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Characterization of the post-necking strain hardening behavior using the virtual fields method

机译：使用虚拟场方法表征颈缩后应变硬化行为

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The present study aims at characterizing the post-necking strain hardening behavior of three sheet metals having different hardening behavior. Standard tensile tests were performed on sheet metal specimens up to fracture and heterogeneous logarithmic strain fields were obtained from a digital image correlation technique. Then, an appropriate elasto-plastic constitutive model was chosen. Von Mises yield criterion under plane stress and isotropic hardening law were considered to retrieve the relationship between stress and strain. The virtual fields method (VFM) was adopted as an inverse method to determine the constitutive parameters by calculating the stress fields from the heterogeneous strain fields. The results show that the choice of a hardening law which can describe the hardening behavior accurately is important to derive the true stress-strain curve. Finally, post-necking hardening behavior was successfully characterized up to the initial stage of localized necking using the VFM with Swift and modified Voce laws.
机译：本研究旨在表征三种具有不同硬化行为的金属板材的颈缩后应变硬化行为。在钣金样品上进行标准拉伸试验直至断裂，并通过数字图像相关技术获得不均匀对数应变场。然后，选择了合适的弹塑性本构模型。考虑平面应力和各向同性硬化规律下的冯·米塞斯屈服准则，以恢复应力和应变之间的关系。虚拟场方法（VFM）被用作通过从非均匀应变场计算应力场来确定本构参数的逆方法。结果表明，选择能准确描述硬化行为的硬化规律对于得出真实的应力-应变曲线很重要。最终，使用带有Swift和修改后的Voce定律的VFM，成功地表征了颈缩后的硬化行为直至局部颈缩的初始阶段。

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