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广义Banabic准则与损伤比理论对金属屈服行为预测的比较

余官平 陈雷 张健

铁道科学与工程学报2025,Vol.22Issue(1):357-367,11.
铁道科学与工程学报2025,Vol.22Issue(1):357-367,11.DOI:10.19713/j.cnki.43-1423/u.T20240539

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

余官平 1陈雷 1张健2

作者信息

  • 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
  • 折叠

摘要

Abstract

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 convenient for engineering applications in the absence of bi-axial loading experimental data.Therefore,the generalized Banabic non-quadratic criterion can be used for yielding and plastic deformation calculations of tensile-compressive asymmetric metals,which greatly broadens the application scope of the classical Banabic non-quadratic yield criterion.

关键词

屈服准则/各向异性/强度差效应/损伤比/金属板料

Key words

yield criterion/anisotropy/strength differential effect/damage ratio/sheet metals

分类

数理科学

引用本文复制引用

余官平,陈雷,张健..广义Banabic准则与损伤比理论对金属屈服行为预测的比较[J].铁道科学与工程学报,2025,22(1):357-367,11.

基金项目

国家自然科学基金资助项目(11872190) (11872190)

铁道科学与工程学报

OA北大核心

1672-7029

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