The accurate measurement of flow stress curve to large strains using cylindrical compression specimen is always a great challenge due to the influence of friction. Recently, the present authors designed a hyperbolic shaped compression (HSC) specimen which can yield an average true stress- strain curve independent of friction and proposed a stress correction function for fast estimation of flow stress curve to large strains. The aim of this paper is threefold. Firstly, to investigate whether the analytical method for stress correction of tensile necking can, or cannot, be extended to HSC specimen for correcting average true stress into flow stress. Secondly, to develop an inverse method based on Kriging surrogate model for identifying the optimal parameters of modified Voce model using HSC specimen. Lastly, the advantages and disadvantages of these three methods were compared and the recommendations for application were also discussed. The results show that the analytical method is more suitable to the stress correction for material with higher n-value but shows worse capability for correcting flow stress related to large strains for material with lower n-value. For Q420 steel, the maximum strain achieved by HSC specimen (0.8) is far higher than that achieved by cylindrical tension specimen (0.55). The analytical method can correct the flow stress in the strain range of 0–0.5 effectively but underestimating the flow stress in the strain range of 0.5–0.8 due to its low n-value. Both inverse method and stress correction function can determine the flow stress in the strain range of 0–0.8 successfully. Thus, for isotropic material with tension–compression yield symmetry, it is recommended to use the HSC specimen instead of conventional tension and compression tests of cylindrical specimens to determine the flow stress curve to large strains.

由于摩擦力的影响，使用圆柱形压缩试样准确测量大应变下的流动应力曲线始终是一个巨大的挑战。最近，作者设计了一个双曲线形状的压缩（HSC）标本，该标本可以产生独立于摩擦的平均真实应力-应变曲线，并提出了一种应力校正函数，用于快速估算大应变的流动应力曲线。本文的目的是三重的。首先，研究拉伸颈缩应力校正的分析方法是否可以扩展到HSC试样，以将平均真实应力校正为流动应力。其次，提出了一种基于克里格代理模型的逆方法，用于利用HSC样本识别改进的Voce模型的最优参数。最后，比较了这三种方法的优缺点，并讨论了应用建议。结果表明，该分析方法更适合于较高材料的应力校正。n值，但对于n值较低的材料，其校正与大应变相关的流应力的能力较差。对于Q420钢，HSC试样（0.8）达到的最大应变远高于圆柱拉伸试样（0.55）达到的最大应变。该分析方法可以有效地校正0-0.5应变范围内的流应力，但由于其n值较低，因此低估了0.5-0.8应变范围内的流应力。-价值。逆方法和应力校正功能都可以成功确定0-0.8应变范围内的流应力。因此，对于具有拉伸-压缩屈服对称性的各向同性材料，建议使用HSC试样代替圆柱形试样的常规拉伸和压缩试验来确定大应变下的流动应力曲线。