A user-friendly 3D yield function to describe anisotropy of steel sheets
A user-friendly 3D yield function to describe anisotropy of steel sheets
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DOI：
10.1016/j.ijplas.2013.01.010
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发表时间：
2013-06
影响因子：
9.8
通讯作者：
F. Yoshida;H. Hamasaki;T. Uemori
中科院分区：
文献类型：
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作者：
F. Yoshida;H. Hamasaki;T. Uemori
提出了一种六阶多项式型三维屈服函数，该函数对描述钢板的各向异性行为具有较高的灵活性。将J2-J3 Drucker屈服准则（Drucker, 1949）推广到正交异性，利用应力偏差的线性变换，将屈服函数构造为Cazacu和Barlat， 2001的几个分量的和，从而完全保证了屈服轨迹的凹凸性。通过对几种类型钢板（高r值中频钢和SPCE以及440 ~ 980mpa TS等级的高强钢板）的平面各向异性、流变应力方向性以及屈服位点形状的数值预测，验证了该模型的有效性。对于大多数钢板，使用涉及8个各向异性系数的两个J2components的和的模型足以描述它们的各向异性。进一步发现，考虑j3效应可以改善某些钢板（如高r值中频钢和980MPa级双相高速钢）的各向异性描述。
A sixth-order polynomial type 3D yield function, which has a high flexibility of describing anisotropic behavior of steel sheet, is proposed. The yield function is constructed as a sum of several components of the Cazacu and Barlat, 2001 which was derived as an extension of the J2–J3 Drucker yield criterion (Drucker, 1949) to orthotropy using the linear transformation of the stress deviator, so that the convexity of the yield locus is perfectly guaranteed. The model was validated by comparing the numerical predictions of planar anisotropy of r-values and flow stress directionality, as well as the shape of yield loci, with the corresponding experimental data on several types of steel sheets (high r-valued IF steel and SPCE, and high strength steel sheets of 440–980MPa TS grades). For most of steel sheets, the model using the sum of two J2components, which involve eight anisotropic coefficients, is sufficient for the description of their anisotropies. Further it was found that the consideration of J3effect improves the description of anisotropy for some steel sheets (e.g., high r-valued IF steel and 980MPa grade dual phase HSS).