广义Banabic准则与损伤比理论对金属屈服行为预测的比较  

Comparison of generalized Banabic criterion and damage ratio yield theory for prediction of metal’s yielding behavior

作　　者：余官平 陈雷 张健[2] YU Guanping;CHEN Lei;ZHANG Jian(Faculty of Civil Engineering and Mechanics,Jiangsu University,Zhenjiang 212013,China;Ocean Institute,Northwestern Polytechnical University,Taicang 215400,China)

机构地区：[1]江苏大学土木工程与力学学院,江苏镇江212013 [2]西北工业大学海洋研究院,江苏太仓215400

出　　处：《铁道科学与工程学报》2025年第1期357-367,共11页Journal of Railway Science and Engineering

基　　金：国家自然科学基金资助项目(11872190)。

摘　　要：屈服准则作为金属材料进入塑性的判据,在结构强度设计、金属塑性成型等领域得到广泛应用。为预测拉-压非对称金属的屈服行为,采用将各向异性和拉-压非对称性解耦的方法,把Banabic非二次式屈服准则推广到拉-压非对称,建立一个能同时描述塑性各向异性和拉-压非对称性的屈服准则,可视为广义的Banabic非二次式屈服准则。为了评估所建立屈服准则的预测能力,将其应用到AA5754-O铝合金的屈服及Cu-Al-Be形状记忆合金的相变转换起始面预测中,并与丁发兴等提出的损伤比屈服理论进行对比。结果表明,广义Banabic非二次式屈服准则和损伤比屈服理论都能很好地预测AA5754-O铝合金的屈服以及形状记忆合金Cu-Al-Be的相变转换起始面。2个准则都非常准确地预测了AA5754-O铝合金压缩屈服应力随取向的变化规律,二者的预测结果完全一致。广义Banabic非二次式屈服准则能很好地模拟AA5754-O铝合金在双向等拉(压)区附近的大曲率屈服轨迹,损伤比屈服理论则明显高估了其屈服应力;对于Cu-Al-Be形状记忆合金起始相变转换“屈服”面的预测,损伤比屈服理论预测精度高于广义Banabic非二次式屈服准则,但不能保证“屈服”面的外凸性。此外,广义Banabic非二次式屈服准则可通过单轴加载屈服强度和塑性应变比r值标定准则的系数,在缺乏双向加载实验数据的情况下更便于工程应用。因此,推广的Banabic非二次式屈服准则可用于拉-压非对称金属的屈服和塑性变形计算,极大地拓宽了经典Banabic非二次式屈服准则的应用范围。Yield criterion is widely used as a criterion for the onset of plastic deformation of metallic materials in structural design and plastic forming of metals.In order to predict the yield behavior of tension-compression asymmetric metals,the Banabic non-quadratic yield criterion was extended to tension-compression asymmetry by using a method that decouples anisotropy and tension-compression asymmetry.The established yield criterion,which had the ability to describe both plastic anisotropy and tensile-compressive asymmetry,can be regarded as a generalized Banabic non-quadratic yield criterion.In order to evaluate the prediction ability of the established yield criterion,it was applied to the prediction of the yielding of AA5754-O aluminum alloy,as well as the prediction of phase transition initiation surface of Cu-Al-Be shape memory alloy,and compared with the damage ratio yield theory proposed by Ding Faxing,et al.The results show that both the generalized Banabic non-quadratic yield criterion and damage ratio yield theory can well predict the yielding of AA5754-O alloy,as well as the phase transition initiation surface of Cu-Al-Be.Both criteria can accurately predict the variation of compressive yield stress with orientation of AA5754-O aluminum alloy,and their predicted results are very close.The generalized Banabic non-quadratic yield criterion can well simulate the large curvature of the yield surface of AA5754-O near the equal-biaxial tension(compression)aera,but the damage ratio yield theory overestimates the yield stress in this aera obviously.For the prediction of the“yield”surface at the onset of the phase transition in Cu-Al-Be,the damage-ratio yield theory predicts a higher accuracy than the generalized Banabic non-quadratic yield criterion,but does not guarantee the convexity of the“yield”surface.In addition,the coefficients of generalized Banabic non-quadratic criterion can be calibrated by the yield stresses and r-values for uniaxial loading in different directions,which makes it more convenie

关 键 词：屈服准则 各向异性 强度差效应 损伤比 金属板料 

分 类 号：O346[理学—固体力学]