Calibration of Elastoplastic Constitutive Parameters for HRB400 Steel Based on Tension-Torsion Tests
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摘要: 为获取HRB400钢在拉伸和剪切应力状态下的弹塑性本构参数,通过加工光滑实心圆棒和空心薄壁圆管试样,分别开展单轴拉伸和纯扭转试验,利用数据处理软件处理试验数据,将均匀变形阶段的名义应力-应变曲线转换为真应力-等效塑性应变曲线,然后对塑性失稳后的真应力-塑性应变曲线采用分段线性硬化法标定,通过建立有限元模型对试验过程进行数值模拟。通过反复对比模拟与试验所得的荷载-位移曲线以及试样变形情况,对标定曲线进行迭代修正,以确保本构参数的准确性。结果表明:运用标定得到的拉伸和剪切状态下的硬化曲线开展数值模拟,模拟结果与试验曲线及试样变形情况吻合良好;HRB400钢在拉伸和剪切应力状态下的硬化曲线存在差异,具体表现为拉伸应力状态下材料的强化效应强于剪切情形;使用由拉伸试验获取的塑性参数来模拟扭转试验,模拟得到的扭矩值高于实际测量值,这一现象进一步证实了HRB400钢的强化具有方向性。研究表明,在实际工程应用中,当HRB400钢处于剪切应力状态时,为确保结构安全,应采用更为保守的强度取值。Abstract: To obtain the elastoplastic constitutive parameters of HRB400 steel under tensile and shear stress states, smooth solid round bar and hollow thin-walled circular tube specimens were fabricated, and uniaxial tension and pure torsion tests were conducted respectively. The experimental data were processed using data processing software, where the nominal stress-strain curves in the uniform deformation stage were converted to true stress-equivalent plastic strain curves. Subsequently, the true stress-plastic strain curves after plastic instability were calibrated using the piecewise linear hardening method. A finite element model was established to simulate the experimental process. By repeatedly comparing the load-displacement curves obtained from simulations and experiments, as well as the deformation behaviors of the specimens, the calibrated curves were iteratively corrected to ensure the accuracy of the constitutive parameters. The results showed that when the calibrated hardening curves under tensile and shear states were applied in numerical simulations, the simulation results were in good agreement with the experimental curves and the deformation behaviors of the specimens. Comparative analysis revealed that there were differences in the hardening curves of HRB400 steel under tensile and shear stress states, specifically manifested as a stronger hardening effect under tensile stress than under shear stress. When the elastoplastic parameters obtained from tensile tests were used to simulate torsion tests, the simulated torque values were higher than the measured values, which further confirmed that the hardening of HRB400 steel exhibited directionality. The findings indicate that in practical engineering applications, a more conservative strength value should be adopted for HRB400 steel under shear stress states to ensure structural safety.
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