摘要:
摘 要:为系统表征30CrMnSiNi2A高强钢在不同应力状态、应变率和温度条件下的动力学行为,并研究其在平头弹冲击下的抗侵彻性能与失效特征,开展了准静态、动态、高温力学性能实验及弹道冲击实验,建立了相应的塑性-断裂材料模型及有限元分析方法。采用Ludwik与Voce硬化准则线性组合的修正Johnson-Cook(MJC)塑性模型描述材料的应变硬化、应变率效应和温度效应,采用同时考虑应力三轴度、Lode参数以及应变率和温度影响的扩展Xue-Wierzbicki(XW)断裂准则表征材料的韧性断裂行为。通过光滑圆棒、缺口圆棒、平板剪切和平面应变等准静态实验,以及应变率为1063.8~4753.8 s⁻¹的分离式霍普金森压杆动态压缩实验、应变率为25~1000 s⁻¹的高速拉伸实验和200~800 ℃高温拉伸实验,结合有限元反演完成材料模型参数的系统标定。结果表明,30CrMnSiNi2A高强钢具有显著的应变率强化和高温软化特征:应变率由准静态提高至4547.8 s⁻¹时,屈服强度由1095.6 MPa提高至1497.0 MPa,而温度达到600 ℃及以上时材料强度明显下降;其韧性断裂具有显著的应力状态和Lode相关性,剪切和平面应变状态下的断裂应变较单轴拉伸状态分别降低35.8%和63.9%。采用名义直径6 mm平头弹对4 mm厚30CrMnSiNi2A钢靶开展13组弹道冲击实验,冲击速度为196.2~413.9 m/s,基于Lambert-Jonas模型拟合得到弹道极限为209.9 m/s,靶板的主导失效模式为剪切冲塞。基于标定后的材料模型建立ABAQUS轴对称有限元模型,结果表明弹道极限预测对局部单元尺寸具有显著敏感性;局部单元尺寸为75 μm和50 μm时,预测弹道极限分别为213.7和205.0 m/s,与实验拟合值的误差分别为1.8%和−2.4%,且模拟得到的主导失效模式与实验结果一致。研究结果表明,系统标定的MJC塑性模型与扩展XW断裂准则能够较好表征30CrMnSiNi2A高强钢的动态塑性和应力状态相关断裂行为,并可在合理控制局部单元尺寸的条件下预测平头弹冲击下靶板的弹道极限与剪切冲塞失效。
Abstract:
Abstract: To systematically characterize the dynamic mechanical behavior of 30CrMnSiNi2A ultra-high-strength steel under different stress states, strain rates, and temperatures, and to evaluate its ballistic resistance and failure characteristics under flat-nosed projectile impact, a comprehensive experimental and numerical investigation was conducted. A modified Johnson-Cook (MJC) plasticity model was employed to describe the plastic response, in which the strain-hardening term was represented by a linear combination of the Ludwik and Voce laws, together with strain-rate hardening and temperature-softening terms. An extended Xue-Wierzbicki (XW) fracture criterion incorporating stress triaxiality, the normalized third invariant of the deviatoric stress tensor (Lode parameter), strain rate, and temperature was adopted to characterize ductile fracture. The material parameters were calibrated using a combined experimental and finite-element-based identification procedure. Quasi-static tests on smooth round-bar, notched round-bar, flat shear, and plane-strain specimens were performed to cover different stress states. Split Hopkinson pressure bar compression tests at strain rates of 1063.8~4753.8 s⁻¹, high-rate tensile tests at 25~1000 s⁻¹, and elevated-temperature tensile tests from 200 to 800 °C were further conducted to characterize strain-rate and temperature effects. Digital image correlation was used to measure local deformation and strain fields in the shear, plane-strain, and high-rate tensile specimens. The quasi-static hardening parameters were determined from the smooth round-bar tensile response, with one weighting parameter identified through inverse optimization by coupling Isight with ABAQUS. The strain-rate and thermal-softening parameters were calibrated from the measured yield stresses at different strain rates and temperatures. For fracture calibration, finite element simulations of the smooth and notched round-bar, shear, and plane-strain tests were used to extract the histories of equivalent plastic strain, stress triaxiality, and Lode parameter at the fracture location, from which the stress-state-dependent fracture locus was established. The strain-rate- and temperature-dependent fracture parameters were subsequently determined from the high-rate and elevated-temperature tensile tests. Ballistic resistance was evaluated through 13 impact tests using nominally 6-mm-diameter flat-nosed projectiles against 4-mm-thick steel targets at impact velocities of 196.2~413.9 m/s. The ballistic limit was obtained by fitting the initial–residual velocity data using the Lambert-Jonas relationship. Axisymmetric finite element simulations were finally performed in ABAQUS to evaluate the predictive capability of the calibrated material model and to quantify the influence of local element size. The results show pronounced strain-rate strengthening and thermal softening of 30CrMnSiNi2A steel. As the strain rate increased from the quasi-static regime to 4547.8 s⁻¹, the yield strength increased from 1095.6 to 1497.0 MPa, whereas a marked loss of strength occurred at temperatures of 600 °C and above. The ductile fracture response exhibited a pronounced dependence on stress state and the Lode parameter. Relative to uniaxial tension, the fracture strains under shear and plane-strain tension decreased by 35.8% and 63.9%, respectively. The Lambert-Jonas fit to the ballistic-test data yielded a ballistic limit of 209.9 m/s, and shear plugging was identified as the dominant target failure mode. The numerical ballistic limit showed significant mesh-size dependence: local element sizes of 75 and 50 μm resulted in predicted ballistic limits of 213.7 and 205.0 m/s, corresponding to deviations of +1.8% and −2.4% from the experimental fit, respectively. The dominant shear-plugging failure mode was also reproduced numerically. The results demonstrate that the systematically calibrated MJC plasticity model combined with the extended XW fracture criterion provides an effective description of the dynamic plasticity and stress-state-dependent ductile fracture of 30CrMnSiNi2A steel. With an appropriately refined local mesh, the modeling framework can reasonably predict the ballistic limit and dominant shear-plugging failure of thin 30CrMnSiNi2A steel targets subjected to flat-nosed projectile impact.