数值模拟提供更准确的流动应力模型,提高计算精度.
Based on the principle of equivalent for plastic strain and the Hill48 yield criterion,a new equivalent plastic strain expression was derived and used to establish some flow stress models for anisotropic materials.Flow stress models,such as Swift,Voce and Swift-Voce models,were investigated in the hardening properties for an anisotropic material.Results show these models have very high fitting precision within uniform strain range.Coefficients of determination are better than 0.998,and root mean square errors are better than 2.523 in these cases.However,the best model is the Swift-Voce type for predicting flow stress of the anisotropic material in a wide range of strains. Its coefficient of determination and root mean square error are 0.967 and 11.973,respectively.Research results can provide more accurate flow stress models and improve calculation accuracy for anisotropic materials.
Based on the principle of equivalent for plastic strain and the Hill48 yield criterion,a new equivalent plastic strain expression was derived and used to establish some flow stress models for anisotropic materials.Flow stress models,such as Swift,Voce and Swift-Voce models,were investigated in the hardening properties for an anisotropic material.Results show these models have very high fitting precision within uniform strain range.Coefficients of determination are better than 0.998,and root mean square errors are better than 2.523 in these cases.However,the best model is the Swift-Voce type for predicting flow stress of the anisotropic material in a wide range of strains. Its coefficient of determination and root mean square error are 0.967 and 11.973,respectively.Research results can provide more accurate flow stress models and improve calculation accuracy for anisotropic materials.
引文
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[2]Koc P,Stok B.Computer-aided identification of the yield curve of a sheet metal after onset of necking[J].Com-putational Materials Science,2004,31(1-2):155-168.
[3]Dziallach S,Bleck W,Blumbach M,et al.Sheet metal testing and flow curve determination under multiaxial conditions[J].Advanced Engineering Materials,2007,9(11):987-994.
[4]李宏烨,庄新村,赵震.材料常用流动应力模型研究[J].模具技术,2009(5):1-4,48.
[5]金飞翔,钟志平,李凤娇,等.不同硬化模型对铝合金板冲压成形模拟结果的影响[J].机械工程学报,2017,53(22):57-66.
[6]Chen J,Xiao Y,Ding W,et al.Describing the non-saturating cyclic hardening behavior with a newly developed kinematic hardening model and its application in springback prediction of DP sheet metals[J].Journal of Materials Processing Technology,2015,215:151-158.
[7]Roth C C,Mohr D.Effect of strain rate on ductile fracture initiation in advanced high strength steel sheets:Experiments and modeling[J].International Journal of Plasticity,2014,56:19-44.
[8]Capilla G,Hamasaki H,Yoshida F.Determination of uniaxial large-strain workhardening of high-strength steel sheets from in-plane stretch-bending testing[J].Journal of Materials Processing Technology,2017,243:152-169.
[9]Sung J H,Kim J H,Wagoner R H.A plastic constitutive equation incorporating strain,strain-rate,and temperature[J].International Journal of Plasticity,2010,26(12):1746-1771.
[10]Zhao K,Wang L,Chang Y,et al.Identification of post-necking stress-strain curve for sheet metals by inverse method[J].Mechanics of Materials,2016,92:107-118.
[11]吴向东,万敏,王文平.板材等效应力-等效应变曲线的建立及分析[J].材料科学与工艺,2009,17(2):236-238.
[12]柳玉起,徐丹,许江平.改进的5参数Barlat-Lian屈服准则[J].华中科技大学学报:自然科学版,2008,36(1):129-132.
[13]Gaied S,Roelandt J M,Pinard F,et al.Experimental and numerical assessment of Tailor-Welded Blanks forma-bility[J].Journal of Materials Processing Technology,2009,209(1):387-395.